diff --git "a/trees/auto_problem_090_tree.json" "b/trees/auto_problem_090_tree.json" new file mode 100644--- /dev/null +++ "b/trees/auto_problem_090_tree.json" @@ -0,0 +1,114373 @@ +{ + "problem_id": "auto_problem_090", + "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", + "correct_answer": "Optimal feasible solution found via LP", + "tree_type": "modification", + "root_id": "node_0", + "total_nodes": 3496, + "max_depth": 8, + "nodes": { + "node_0": { + "node_id": "node_0", + "content": "INITIAL DESIGN (Trace 0)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0053)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0050)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0047)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0041)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0027)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0039)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0043)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0056)]\n\nPerformance:\n Mass: 143.77 kg\n Factor of Safety: 0.79\n Max Deflection: 1.47e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 143.7734564006022, + "fos_buckling": 0.785347329652575, + "fos_yielding": 2.4226747408612264, + "deflection": 0.014658643682115908, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1": { + "node_id": "node_1", + "content": "MODIFICATION: Increase 8 thickness by 54%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0053)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0050)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0047)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0041)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0039)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0043)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0056)]\n\nPerformance:\n Mass: 145.23 kg\n Factor of Safety: 0.79\n Max Deflection: 1.46e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 145.2254647291596, + "fos_buckling": 0.785347329652576, + "fos_yielding": 3.6005216648868945, + "deflection": 0.014561197901030526, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.541)" + }, + "parent_node_id": "node_0", + "improvement_over_parent": null + }, + "node_2": { + "node_id": "node_2", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nPerformance:\n Mass: 168.86 kg\n Factor of Safety: 0.90\n Max Deflection: 1.26e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 168.85926749265042, + "fos_buckling": 0.8955905698761643, + "fos_yielding": 4.183720762083286, + "deflection": 0.012552237301277552, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.176)" + }, + "parent_node_id": "node_1", + "improvement_over_parent": null + }, + "node_3": { + "node_id": "node_3", + "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n\nPerformance:\n Mass: 176.29 kg\n Factor of Safety: 1.35\n Max Deflection: 1.30e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.28576221201735, + "fos_buckling": 1.3546203237272259, + "fos_yielding": 4.170329573166998, + "deflection": 0.012987062470234291, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004231)" + }, + "parent_node_id": "node_2", + "improvement_over_parent": null + }, + "node_4": { + "node_id": "node_4", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n Mass: 204.37 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.37316375974345, + "fos_buckling": 1.5292578430464838, + "fos_yielding": 4.8311316878290285, + "deflection": 0.01124796388569498, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.175)" + }, + "parent_node_id": "node_3", + "improvement_over_parent": null + }, + "node_5": { + "node_id": "node_5", + "content": "MODIFICATION: Increase 10 thickness by 35%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n Mass: 204.55 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.54630082273295, + "fos_buckling": 1.529445761214289, + "fos_yielding": 4.830666676037003, + "deflection": 0.011235383190026446, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.350)" + }, + "parent_node_id": "node_4", + "improvement_over_parent": null + }, + "node_6": { + "node_id": "node_6", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_5", + "improvement_over_parent": null + }, + "node_7": { + "node_id": "node_7", + "content": "INITIAL DESIGN (Trace 1)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n\nPerformance:\n Mass: 146.71 kg\n Factor of Safety: 0.29\n Max Deflection: 3.75e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 146.71051446816958, + "fos_buckling": 0.2869137850742365, + "fos_yielding": 1.0817021889235112, + "deflection": 0.037515760972954774, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_8": { + "node_id": "node_8", + "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n M18: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n\nPerformance:\n Mass: 154.45 kg\n Factor of Safety: 0.29\n Max Deflection: 3.76e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 154.4549017169112, + "fos_buckling": 0.2867269686728882, + "fos_yielding": 1.1631784259555529, + "deflection": 0.03757564468754805, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.004527)" + }, + "parent_node_id": "node_7", + "improvement_over_parent": null + }, + "node_9": { + "node_id": "node_9", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n M18: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n\nPerformance:\n Mass: 164.68 kg\n Factor of Safety: 0.76\n Max Deflection: 1.51e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.67532451136373, + "fos_buckling": 0.7580804939975971, + "fos_yielding": 3.9730454311162755, + "deflection": 0.015106080246627124, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.005201)" + }, + "parent_node_id": "node_8", + "improvement_over_parent": null + }, + "node_10": { + "node_id": "node_10", + "content": "MODIFICATION: Increase 9 thickness by 52%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0066)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n M18: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n\nPerformance:\n Mass: 166.65 kg\n Factor of Safety: 0.74\n Max Deflection: 1.51e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.64567372642756, + "fos_buckling": 0.744267606295092, + "fos_yielding": 3.9738141583227704, + "deflection": 0.015086417418418329, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.522)" + }, + "parent_node_id": "node_9", + "improvement_over_parent": null + }, + "node_11": { + "node_id": "node_11", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0082)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n Mass: 203.60 kg\n Factor of Safety: 0.88\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.6006181863777, + "fos_buckling": 0.8824642979807035, + "fos_yielding": 4.8519753310232545, + "deflection": 0.012383201529423451, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.244)" + }, + "parent_node_id": "node_10", + "improvement_over_parent": null + }, + "node_12": { + "node_id": "node_12", + "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0082)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n Mass: 206.72 kg\n Factor of Safety: 1.55\n Max Deflection: 1.11e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 206.7159960860981, + "fos_buckling": 1.5509111726040496, + "fos_yielding": 4.8297936817242535, + "deflection": 0.011138875779509711, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)" + }, + "parent_node_id": "node_11", + "improvement_over_parent": null + }, + "node_13": { + "node_id": "node_13", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_12", + "improvement_over_parent": null + }, + "node_14": { + "node_id": "node_14", + "content": "INITIAL DESIGN (Trace 2)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0019)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0022)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0026)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0024)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0012)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0023)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0025)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0020)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0020)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0009)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0007)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0015)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0019)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0021)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0017)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0018)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0020)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0020)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0018)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0022)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0027)]\n\nPerformance:\n Mass: 75.95 kg\n Factor of Safety: 0.61\n Max Deflection: 2.96e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 75.95156225212358, + "fos_buckling": 0.6100248509423499, + "fos_yielding": 1.817421664395307, + "deflection": 0.029626416579401717, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_15": { + "node_id": "node_15", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0025)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0029)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0034)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0032)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0015)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0030)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0033)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0026)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0026)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0012)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0009)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0019)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0025)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0028)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0022)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0024)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0026)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0026)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0023)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0029)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0036)]\n\nPerformance:\n Mass: 98.71 kg\n Factor of Safety: 0.78\n Max Deflection: 2.29e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 98.71223657425541, + "fos_buckling": 0.7769367098215044, + "fos_yielding": 2.3605047457560056, + "deflection": 0.022872876008774225, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.312)" + }, + "parent_node_id": "node_14", + "improvement_over_parent": null + }, + "node_16": { + "node_id": "node_16", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0044)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0020)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0039)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0034)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0036)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0028)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0034)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0046)]\n\nPerformance:\n Mass: 126.33 kg\n Factor of Safety: 0.97\n Max Deflection: 1.79e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 126.32835362530798, + "fos_buckling": 0.9699480633867995, + "fos_yielding": 3.0184701010361024, + "deflection": 0.01794631084950515, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.295)" + }, + "parent_node_id": "node_15", + "improvement_over_parent": null + }, + "node_17": { + "node_id": "node_17", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0052)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0049)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0023)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0040)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0040)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0054)]\n\nPerformance:\n Mass: 147.08 kg\n Factor of Safety: 1.11\n Max Deflection: 1.55e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 147.07822308147658, + "fos_buckling": 1.1082395161812066, + "fos_yielding": 3.5121378656438527, + "deflection": 0.015461926917050945, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.175)" + }, + "parent_node_id": "node_16", + "improvement_over_parent": null + }, + "node_18": { + "node_id": "node_18", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nPerformance:\n Mass: 175.11 kg\n Factor of Safety: 1.29\n Max Deflection: 1.30e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.11177744656888, + "fos_buckling": 1.2860788626579076, + "fos_yielding": 4.17812245677008, + "deflection": 0.013040531019985153, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.206)" + }, + "parent_node_id": "node_17", + "improvement_over_parent": null + }, + "node_19": { + "node_id": "node_19", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 203.50 kg\n Factor of Safety: 1.46\n Max Deflection: 1.13e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.50177408893205, + "fos_buckling": 1.4558401223243271, + "fos_yielding": 4.85142366964985, + "deflection": 0.01126825528490691, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.178)" + }, + "parent_node_id": "node_18", + "improvement_over_parent": null + }, + "node_20": { + "node_id": "node_20", + "content": "MODIFICATION: Increase 4 thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.58 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.57941888767778, + "fos_buckling": 1.5296788679512057, + "fos_yielding": 4.83402401973917, + "deflection": 0.011233204661896229, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.280)" + }, + "parent_node_id": "node_19", + "improvement_over_parent": null + }, + "node_21": { + "node_id": "node_21", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_20", + "improvement_over_parent": null + }, + "node_22": { + "node_id": "node_22", + "content": "INITIAL DESIGN (Trace 3)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0034)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n Mass: 166.08 kg\n Factor of Safety: 1.07\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.07592076893673, + "fos_buckling": 1.0710563962651622, + "fos_yielding": 3.040890821798948, + "deflection": 0.013318106005887221, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_23": { + "node_id": "node_23", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0034)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n\nPerformance:\n Mass: 166.67 kg\n Factor of Safety: 1.07\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.67196393379257, + "fos_buckling": 1.0708137165587153, + "fos_yielding": 3.040201817471497, + "deflection": 0.013282147010921792, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001636)" + }, + "parent_node_id": "node_22", + "improvement_over_parent": null + }, + "node_24": { + "node_id": "node_24", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n Mass: 200.27 kg\n Factor of Safety: 1.26\n Max Deflection: 1.11e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.27256069931076, + "fos_buckling": 1.2628358258783454, + "fos_yielding": 3.6650067681855405, + "deflection": 0.011113995640051383, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.221)" + }, + "parent_node_id": "node_23", + "improvement_over_parent": null + }, + "node_25": { + "node_id": "node_25", + "content": "MODIFICATION: Increase 17 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0069)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n Mass: 203.21 kg\n Factor of Safety: 1.26\n Max Deflection: 1.12e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.21400693868694, + "fos_buckling": 1.2624731214941407, + "fos_yielding": 3.6639541261906583, + "deflection": 0.011209857839600516, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.391)" + }, + "parent_node_id": "node_24", + "improvement_over_parent": null + }, + "node_26": { + "node_id": "node_26", + "content": "MODIFICATION: Increase 8 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0069)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n Mass: 204.66 kg\n Factor of Safety: 1.38\n Max Deflection: 1.11e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.6649003987986, + "fos_buckling": 1.3839409595384895, + "fos_yielding": 4.8344720860180175, + "deflection": 0.011103375988602709, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.364)" + }, + "parent_node_id": "node_25", + "improvement_over_parent": null + }, + "node_27": { + "node_id": "node_27", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_26", + "improvement_over_parent": null + }, + "node_28": { + "node_id": "node_28", + "content": "INITIAL DESIGN (Trace 4)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0046)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0024)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n Mass: 141.89 kg\n Factor of Safety: 1.25\n Max Deflection: 1.81e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 141.8850686170504, + "fos_buckling": 1.245482504430622, + "fos_yielding": 1.9721688255087158, + "deflection": 18146286140485.137, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_29": { + "node_id": "node_29", + "content": "MODIFICATION: Increase 2 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0024)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n Mass: 144.10 kg\n Factor of Safety: 0.85\n Max Deflection: 5.43e+12 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 144.10079347870374, + "fos_buckling": 0.850686302642789, + "fos_yielding": 4.378907890853386, + "deflection": 5432038886558.822, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.230)" + }, + "parent_node_id": "node_28", + "improvement_over_parent": null + }, + "node_30": { + "node_id": "node_30", + "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0024)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n\nPerformance:\n Mass: 153.93 kg\n Factor of Safety: 0.95\n Max Deflection: 1.49e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 153.92786730110572, + "fos_buckling": 0.9488989212786276, + "fos_yielding": 4.04552653429877, + "deflection": 0.014943822409410619, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.004605)" + }, + "parent_node_id": "node_29", + "improvement_over_parent": null + }, + "node_31": { + "node_id": "node_31", + "content": "MODIFICATION: Increase 17 thickness by 56%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0024)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0076)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n\nPerformance:\n Mass: 159.39 kg\n Factor of Safety: 0.95\n Max Deflection: 1.48e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.3901878559125, + "fos_buckling": 0.9484680701427863, + "fos_yielding": 4.045526534298771, + "deflection": 0.014792386470702662, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.562)" + }, + "parent_node_id": "node_30", + "improvement_over_parent": null + }, + "node_32": { + "node_id": "node_32", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0099)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 203.30 kg\n Factor of Safety: 1.15\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.29669521575158, + "fos_buckling": 1.1543238163864697, + "fos_yielding": 5.164553226058928, + "deflection": 0.011669074859946529, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.304)" + }, + "parent_node_id": "node_31", + "improvement_over_parent": null + }, + "node_33": { + "node_id": "node_33", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0099)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 208.60 kg\n Factor of Safety: 1.45\n Max Deflection: 1.10e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 208.60474069274608, + "fos_buckling": 1.4459079074143837, + "fos_yielding": 4.841831337148479, + "deflection": 0.011030330341533987, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)" + }, + "parent_node_id": "node_32", + "improvement_over_parent": null + }, + "node_34": { + "node_id": "node_34", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_33", + "improvement_over_parent": null + }, + "node_35": { + "node_id": "node_35", + "content": "INITIAL DESIGN (Trace 5)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0046)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n\nPerformance:\n Mass: 150.40 kg\n Factor of Safety: 0.29\n Max Deflection: 3.69e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 150.39703230310775, + "fos_buckling": 0.28680351027427237, + "fos_yielding": 1.1814177204503062, + "deflection": 0.036906965360538536, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_36": { + "node_id": "node_36", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 184.03 kg\n Factor of Safety: 0.34\n Max Deflection: 3.03e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.034546848992, + "fos_buckling": 0.33788523806516363, + "fos_yielding": 1.4387436819433852, + "deflection": 0.030318527593469927, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.245)" + }, + "parent_node_id": "node_35", + "improvement_over_parent": null + }, + "node_37": { + "node_id": "node_37", + "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n Mass: 187.15 kg\n Factor of Safety: 0.34\n Max Deflection: 2.84e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 187.1499247487124, + "fos_buckling": 0.3377090467286884, + "fos_yielding": 2.0535128629183417, + "deflection": 0.028412920824570507, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)" + }, + "parent_node_id": "node_36", + "improvement_over_parent": null + }, + "node_38": { + "node_id": "node_38", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n Mass: 199.64 kg\n Factor of Safety: 1.53\n Max Deflection: 1.16e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 199.63773182572916, + "fos_buckling": 1.529723823344998, + "fos_yielding": 4.836886400054394, + "deflection": 0.011577145099359837, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.006468)" + }, + "parent_node_id": "node_37", + "improvement_over_parent": null + }, + "node_39": { + "node_id": "node_39", + "content": "MODIFICATION: Increase 2 thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n Mass: 202.81 kg\n Factor of Safety: 1.50\n Max Deflection: 1.12e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.80994405361136, + "fos_buckling": 1.4976843506573714, + "fos_yielding": 4.838433915888934, + "deflection": 0.01117963748162175, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.271)" + }, + "parent_node_id": "node_38", + "improvement_over_parent": null + }, + "node_40": { + "node_id": "node_40", + "content": "MODIFICATION: Increase 18 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0102)]\n M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n Mass: 208.57 kg\n Factor of Safety: 1.51\n Max Deflection: 1.10e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 208.57456120881307, + "fos_buckling": 1.5088142852620123, + "fos_yielding": 4.838053339974564, + "deflection": 0.01096508981135196, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(18, thickness, 1.314)" + }, + "parent_node_id": "node_39", + "improvement_over_parent": null + }, + "node_41": { + "node_id": "node_41", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_40", + "improvement_over_parent": null + }, + "node_42": { + "node_id": "node_42", + "content": "INITIAL DESIGN (Trace 6)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0017)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n Mass: 131.77 kg\n Factor of Safety: 0.34\n Max Deflection: 1.92e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 131.77229368184888, + "fos_buckling": 0.3388841072981261, + "fos_yielding": 2.942628350385846, + "deflection": 0.01920456382117281, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_43": { + "node_id": "node_43", + "content": "MODIFICATION: Increase 16 thickness by 50%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0025)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n Mass: 133.49 kg\n Factor of Safety: 0.34\n Max Deflection: 1.96e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 133.48948520184913, + "fos_buckling": 0.3387382325773467, + "fos_yielding": 2.942379436962199, + "deflection": 0.019640154662760395, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.504)" + }, + "parent_node_id": "node_42", + "improvement_over_parent": null + }, + "node_44": { + "node_id": "node_44", + "content": "MODIFICATION: Increase 16 thickness by 58%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0040)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n Mass: 136.34 kg\n Factor of Safety: 0.34\n Max Deflection: 2.01e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 136.34150676445722, + "fos_buckling": 0.3384962318097211, + "fos_yielding": 2.9419661186570614, + "deflection": 0.020057699557287728, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.577)" + }, + "parent_node_id": "node_43", + "improvement_over_parent": null + }, + "node_45": { + "node_id": "node_45", + "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0040)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n\nPerformance:\n Mass: 145.24 kg\n Factor of Safety: 1.15\n Max Deflection: 1.57e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 145.23924071873762, + "fos_buckling": 1.1478487127078512, + "fos_yielding": 3.437243491225555, + "deflection": 0.01568652126183398, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.004141)" + }, + "parent_node_id": "node_44", + "improvement_over_parent": null + }, + "node_46": { + "node_id": "node_46", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n\nPerformance:\n Mass: 168.17 kg\n Factor of Safety: 1.30\n Max Deflection: 1.36e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 168.16730166505613, + "fos_buckling": 1.3012897240480645, + "fos_yielding": 3.9774148722402383, + "deflection": 0.013593354329324306, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.170)" + }, + "parent_node_id": "node_45", + "improvement_over_parent": null + }, + "node_47": { + "node_id": "node_47", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 204.77 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.76707135396626, + "fos_buckling": 1.530779734903408, + "fos_yielding": 4.838309052613844, + "deflection": 0.011223406585676004, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.239)" + }, + "parent_node_id": "node_46", + "improvement_over_parent": null + }, + "node_48": { + "node_id": "node_48", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_47", + "improvement_over_parent": null + }, + "node_49": { + "node_id": "node_49", + "content": "INITIAL DESIGN (Trace 7)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (17 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M11: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 168.66 kg\n Factor of Safety: 0.13\n Max Deflection: 8.25e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 168.6638726016649, + "fos_buckling": 0.12577565793771345, + "fos_yielding": 1.9721688255087158, + "deflection": 8253371367275.407, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_50": { + "node_id": "node_50", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M11: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M17: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n\nPerformance:\n Mass: 172.89 kg\n Factor of Safety: 0.09\n Max Deflection: 6.53e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.89381350552674, + "fos_buckling": 0.08736763450464619, + "fos_yielding": 1.3699290304156546, + "deflection": 0.06532463064542311, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003295)" + }, + "parent_node_id": "node_49", + "improvement_over_parent": null + }, + "node_51": { + "node_id": "node_51", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M11: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M17: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M18: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n Mass: 173.61 kg\n Factor of Safety: 0.26\n Max Deflection: 3.88e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.6099453320004, + "fos_buckling": 0.25970511092745907, + "fos_yielding": 1.3120934643971913, + "deflection": 0.03883018245163229, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)" + }, + "parent_node_id": "node_50", + "improvement_over_parent": null + }, + "node_52": { + "node_id": "node_52", + "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M11: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M17: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M18: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 186.15 kg\n Factor of Safety: 0.27\n Max Deflection: 3.47e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 186.1489376719697, + "fos_buckling": 0.27268788223645457, + "fos_yielding": 1.3925156898828606, + "deflection": 0.03474757617397744, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)" + }, + "parent_node_id": "node_51", + "improvement_over_parent": null + }, + "node_53": { + "node_id": "node_53", + "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M11: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M17: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M18: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 201.33 kg\n Factor of Safety: 1.37\n Max Deflection: 1.11e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.3334916868711, + "fos_buckling": 1.37160496307102, + "fos_yielding": 4.853242022020011, + "deflection": 0.011113727552261313, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)" + }, + "parent_node_id": "node_52", + "improvement_over_parent": null + }, + "node_54": { + "node_id": "node_54", + "content": "MODIFICATION: Increase 17 thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M11: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M17: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M18: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 202.40 kg\n Factor of Safety: 1.37\n Max Deflection: 1.11e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.39719678489672, + "fos_buckling": 1.3729625389793045, + "fos_yielding": 4.835998285470239, + "deflection": 0.011079147665259846, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.276)" + }, + "parent_node_id": "node_53", + "improvement_over_parent": null + }, + "node_55": { + "node_id": "node_55", + "content": "MODIFICATION: Increase 4 thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0083)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M11: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M17: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M18: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 205.49 kg\n Factor of Safety: 1.36\n Max Deflection: 1.07e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.48690513821398, + "fos_buckling": 1.3551494417587875, + "fos_yielding": 4.8407223196716584, + "deflection": 0.010724848476792913, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.280)" + }, + "parent_node_id": "node_54", + "improvement_over_parent": null + }, + "node_56": { + "node_id": "node_56", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_55", + "improvement_over_parent": null + }, + "node_57": { + "node_id": "node_57", + "content": "INITIAL DESIGN (Trace 8)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0027)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n Mass: 148.73 kg\n Factor of Safety: 0.82\n Max Deflection: 1.41e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 148.72517990627827, + "fos_buckling": 0.815050652597831, + "fos_yielding": 3.749875794203257, + "deflection": 0.014106658803413224, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_58": { + "node_id": "node_58", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0031)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n\nPerformance:\n Mass: 169.06 kg\n Factor of Safety: 0.91\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.05894600781463, + "fos_buckling": 0.9105688328632411, + "fos_yielding": 4.259676502168224, + "deflection": 0.012446586350567359, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.148)" + }, + "parent_node_id": "node_57", + "improvement_over_parent": null + }, + "node_59": { + "node_id": "node_59", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 192.33 kg\n Factor of Safety: 1.02\n Max Deflection: 1.10e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.32527369383595, + "fos_buckling": 1.0151174787204764, + "fos_yielding": 4.842122838796074, + "deflection": 0.01097767465951497, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.151)" + }, + "parent_node_id": "node_58", + "improvement_over_parent": null + }, + "node_60": { + "node_id": "node_60", + "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n Mass: 200.94 kg\n Factor of Safety: 1.44\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.93576272690984, + "fos_buckling": 1.4400222980526387, + "fos_yielding": 4.830123994587184, + "deflection": 0.011484619613529784, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)" + }, + "parent_node_id": "node_59", + "improvement_over_parent": null + }, + "node_61": { + "node_id": "node_61", + "content": "MODIFICATION: Increase 16 thickness by 59%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n Mass: 204.79 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.78976440175637, + "fos_buckling": 1.5309884860090959, + "fos_yielding": 4.8390905831747455, + "deflection": 0.011221699212066076, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.590)" + }, + "parent_node_id": "node_60", + "improvement_over_parent": null + }, + "node_62": { + "node_id": "node_62", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_61", + "improvement_over_parent": null + }, + "node_63": { + "node_id": "node_63", + "content": "INITIAL DESIGN (Trace 9)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n Mass: 122.13 kg\n Factor of Safety: 0.51\n Max Deflection: 1.91e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 122.12585061093037, + "fos_buckling": 0.514199536556348, + "fos_yielding": 3.3938387209064587, + "deflection": 0.01910915566385084, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_64": { + "node_id": "node_64", + "content": "MODIFICATION: Increase 4 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n Mass: 122.79 kg\n Factor of Safety: 0.51\n Max Deflection: 1.91e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 122.78922234824537, + "fos_buckling": 0.5142286078750589, + "fos_yielding": 3.3814132635674214, + "deflection": 0.01907477724958384, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.227)" + }, + "parent_node_id": "node_63", + "improvement_over_parent": null + }, + "node_65": { + "node_id": "node_65", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n\nPerformance:\n Mass: 130.62 kg\n Factor of Safety: 0.18\n Max Deflection: 1.82e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 130.61641383683212, + "fos_buckling": 0.18385292466423397, + "fos_yielding": 3.42773654426053, + "deflection": 0.0182265599405449, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.003887)" + }, + "parent_node_id": "node_64", + "improvement_over_parent": null + }, + "node_66": { + "node_id": "node_66", + "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0040)]\n\nPerformance:\n Mass: 138.74 kg\n Factor of Safety: 0.82\n Max Deflection: 1.73e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 138.73625368655263, + "fos_buckling": 0.8215283679434034, + "fos_yielding": 3.44133502264319, + "deflection": 0.017288398496605937, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.003959)" + }, + "parent_node_id": "node_65", + "improvement_over_parent": null + }, + "node_67": { + "node_id": "node_67", + "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0040)]\n M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n\nPerformance:\n Mass: 145.46 kg\n Factor of Safety: 1.15\n Max Deflection: 1.57e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 145.46140528674243, + "fos_buckling": 1.149373329695209, + "fos_yielding": 3.4424406350221286, + "deflection": 0.015662919998571122, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.003892)" + }, + "parent_node_id": "node_66", + "improvement_over_parent": null + }, + "node_68": { + "node_id": "node_68", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n\nPerformance:\n Mass: 162.26 kg\n Factor of Safety: 1.26\n Max Deflection: 1.41e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.25946980076256, + "fos_buckling": 1.2624701208680034, + "fos_yielding": 3.83824882575484, + "deflection": 0.014075985584704995, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.124)" + }, + "parent_node_id": "node_67", + "improvement_over_parent": null + }, + "node_69": { + "node_id": "node_69", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n Mass: 204.97 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.96819162016513, + "fos_buckling": 1.5319911748126622, + "fos_yielding": 4.84297943206255, + "deflection": 0.011212614594397352, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.289)" + }, + "parent_node_id": "node_68", + "improvement_over_parent": null + }, + "node_70": { + "node_id": "node_70", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_69", + "improvement_over_parent": null + }, + "node_71": { + "node_id": "node_71", + "content": "INITIAL DESIGN (Trace 10)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n Mass: 168.12 kg\n Factor of Safety: 0.31\n Max Deflection: 3.18e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 168.11830416108864, + "fos_buckling": 0.30778787787272704, + "fos_yielding": 1.8572194281139953, + "deflection": 0.03182690858928223, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_72": { + "node_id": "node_72", + "content": "MODIFICATION: Increase 13 thickness by 55%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n Mass: 170.45 kg\n Factor of Safety: 0.31\n Max Deflection: 3.16e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.451019929738, + "fos_buckling": 0.3077276683473678, + "fos_yielding": 1.8566861354780146, + "deflection": 0.03158497531697505, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.548)" + }, + "parent_node_id": "node_71", + "improvement_over_parent": null + }, + "node_73": { + "node_id": "node_73", + "content": "MODIFICATION: Increase 4 thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n Mass: 171.48 kg\n Factor of Safety: 0.31\n Max Deflection: 3.15e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.4770944887783, + "fos_buckling": 0.3077011918844714, + "fos_yielding": 1.8564516569345877, + "deflection": 0.03145704661018402, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.300)" + }, + "parent_node_id": "node_72", + "improvement_over_parent": null + }, + "node_74": { + "node_id": "node_74", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 192.23 kg\n Factor of Safety: 0.34\n Max Deflection: 2.82e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.2318844407633, + "fos_buckling": 0.337271911053486, + "fos_yielding": 2.0740835740770613, + "deflection": 0.028153452440889612, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.133)" + }, + "parent_node_id": "node_73", + "improvement_over_parent": null + }, + "node_75": { + "node_id": "node_75", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n Mass: 204.72 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.71969151778006, + "fos_buckling": 1.5304813608382564, + "fos_yielding": 4.8370652013392705, + "deflection": 0.011226030108890108, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.006468)" + }, + "parent_node_id": "node_74", + "improvement_over_parent": null + }, + "node_76": { + "node_id": "node_76", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_75", + "improvement_over_parent": null + }, + "node_77": { + "node_id": "node_77", + "content": "INITIAL DESIGN (Trace 11)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 193.90 kg\n Factor of Safety: 0.89\n Max Deflection: 1.29e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.90415332103134, + "fos_buckling": 0.8934217915324071, + "fos_yielding": 5.161214493962768, + "deflection": 0.01289215309881467, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_78": { + "node_id": "node_78", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 199.21 kg\n Factor of Safety: 0.90\n Max Deflection: 1.25e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.21219879802584, + "fos_buckling": 0.899508016848503, + "fos_yielding": 4.809509305659417, + "deflection": 0.012485569409543833, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)" + }, + "parent_node_id": "node_77", + "improvement_over_parent": null + }, + "node_79": { + "node_id": "node_79", + "content": "MODIFICATION: Increase 0 thickness by 42%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 201.59 kg\n Factor of Safety: 0.90\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.5870821952617, + "fos_buckling": 0.8988036531001197, + "fos_yielding": 4.853163199013711, + "deflection": 0.012402998977546183, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.422)" + }, + "parent_node_id": "node_78", + "improvement_over_parent": null + }, + "node_80": { + "node_id": "node_80", + "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70246009498211, + "fos_buckling": 1.5304009577995152, + "fos_yielding": 4.836804238055303, + "deflection": 0.011226731233491083, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)" + }, + "parent_node_id": "node_79", + "improvement_over_parent": null + }, + "node_81": { + "node_id": "node_81", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_80", + "improvement_over_parent": null + }, + "node_82": { + "node_id": "node_82", + "content": "INITIAL DESIGN (Trace 12)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0029)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0040)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0038)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0035)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0031)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0023)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0029)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0033)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0026)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0029)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0031)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0031)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0027)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0028)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0042)]\n\nPerformance:\n Mass: 106.70 kg\n Factor of Safety: 0.68\n Max Deflection: 2.27e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 106.7039080762885, + "fos_buckling": 0.6758748449357712, + "fos_yielding": 2.9397313330754127, + "deflection": 0.02266303655367793, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_83": { + "node_id": "node_83", + "content": "MODIFICATION: Increase 17 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0029)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0040)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0038)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0035)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0031)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0023)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0029)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0033)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0026)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0029)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0031)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0031)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0027)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0042)]\n\nPerformance:\n Mass: 108.12 kg\n Factor of Safety: 0.68\n Max Deflection: 2.27e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 108.12390498028945, + "fos_buckling": 0.6757929637617295, + "fos_yielding": 2.9397313330754127, + "deflection": 0.02266595078539429, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.230)" + }, + "parent_node_id": "node_82", + "improvement_over_parent": null + }, + "node_84": { + "node_id": "node_84", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0045)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0042)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0039)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0035)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0037)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0029)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0032)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0035)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0047)]\n\nPerformance:\n Mass: 120.00 kg\n Factor of Safety: 0.74\n Max Deflection: 2.05e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 119.99807218464208, + "fos_buckling": 0.7413836155335318, + "fos_yielding": 3.262344885250181, + "deflection": 0.020462436859310602, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.116)" + }, + "parent_node_id": "node_83", + "improvement_over_parent": null + }, + "node_85": { + "node_id": "node_85", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n Mass: 133.98 kg\n Factor of Safety: 0.82\n Max Deflection: 1.84e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 133.9818405301874, + "fos_buckling": 0.8164644271637046, + "fos_yielding": 3.642217180507546, + "deflection": 0.018368263583148216, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.124)" + }, + "parent_node_id": "node_84", + "improvement_over_parent": null + }, + "node_86": { + "node_id": "node_86", + "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n\nPerformance:\n Mass: 140.66 kg\n Factor of Safety: 0.87\n Max Deflection: 1.67e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 140.66154569454147, + "fos_buckling": 0.868278184260998, + "fos_yielding": 3.6422171805075463, + "deflection": 0.016668944148933464, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.003864)" + }, + "parent_node_id": "node_85", + "improvement_over_parent": null + }, + "node_87": { + "node_id": "node_87", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n\nPerformance:\n Mass: 170.60 kg\n Factor of Safety: 1.02\n Max Deflection: 1.38e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.6014410551175, + "fos_buckling": 1.0191323707084778, + "fos_yielding": 4.41672656489952, + "deflection": 0.013808449576147559, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.230)" + }, + "parent_node_id": "node_86", + "improvement_over_parent": null + }, + "node_88": { + "node_id": "node_88", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n\nPerformance:\n Mass: 175.15 kg\n Factor of Safety: 1.35\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.1459739218644, + "fos_buckling": 1.3464971578885017, + "fos_yielding": 4.1416708173649015, + "deflection": 0.013064881287038033, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003560)" + }, + "parent_node_id": "node_87", + "improvement_over_parent": null + }, + "node_89": { + "node_id": "node_89", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 204.64 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.6445051869896, + "fos_buckling": 1.5300281247408878, + "fos_yielding": 4.835398864358549, + "deflection": 0.01122979486900723, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.185)" + }, + "parent_node_id": "node_88", + "improvement_over_parent": null + }, + "node_90": { + "node_id": "node_90", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_89", + "improvement_over_parent": null + }, + "node_91": { + "node_id": "node_91", + "content": "INITIAL DESIGN (Trace 13)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n Mass: 147.13 kg\n Factor of Safety: 0.82\n Max Deflection: 1.44e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 147.13186545168568, + "fos_buckling": 0.8221032024275057, + "fos_yielding": 4.03425774354345, + "deflection": 0.01440715629998116, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_92": { + "node_id": "node_92", + "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n\nPerformance:\n Mass: 153.86 kg\n Factor of Safety: 0.95\n Max Deflection: 1.51e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 153.86029436452048, + "fos_buckling": 0.9464004402897241, + "fos_yielding": 4.03425774354345, + "deflection": 0.015082456503193524, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.003804)" + }, + "parent_node_id": "node_91", + "improvement_over_parent": null + }, + "node_93": { + "node_id": "node_93", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n\nPerformance:\n Mass: 159.94 kg\n Factor of Safety: 1.25\n Max Deflection: 1.43e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.94019928842857, + "fos_buckling": 1.2471015024140115, + "fos_yielding": 3.7836883257282667, + "deflection": 0.014275257410483818, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003616)" + }, + "parent_node_id": "node_92", + "improvement_over_parent": null + }, + "node_94": { + "node_id": "node_94", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n Mass: 204.67 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.6720893772657, + "fos_buckling": 1.5302194582541555, + "fos_yielding": 4.836105449960457, + "deflection": 0.011228355174082156, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.307)" + }, + "parent_node_id": "node_93", + "improvement_over_parent": null + }, + "node_95": { + "node_id": "node_95", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_94", + "improvement_over_parent": null + }, + "node_96": { + "node_id": "node_96", + "content": "INITIAL DESIGN (Trace 14)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0027)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0032)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0037)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0035)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0021)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0033)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0028)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0029)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0021)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0027)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0030)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0024)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0026)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0028)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0029)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0025)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0039)]\n\nPerformance:\n Mass: 92.35 kg\n Factor of Safety: 0.16\n Max Deflection: 6.74e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 92.34712320608118, + "fos_buckling": 0.16003451551429648, + "fos_yielding": 0.739259845028638, + "deflection": 0.06738029787261346, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_97": { + "node_id": "node_97", + "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0027)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0032)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0037)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0035)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0021)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0033)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0028)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0029)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0021)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0027)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0030)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0024)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0026)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0028)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0029)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0025)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0039)]\n M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0027)]\n\nPerformance:\n Mass: 98.38 kg\n Factor of Safety: 0.63\n Max Deflection: 2.46e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 98.37681594988149, + "fos_buckling": 0.6294030478695033, + "fos_yielding": 2.5504483651736267, + "deflection": 0.024556533542835903, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.002680)" + }, + "parent_node_id": "node_96", + "improvement_over_parent": null + }, + "node_98": { + "node_id": "node_98", + "content": "MODIFICATION: Increase 6 thickness by 34%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0027)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0032)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0037)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0035)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0021)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0033)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0029)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0021)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0027)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0030)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0024)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0026)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0028)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0029)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0025)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0039)]\n M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0027)]\n\nPerformance:\n Mass: 99.96 kg\n Factor of Safety: 0.63\n Max Deflection: 2.46e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 99.96487456876851, + "fos_buckling": 0.6293176874372766, + "fos_yielding": 2.5504189383206617, + "deflection": 0.024559774808821606, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.339)" + }, + "parent_node_id": "node_97", + "improvement_over_parent": null + }, + "node_99": { + "node_id": "node_99", + "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0027)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0032)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0037)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0035)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0021)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0033)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0029)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0021)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0027)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0030)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0024)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0026)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0028)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0029)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0025)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0039)]\n M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0027)]\n M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0032)]\n\nPerformance:\n Mass: 107.26 kg\n Factor of Safety: 0.73\n Max Deflection: 2.22e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 107.264664908372, + "fos_buckling": 0.7299816508596529, + "fos_yielding": 2.5512549693461457, + "deflection": 0.022198902500401425, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.003176)" + }, + "parent_node_id": "node_98", + "improvement_over_parent": null + }, + "node_100": { + "node_id": "node_100", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0046)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0043)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0033)]\n M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n\nPerformance:\n Mass: 132.30 kg\n Factor of Safety: 0.89\n Max Deflection: 1.81e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 132.3028290980822, + "fos_buckling": 0.8861226457945717, + "fos_yielding": 3.1449160783106267, + "deflection": 0.018051120125389, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.247)" + }, + "parent_node_id": "node_99", + "improvement_over_parent": null + }, + "node_101": { + "node_id": "node_101", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0062)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n\nPerformance:\n Mass: 169.73 kg\n Factor of Safety: 1.11\n Max Deflection: 1.41e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.72899688755203, + "fos_buckling": 1.1095263906993482, + "fos_yielding": 4.031015262303372, + "deflection": 0.0141321121860775, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.305)" + }, + "parent_node_id": "node_100", + "improvement_over_parent": null + }, + "node_102": { + "node_id": "node_102", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0075)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n Mass: 203.71 kg\n Factor of Safety: 1.30\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.70893376668818, + "fos_buckling": 1.3020178757574699, + "fos_yielding": 4.834210243479401, + "deflection": 0.011820455107952023, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.220)" + }, + "parent_node_id": "node_101", + "improvement_over_parent": null + }, + "node_103": { + "node_id": "node_103", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_102", + "improvement_over_parent": null + }, + "node_104": { + "node_id": "node_104", + "content": "INITIAL DESIGN (Trace 15)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0026)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0024)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0035)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0033)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0020)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0031)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0034)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0027)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0027)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0012)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0026)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0029)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0023)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0025)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0027)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0024)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0030)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0037)]\n\nPerformance:\n Mass: 94.41 kg\n Factor of Safety: 0.12\n Max Deflection: 3.60e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 94.40741939419954, + "fos_buckling": 0.12345136183486617, + "fos_yielding": 2.4043973721250937, + "deflection": 0.035981491880811456, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_105": { + "node_id": "node_105", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0030)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0044)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0042)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0039)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0034)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0036)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0029)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0032)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0047)]\n\nPerformance:\n Mass: 117.50 kg\n Factor of Safety: 0.15\n Max Deflection: 2.89e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 117.5015738436525, + "fos_buckling": 0.15070233626248045, + "fos_yielding": 2.9907812349933747, + "deflection": 0.02893893908403097, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.258)" + }, + "parent_node_id": "node_104", + "improvement_over_parent": null + }, + "node_106": { + "node_id": "node_106", + "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0030)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0044)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0042)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0039)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0034)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0036)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0029)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0032)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0047)]\n M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0035)]\n\nPerformance:\n Mass: 124.65 kg\n Factor of Safety: 0.60\n Max Deflection: 1.99e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 124.65068220702086, + "fos_buckling": 0.5952030266036649, + "fos_yielding": 3.0454752520965047, + "deflection": 0.019913022089742247, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.003459)" + }, + "parent_node_id": "node_105", + "improvement_over_parent": null + }, + "node_107": { + "node_id": "node_107", + "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0034)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0049)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0046)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0040)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0052)]\n M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n\nPerformance:\n Mass: 138.03 kg\n Factor of Safety: 0.65\n Max Deflection: 1.80e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 138.03068956994548, + "fos_buckling": 0.651956336354112, + "fos_yielding": 3.370933815349908, + "deflection": 0.01800375728090585, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.114)" + }, + "parent_node_id": "node_106", + "improvement_over_parent": null + }, + "node_108": { + "node_id": "node_108", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0054)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n\nPerformance:\n Mass: 179.52 kg\n Factor of Safety: 0.82\n Max Deflection: 1.39e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.5219128228272, + "fos_buckling": 0.8190970219699696, + "fos_yielding": 4.378355091672003, + "deflection": 0.01389277524620021, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.326)" + }, + "parent_node_id": "node_107", + "improvement_over_parent": null + }, + "node_109": { + "node_id": "node_109", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n Mass: 199.31 kg\n Factor of Safety: 0.89\n Max Deflection: 1.25e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.3093108700993, + "fos_buckling": 0.8940818716210993, + "fos_yielding": 4.8578176239915445, + "deflection": 0.012534994594431309, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.121)" + }, + "parent_node_id": "node_108", + "improvement_over_parent": null + }, + "node_110": { + "node_id": "node_110", + "content": "MODIFICATION: Increase 1 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n Mass: 201.55 kg\n Factor of Safety: 0.90\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.55301288975264, + "fos_buckling": 0.8987399122684834, + "fos_yielding": 4.852350839058308, + "deflection": 0.012404981563579243, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.255)" + }, + "parent_node_id": "node_109", + "improvement_over_parent": null + }, + "node_111": { + "node_id": "node_111", + "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n Mass: 204.67 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.66839078947305, + "fos_buckling": 1.53021036778647, + "fos_yielding": 4.83599478429626, + "deflection": 0.011228733556849377, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)" + }, + "parent_node_id": "node_110", + "improvement_over_parent": null + }, + "node_112": { + "node_id": "node_112", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_111", + "improvement_over_parent": null + }, + "node_113": { + "node_id": "node_113", + "content": "INITIAL DESIGN (Trace 16)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0027)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0032)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0037)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0035)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0021)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0036)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0028)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0029)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0021)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0022)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0030)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0020)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0026)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0028)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0029)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0025)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0026)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0039)]\n\nPerformance:\n Mass: 98.36 kg\n Factor of Safety: 0.19\n Max Deflection: 5.33e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 98.36210233364748, + "fos_buckling": 0.1947997111752461, + "fos_yielding": 1.1086584302631943, + "deflection": 0.05328613168528504, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_114": { + "node_id": "node_114", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0045)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0042)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0035)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0027)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0037)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0024)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0032)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0035)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0032)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0048)]\n\nPerformance:\n Mass: 119.24 kg\n Factor of Safety: 0.23\n Max Deflection: 4.41e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 119.24441427939844, + "fos_buckling": 0.23097916004625127, + "fos_yielding": 1.338966449249589, + "deflection": 0.04411063533552272, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.224)" + }, + "parent_node_id": "node_113", + "improvement_over_parent": null + }, + "node_115": { + "node_id": "node_115", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n Mass: 155.07 kg\n Factor of Safety: 0.29\n Max Deflection: 3.41e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 155.07318952973048, + "fos_buckling": 0.28893970817378745, + "fos_yielding": 1.730056637352894, + "deflection": 0.03412554308309979, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.323)" + }, + "parent_node_id": "node_114", + "improvement_over_parent": null + }, + "node_116": { + "node_id": "node_116", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n\nPerformance:\n Mass: 165.38 kg\n Factor of Safety: 1.20\n Max Deflection: 1.37e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.38474204303043, + "fos_buckling": 1.1973777183804768, + "fos_yielding": 3.8601035210030914, + "deflection": 0.013696727669840104, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.005251)" + }, + "parent_node_id": "node_115", + "improvement_over_parent": null + }, + "node_117": { + "node_id": "node_117", + "content": "MODIFICATION: Increase 19 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n\nPerformance:\n Mass: 168.99 kg\n Factor of Safety: 1.22\n Max Deflection: 1.35e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 168.99258948904793, + "fos_buckling": 1.2233260403629214, + "fos_yielding": 3.943755661435462, + "deflection": 0.013474266485462082, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(19, thickness, 1.230)" + }, + "parent_node_id": "node_116", + "improvement_over_parent": null + }, + "node_118": { + "node_id": "node_118", + "content": "MODIFICATION: Increase 12 thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n\nPerformance:\n Mass: 171.22 kg\n Factor of Safety: 1.22\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.2181738037824, + "fos_buckling": 1.2232734784683268, + "fos_yielding": 3.9435862125211547, + "deflection": 0.013345615003321064, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.236)" + }, + "parent_node_id": "node_117", + "improvement_over_parent": null + }, + "node_119": { + "node_id": "node_119", + "content": "MODIFICATION: Increase 14 thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0050)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n\nPerformance:\n Mass: 172.57 kg\n Factor of Safety: 1.22\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.5687702641397, + "fos_buckling": 1.2233570882426865, + "fos_yielding": 3.9438557535184873, + "deflection": 0.013316204634008401, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.188)" + }, + "parent_node_id": "node_118", + "improvement_over_parent": null + }, + "node_120": { + "node_id": "node_120", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0074)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0062)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0095)]\n M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n Mass: 208.88 kg\n Factor of Safety: 1.45\n Max Deflection: 1.11e-02 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 208.88097064392215, + "fos_buckling": 1.446533380600256, + "fos_yielding": 4.782362138615029, + "deflection": 0.011056937275382393, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.232)" + }, + "parent_node_id": "node_119", + "improvement_over_parent": null + }, + "node_121": { + "node_id": "node_121", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_120", + "improvement_over_parent": null + }, + "node_122": { + "node_id": "node_122", + "content": "INITIAL DESIGN (Trace 17)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0023)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0046)]\n\nPerformance:\n Mass: 157.96 kg\n Factor of Safety: 0.84\n Max Deflection: 1.45e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.95815373383294, + "fos_buckling": 0.8365684080868262, + "fos_yielding": 3.920233028521021, + "deflection": 0.014457602126130493, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_123": { + "node_id": "node_123", + "content": "MODIFICATION: Increase 7 thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0029)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0046)]\n\nPerformance:\n Mass: 159.06 kg\n Factor of Safety: 0.97\n Max Deflection: 1.43e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.0629456884539, + "fos_buckling": 0.9685147270296396, + "fos_yielding": 3.920312523083499, + "deflection": 0.014330469689535181, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.287)" + }, + "parent_node_id": "node_122", + "improvement_over_parent": null + }, + "node_124": { + "node_id": "node_124", + "content": "MODIFICATION: Increase 7 thickness by 53%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0046)]\n\nPerformance:\n Mass: 161.59 kg\n Factor of Safety: 1.07\n Max Deflection: 1.41e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 161.5912318171076, + "fos_buckling": 1.06663973023901, + "fos_yielding": 3.9203999582557265, + "deflection": 0.014148904127176853, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.529)" + }, + "parent_node_id": "node_123", + "improvement_over_parent": null + }, + "node_125": { + "node_id": "node_125", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0057)]\n\nPerformance:\n Mass: 199.64 kg\n Factor of Safety: 1.29\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.6414881827243, + "fos_buckling": 1.2858254573262986, + "fos_yielding": 4.83658566742106, + "deflection": 0.011514657196057175, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.258)" + }, + "parent_node_id": "node_124", + "improvement_over_parent": null + }, + "node_126": { + "node_id": "node_126", + "content": "MODIFICATION: Increase 20 thickness by 35%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.68 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.6838081694432, + "fos_buckling": 1.5306642883412227, + "fos_yielding": 4.836149791745237, + "deflection": 0.011227807430644571, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(20, thickness, 1.350)" + }, + "parent_node_id": "node_125", + "improvement_over_parent": null + }, + "node_127": { + "node_id": "node_127", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_126", + "improvement_over_parent": null + }, + "node_128": { + "node_id": "node_128", + "content": "INITIAL DESIGN (Trace 18)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n Mass: 138.53 kg\n Factor of Safety: 0.28\n Max Deflection: 3.70e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 138.52588633020642, + "fos_buckling": 0.2768115721559482, + "fos_yielding": 1.7023864332547693, + "deflection": 0.03695862865320659, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_129": { + "node_id": "node_129", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 176.67 kg\n Factor of Safety: 0.34\n Max Deflection: 2.92e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.66811341415286, + "fos_buckling": 0.33766661669884457, + "fos_yielding": 2.1563421881721196, + "deflection": 0.029165454895175035, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.302)" + }, + "parent_node_id": "node_128", + "improvement_over_parent": null + }, + "node_130": { + "node_id": "node_130", + "content": "MODIFICATION: Increase 0 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 178.31 kg\n Factor of Safety: 0.34\n Max Deflection: 2.91e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.30922057133094, + "fos_buckling": 0.3376202450292788, + "fos_yielding": 2.1558955392219357, + "deflection": 0.02912575011483479, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.261)" + }, + "parent_node_id": "node_129", + "improvement_over_parent": null + }, + "node_131": { + "node_id": "node_131", + "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n Mass: 192.19 kg\n Factor of Safety: 0.34\n Max Deflection: 2.82e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.19412744695254, + "fos_buckling": 0.33722841762902733, + "fos_yielding": 2.0737535362559028, + "deflection": 0.02815832747307795, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)" + }, + "parent_node_id": "node_130", + "improvement_over_parent": null + }, + "node_132": { + "node_id": "node_132", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n Mass: 204.68 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.6819345239693, + "fos_buckling": 1.5303003996998772, + "fos_yielding": 4.836310844594649, + "deflection": 0.011227747626044803, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.006468)" + }, + "parent_node_id": "node_131", + "improvement_over_parent": null + }, + "node_133": { + "node_id": "node_133", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_132", + "improvement_over_parent": null + }, + "node_134": { + "node_id": "node_134", + "content": "INITIAL DESIGN (Trace 19)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0040)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n\nPerformance:\n Mass: 151.25 kg\n Factor of Safety: 0.29\n Max Deflection: 3.69e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 151.2527560905608, + "fos_buckling": 0.2948564907133672, + "fos_yielding": 1.713762974331325, + "deflection": 0.036933691552324344, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_135": { + "node_id": "node_135", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0040)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n\nPerformance:\n Mass: 161.81 kg\n Factor of Safety: 1.10\n Max Deflection: 1.44e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 161.80968111122237, + "fos_buckling": 1.0979585686507631, + "fos_yielding": 4.045387997366966, + "deflection": 0.014446040335857621, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.005386)" + }, + "parent_node_id": "node_134", + "improvement_over_parent": null + }, + "node_136": { + "node_id": "node_136", + "content": "MODIFICATION: Increase 13 thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0040)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0049)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n\nPerformance:\n Mass: 163.27 kg\n Factor of Safety: 1.10\n Max Deflection: 1.44e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.26584387761025, + "fos_buckling": 1.0975028041799944, + "fos_yielding": 4.029796771541425, + "deflection": 0.014391370972048602, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.244)" + }, + "parent_node_id": "node_135", + "improvement_over_parent": null + }, + "node_137": { + "node_id": "node_137", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0059)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n Mass: 193.13 kg\n Factor of Safety: 1.28\n Max Deflection: 1.22e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.12871167280028, + "fos_buckling": 1.2794822192694135, + "fos_yielding": 4.760525505786062, + "deflection": 0.012212109860647608, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.200)" + }, + "parent_node_id": "node_136", + "improvement_over_parent": null + }, + "node_138": { + "node_id": "node_138", + "content": "MODIFICATION: Increase 0 thickness by 37%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0059)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n Mass: 195.28 kg\n Factor of Safety: 1.28\n Max Deflection: 1.21e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.28287437496152, + "fos_buckling": 1.2806211161524965, + "fos_yielding": 4.796086484706559, + "deflection": 0.012083426109516215, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.370)" + }, + "parent_node_id": "node_137", + "improvement_over_parent": null + }, + "node_139": { + "node_id": "node_139", + "content": "MODIFICATION: Increase 11 thickness by 42%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0076)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0059)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n Mass: 197.18 kg\n Factor of Safety: 1.23\n Max Deflection: 1.20e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.18453053187008, + "fos_buckling": 1.2349934709208297, + "fos_yielding": 4.796215848911179, + "deflection": 0.01200767950232191, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.422)" + }, + "parent_node_id": "node_138", + "improvement_over_parent": null + }, + "node_140": { + "node_id": "node_140", + "content": "MODIFICATION: Increase 1 thickness by 49%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0076)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0059)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n Mass: 200.85 kg\n Factor of Safety: 1.22\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.84772026011518, + "fos_buckling": 1.2205386592420109, + "fos_yielding": 4.785248199567702, + "deflection": 0.011484490504066983, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.488)" + }, + "parent_node_id": "node_139", + "improvement_over_parent": null + }, + "node_141": { + "node_id": "node_141", + "content": "MODIFICATION: Increase 20 thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0076)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0059)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0082)]\n\nPerformance:\n Mass: 203.87 kg\n Factor of Safety: 1.23\n Max Deflection: 1.11e-02 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.87136843297205, + "fos_buckling": 1.2278807905055624, + "fos_yielding": 4.789840717025771, + "deflection": 0.011136995209586482, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(20, thickness, 1.274)" + }, + "parent_node_id": "node_140", + "improvement_over_parent": null + }, + "node_142": { + "node_id": "node_142", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_141", + "improvement_over_parent": null + }, + "node_143": { + "node_id": "node_143", + "content": "INITIAL DESIGN (Trace 20)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 172.89 kg\n Factor of Safety: 0.02\n Max Deflection: 5.81e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.8860452230782, + "fos_buckling": 0.019985268808517514, + "fos_yielding": 0.49304220637717894, + "deflection": 58051895035920.27, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_144": { + "node_id": "node_144", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n\nPerformance:\n Mass: 183.90 kg\n Factor of Safety: 0.36\n Max Deflection: 1.41e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.9017020989652, + "fos_buckling": 0.3553600798017794, + "fos_yielding": 4.869961284400015, + "deflection": 0.014135057057630601, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.005624)" + }, + "parent_node_id": "node_143", + "improvement_over_parent": null + }, + "node_145": { + "node_id": "node_145", + "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n Mass: 193.37 kg\n Factor of Safety: 0.43\n Max Deflection: 1.28e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.36601666102, + "fos_buckling": 0.4257171426971439, + "fos_yielding": 4.869655447464969, + "deflection": 0.012797790870092201, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)" + }, + "parent_node_id": "node_144", + "improvement_over_parent": null + }, + "node_146": { + "node_id": "node_146", + "content": "MODIFICATION: Increase 0 thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n Mass: 195.19 kg\n Factor of Safety: 0.43\n Max Deflection: 1.27e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.18629339340268, + "fos_buckling": 0.4258058854059812, + "fos_yielding": 4.902576776710381, + "deflection": 0.01266435545628031, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.297)" + }, + "parent_node_id": "node_145", + "improvement_over_parent": null + }, + "node_147": { + "node_id": "node_147", + "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70195121040302, + "fos_buckling": 1.5304016523828619, + "fos_yielding": 4.836796531542059, + "deflection": 0.011226746917737713, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.005227)" + }, + "parent_node_id": "node_146", + "improvement_over_parent": null + }, + "node_148": { + "node_id": "node_148", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_147", + "improvement_over_parent": null + }, + "node_149": { + "node_id": "node_149", + "content": "INITIAL DESIGN (Trace 21)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0028)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 153.06 kg\n Factor of Safety: 0.13\n Max Deflection: 1.86e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 153.0613714304715, + "fos_buckling": 0.12577565793771345, + "fos_yielding": 0.9860844127543579, + "deflection": 18611969213796.047, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_150": { + "node_id": "node_150", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0028)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n\nPerformance:\n Mass: 164.08 kg\n Factor of Safety: 0.28\n Max Deflection: 6.46e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.07702830635847, + "fos_buckling": 0.2776180023111735, + "fos_yielding": 0.6531545771344275, + "deflection": 0.06455850544103434, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.005624)" + }, + "parent_node_id": "node_149", + "improvement_over_parent": null + }, + "node_151": { + "node_id": "node_151", + "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0028)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 179.26 kg\n Factor of Safety: 0.34\n Max Deflection: 2.96e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.26158232125988, + "fos_buckling": 0.33772785815583256, + "fos_yielding": 2.087653881301402, + "deflection": 0.029648379028321913, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)" + }, + "parent_node_id": "node_150", + "improvement_over_parent": null + }, + "node_152": { + "node_id": "node_152", + "content": "MODIFICATION: Increase 12 thickness by 55%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0028)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0073)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 182.94 kg\n Factor of Safety: 0.34\n Max Deflection: 2.94e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.9382342790879, + "fos_buckling": 0.33762395735959444, + "fos_yielding": 2.086707823185777, + "deflection": 0.029407428740389666, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.550)" + }, + "parent_node_id": "node_151", + "improvement_over_parent": null + }, + "node_153": { + "node_id": "node_153", + "content": "MODIFICATION: Increase 12 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0028)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0100)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 186.27 kg\n Factor of Safety: 0.34\n Max Deflection: 2.93e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 186.26512388506646, + "fos_buckling": 0.3375299957962743, + "fos_yielding": 2.085852502878867, + "deflection": 0.029282447160508162, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.364)" + }, + "parent_node_id": "node_152", + "improvement_over_parent": null + }, + "node_154": { + "node_id": "node_154", + "content": "MODIFICATION: Increase 1 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0028)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0100)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 188.21 kg\n Factor of Safety: 0.34\n Max Deflection: 2.81e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.2082688834013, + "fos_buckling": 0.337365480723114, + "fos_yielding": 2.084355484949024, + "deflection": 0.02809697786668029, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.214)" + }, + "parent_node_id": "node_153", + "improvement_over_parent": null + }, + "node_155": { + "node_id": "node_155", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0028)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0100)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n Mass: 200.70 kg\n Factor of Safety: 1.03\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.69607596041806, + "fos_buckling": 1.029717369247658, + "fos_yielding": 4.6549661920976, + "deflection": 0.011678361786877286, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.006468)" + }, + "parent_node_id": "node_154", + "improvement_over_parent": null + }, + "node_156": { + "node_id": "node_156", + "content": "MODIFICATION: Increase 19 thickness by 56%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0028)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0100)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0111)]\n M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n Mass: 207.99 kg\n Factor of Safety: 1.02\n Max Deflection: 1.10e-02 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 207.99358875948982, + "fos_buckling": 1.0220527339847723, + "fos_yielding": 4.651576247892763, + "deflection": 0.01095786097625643, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(19, thickness, 1.560)" + }, + "parent_node_id": "node_155", + "improvement_over_parent": null + }, + "node_157": { + "node_id": "node_157", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_156", + "improvement_over_parent": null + }, + "node_158": { + "node_id": "node_158", + "content": "INITIAL DESIGN (Trace 22)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0026)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0031)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0036)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0034)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0021)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0032)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0035)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0028)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0028)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0008)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0020)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0026)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0029)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0018)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0026)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0020)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0028)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0024)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0024)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0038)]\n\nPerformance:\n Mass: 100.94 kg\n Factor of Safety: 0.84\n Max Deflection: 2.22e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 100.94336258026281, + "fos_buckling": 0.836082826802397, + "fos_yielding": 2.489732485816951, + "deflection": 0.022172924495458515, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_159": { + "node_id": "node_159", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0045)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0043)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0040)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0035)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0010)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0037)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0023)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0032)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0026)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0035)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0030)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0048)]\n\nPerformance:\n Mass: 125.92 kg\n Factor of Safety: 1.02\n Max Deflection: 1.78e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 125.92113637530755, + "fos_buckling": 1.0190500803379423, + "fos_yielding": 3.1026718737311167, + "deflection": 0.017841061217153436, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.261)" + }, + "parent_node_id": "node_158", + "improvement_over_parent": null + }, + "node_160": { + "node_id": "node_160", + "content": "MODIFICATION: Increase 9 thickness by 51%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0045)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0043)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0040)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0035)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0037)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0023)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0032)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0026)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0035)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0030)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0048)]\n\nPerformance:\n Mass: 126.15 kg\n Factor of Safety: 1.02\n Max Deflection: 1.78e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 126.15424024675966, + "fos_buckling": 1.0189343044689068, + "fos_yielding": 3.1095803213185715, + "deflection": 0.017842456647679913, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.506)" + }, + "parent_node_id": "node_159", + "improvement_over_parent": null + }, + "node_161": { + "node_id": "node_161", + "content": "MODIFICATION: Increase 16 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0045)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0043)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0040)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0035)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0037)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0023)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0032)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0035)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0030)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0048)]\n\nPerformance:\n Mass: 127.93 kg\n Factor of Safety: 1.02\n Max Deflection: 1.76e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 127.93375152427828, + "fos_buckling": 1.019194050913669, + "fos_yielding": 3.1131492541753762, + "deflection": 0.017570002399951663, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.357)" + }, + "parent_node_id": "node_160", + "improvement_over_parent": null + }, + "node_162": { + "node_id": "node_162", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0029)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n Mass: 161.20 kg\n Factor of Safety: 1.25\n Max Deflection: 1.40e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 161.1978097149932, + "fos_buckling": 1.2450633958615593, + "fos_yielding": 3.9178562838389794, + "deflection": 0.014015085692073534, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.279)" + }, + "parent_node_id": "node_161", + "improvement_over_parent": null + }, + "node_163": { + "node_id": "node_163", + "content": "MODIFICATION: Increase 19 thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0029)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n Mass: 163.51 kg\n Factor of Safety: 1.28\n Max Deflection: 1.39e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.50891146510887, + "fos_buckling": 1.2796521804686465, + "fos_yielding": 3.9178884269475995, + "deflection": 0.01391669803515103, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(19, thickness, 1.280)" + }, + "parent_node_id": "node_162", + "improvement_over_parent": null + }, + "node_164": { + "node_id": "node_164", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 203.29 kg\n Factor of Safety: 1.53\n Max Deflection: 1.13e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 203.29431162467202, + "fos_buckling": 1.5319083688891737, + "fos_yielding": 4.865259275111677, + "deflection": 0.011259390156747824, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.267)" + }, + "parent_node_id": "node_163", + "improvement_over_parent": null + }, + "node_165": { + "node_id": "node_165", + "content": "MODIFICATION: Increase 14 thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.94 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.93958238925953, + "fos_buckling": 1.531799416129435, + "fos_yielding": 4.842344902478166, + "deflection": 0.011214022824206317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.294)" + }, + "parent_node_id": "node_164", + "improvement_over_parent": null + }, + "node_166": { + "node_id": "node_166", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_165", + "improvement_over_parent": null + }, + "node_167": { + "node_id": "node_167", + "content": "INITIAL DESIGN (Trace 23)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (17 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n Mass: 141.62 kg\n Factor of Safety: 0.82\n Max Deflection: 2.11e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 141.62235819908108, + "fos_buckling": 0.8176651949079148, + "fos_yielding": 4.09912980424862, + "deflection": 0.0210858449797502, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_168": { + "node_id": "node_168", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n M17: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n\nPerformance:\n Mass: 142.19 kg\n Factor of Safety: 0.29\n Max Deflection: 1.84e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 142.19060504433682, + "fos_buckling": 0.2872953299498942, + "fos_yielding": 4.09912980424862, + "deflection": 0.01842075336938429, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001554)" + }, + "parent_node_id": "node_167", + "improvement_over_parent": null + }, + "node_169": { + "node_id": "node_169", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M17: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n Mass: 179.15 kg\n Factor of Safety: 0.35\n Max Deflection: 1.47e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.151635240274, + "fos_buckling": 0.3453670217659415, + "fos_yielding": 5.162306413940332, + "deflection": 0.014710436766807366, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.285)" + }, + "parent_node_id": "node_168", + "improvement_over_parent": null + }, + "node_170": { + "node_id": "node_170", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M17: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M18: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n\nPerformance:\n Mass: 180.28 kg\n Factor of Safety: 1.09\n Max Deflection: 1.35e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.27828306056063, + "fos_buckling": 1.0943343987300689, + "fos_yielding": 5.162306413940332, + "deflection": 0.013497461162961034, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002506)" + }, + "parent_node_id": "node_169", + "improvement_over_parent": null + }, + "node_171": { + "node_id": "node_171", + "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M17: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M18: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n Mass: 194.16 kg\n Factor of Safety: 1.16\n Max Deflection: 1.22e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.16318993618222, + "fos_buckling": 1.1554703503208443, + "fos_yielding": 5.162306413940332, + "deflection": 0.012215754786293408, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)" + }, + "parent_node_id": "node_170", + "improvement_over_parent": null + }, + "node_172": { + "node_id": "node_172", + "content": "MODIFICATION: Increase 1 thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M17: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M18: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n Mass: 196.93 kg\n Factor of Safety: 1.15\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.9304477528323, + "fos_buckling": 1.154153529203185, + "fos_yielding": 5.162306413940332, + "deflection": 0.011863473712764626, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.332)" + }, + "parent_node_id": "node_171", + "improvement_over_parent": null + }, + "node_173": { + "node_id": "node_173", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M17: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M18: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n Mass: 204.71 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.71209626508477, + "fos_buckling": 1.530404636147861, + "fos_yielding": 4.836812784626616, + "deflection": 0.011225776187733488, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004727)" + }, + "parent_node_id": "node_172", + "improvement_over_parent": null + }, + "node_174": { + "node_id": "node_174", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_173", + "improvement_over_parent": null + }, + "node_175": { + "node_id": "node_175", + "content": "INITIAL DESIGN (Trace 24)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n\nPerformance:\n Mass: 171.08 kg\n Factor of Safety: 0.49\n Max Deflection: 2.13e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.0849282303115, + "fos_buckling": 0.4882412544011418, + "fos_yielding": 2.431877190281747, + "deflection": 0.021310704504203234, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_176": { + "node_id": "node_176", + "content": "MODIFICATION: Increase 11 thickness by 45%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n\nPerformance:\n Mass: 172.58 kg\n Factor of Safety: 0.49\n Max Deflection: 2.06e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.58001127139664, + "fos_buckling": 0.4882412544011418, + "fos_yielding": 3.2794253913633575, + "deflection": 0.020625248048850877, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.445)" + }, + "parent_node_id": "node_175", + "improvement_over_parent": null + }, + "node_177": { + "node_id": "node_177", + "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 193.43 kg\n Factor of Safety: 1.47\n Max Deflection: 1.20e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.42822276037515, + "fos_buckling": 1.4742720126228108, + "fos_yielding": 4.8472335875759285, + "deflection": 0.011958339004241382, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.007737)" + }, + "parent_node_id": "node_176", + "improvement_over_parent": null + }, + "node_178": { + "node_id": "node_178", + "content": "MODIFICATION: Increase 15 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 195.15 kg\n Factor of Safety: 1.47\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.14551755630643, + "fos_buckling": 1.4749397016384538, + "fos_yielding": 4.849452824216846, + "deflection": 0.011801947534673353, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.203)" + }, + "parent_node_id": "node_177", + "improvement_over_parent": null + }, + "node_179": { + "node_id": "node_179", + "content": "MODIFICATION: Increase 17 thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 196.88 kg\n Factor of Safety: 1.47\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.88089565298236, + "fos_buckling": 1.4738678520607191, + "fos_yielding": 4.847020620388423, + "deflection": 0.011805051089741699, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.277)" + }, + "parent_node_id": "node_178", + "improvement_over_parent": null + }, + "node_180": { + "node_id": "node_180", + "content": "MODIFICATION: Increase 1 thickness by 42%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 200.16 kg\n Factor of Safety: 1.47\n Max Deflection: 1.14e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.16404760222252, + "fos_buckling": 1.4714707126382272, + "fos_yielding": 4.840610336287051, + "deflection": 0.011448292934013116, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.418)" + }, + "parent_node_id": "node_179", + "improvement_over_parent": null + }, + "node_181": { + "node_id": "node_181", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n Mass: 200.88 kg\n Factor of Safety: 1.47\n Max Deflection: 1.13e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.88017942869618, + "fos_buckling": 1.4728851599531723, + "fos_yielding": 4.83675085445648, + "deflection": 0.011339329947057797, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)" + }, + "parent_node_id": "node_180", + "improvement_over_parent": null + }, + "node_182": { + "node_id": "node_182", + "content": "MODIFICATION: Increase 19 thickness by 41%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0109)]\n M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n Mass: 208.40 kg\n Factor of Safety: 1.57\n Max Deflection: 1.10e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 208.4018165831093, + "fos_buckling": 1.5725748439707792, + "fos_yielding": 4.836262325875604, + "deflection": 0.01104996251495392, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(19, thickness, 1.414)" + }, + "parent_node_id": "node_181", + "improvement_over_parent": null + }, + "node_183": { + "node_id": "node_183", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_182", + "improvement_over_parent": null + }, + "node_184": { + "node_id": "node_184", + "content": "INITIAL DESIGN (Trace 25)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0030)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0034)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0035)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n Mass: 139.04 kg\n Factor of Safety: 0.77\n Max Deflection: 1.93e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 139.03606883038935, + "fos_buckling": 0.7655909434282531, + "fos_yielding": 4.052564917487757, + "deflection": 0.019258659168527426, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_185": { + "node_id": "node_185", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0030)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0034)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0035)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n\nPerformance:\n Mass: 143.20 kg\n Factor of Safety: 0.90\n Max Deflection: 1.83e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 143.20263398348186, + "fos_buckling": 0.8957360686757073, + "fos_yielding": 3.783300962688437, + "deflection": 0.018295576488473627, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003242)" + }, + "parent_node_id": "node_184", + "improvement_over_parent": null + }, + "node_186": { + "node_id": "node_186", + "content": "MODIFICATION: Increase 6 thickness by 63%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0030)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0034)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0071)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0035)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n\nPerformance:\n Mass: 145.75 kg\n Factor of Safety: 0.90\n Max Deflection: 1.82e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 145.74632342198134, + "fos_buckling": 0.8957360686757092, + "fos_yielding": 4.414128973361008, + "deflection": 0.018156716748670906, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.626)" + }, + "parent_node_id": "node_185", + "improvement_over_parent": null + }, + "node_187": { + "node_id": "node_187", + "content": "MODIFICATION: Increase 12 thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0030)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0034)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0071)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0035)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n\nPerformance:\n Mass: 147.43 kg\n Factor of Safety: 0.90\n Max Deflection: 1.81e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 147.4266268363398, + "fos_buckling": 0.895693385069115, + "fos_yielding": 4.412349212152559, + "deflection": 0.018087684658163333, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.302)" + }, + "parent_node_id": "node_186", + "improvement_over_parent": null + }, + "node_188": { + "node_id": "node_188", + "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0030)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0034)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0071)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0035)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n\nPerformance:\n Mass: 154.86 kg\n Factor of Safety: 0.92\n Max Deflection: 1.66e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 154.85555318504933, + "fos_buckling": 0.9186772970217261, + "fos_yielding": 4.3415820057596735, + "deflection": 0.01655501693624812, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.004329)" + }, + "parent_node_id": "node_187", + "improvement_over_parent": null + }, + "node_189": { + "node_id": "node_189", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0093)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0062)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n Mass: 197.17 kg\n Factor of Safety: 1.14\n Max Deflection: 1.30e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.17063602209373, + "fos_buckling": 1.144789561830189, + "fos_yielding": 5.518725922611428, + "deflection": 0.0130417773828309, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.300)" + }, + "parent_node_id": "node_188", + "improvement_over_parent": null + }, + "node_190": { + "node_id": "node_190", + "content": "MODIFICATION: Increase 1 thickness by 64%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0093)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0062)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n Mass: 201.55 kg\n Factor of Safety: 1.13\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.55319954941106, + "fos_buckling": 1.1334960089128976, + "fos_yielding": 5.520997540279197, + "deflection": 0.012381806091791696, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.639)" + }, + "parent_node_id": "node_189", + "improvement_over_parent": null + }, + "node_191": { + "node_id": "node_191", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_190", + "improvement_over_parent": null + }, + "node_192": { + "node_id": "node_192", + "content": "INITIAL DESIGN (Trace 26)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n Mass: 150.87 kg\n Factor of Safety: 0.09\n Max Deflection: 1.54e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 150.8738463284473, + "fos_buckling": 0.09278873986586465, + "fos_yielding": 2.222081605486271, + "deflection": 0.015404657944881358, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_193": { + "node_id": "node_193", + "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n M18: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n\nPerformance:\n Mass: 160.39 kg\n Factor of Safety: 0.37\n Max Deflection: 1.57e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 160.39004176965713, + "fos_buckling": 0.3665894789055513, + "fos_yielding": 3.227342121336361, + "deflection": 0.015665119305482967, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004693)" + }, + "parent_node_id": "node_192", + "improvement_over_parent": null + }, + "node_194": { + "node_id": "node_194", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n Mass: 192.68 kg\n Factor of Safety: 0.43\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.6849607440414, + "fos_buckling": 0.425802451094207, + "fos_yielding": 3.891923071805276, + "deflection": 0.013099746301252435, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.221)" + }, + "parent_node_id": "node_193", + "improvement_over_parent": null + }, + "node_195": { + "node_id": "node_195", + "content": "MODIFICATION: Increase 8 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n Mass: 194.11 kg\n Factor of Safety: 0.43\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.10936229603777, + "fos_buckling": 0.425802451094207, + "fos_yielding": 5.150190198436442, + "deflection": 0.013099746301252435, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.355)" + }, + "parent_node_id": "node_194", + "improvement_over_parent": null + }, + "node_196": { + "node_id": "node_196", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n\nPerformance:\n Mass: 195.24 kg\n Factor of Safety: 0.43\n Max Deflection: 1.27e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.2360101163244, + "fos_buckling": 0.4259123275270792, + "fos_yielding": 4.905466836306472, + "deflection": 0.012661348355714972, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002506)" + }, + "parent_node_id": "node_195", + "improvement_over_parent": null + }, + "node_197": { + "node_id": "node_197", + "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n Mass: 204.75 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.75166793332474, + "fos_buckling": 1.5307003388848712, + "fos_yielding": 4.839645480075347, + "deflection": 0.011224106412317369, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.005227)" + }, + "parent_node_id": "node_196", + "improvement_over_parent": null + }, + "node_198": { + "node_id": "node_198", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_197", + "improvement_over_parent": null + }, + "node_199": { + "node_id": "node_199", + "content": "INITIAL DESIGN (Trace 27)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0044)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0042)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0039)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0034)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0036)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0028)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0034)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0035)]\n\nPerformance:\n Mass: 119.41 kg\n Factor of Safety: 0.56\n Max Deflection: 2.16e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 119.40512717061607, + "fos_buckling": 0.5582025731105787, + "fos_yielding": 3.2211498717777682, + "deflection": 0.021582411713779937, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_200": { + "node_id": "node_200", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0046)]\n\nPerformance:\n Mass: 154.90 kg\n Factor of Safety: 0.70\n Max Deflection: 1.67e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 154.89759289541558, + "fos_buckling": 0.7029488493578616, + "fos_yielding": 4.176244460423872, + "deflection": 0.016678402463144323, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.319)" + }, + "parent_node_id": "node_199", + "improvement_over_parent": null + }, + "node_201": { + "node_id": "node_201", + "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0046)]\n M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n\nPerformance:\n Mass: 157.42 kg\n Factor of Safety: 0.97\n Max Deflection: 1.49e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.41852509159938, + "fos_buckling": 0.973831191259272, + "fos_yielding": 4.176244460423873, + "deflection": 0.014916176036593929, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003310)" + }, + "parent_node_id": "node_200", + "improvement_over_parent": null + }, + "node_202": { + "node_id": "node_202", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0046)]\n M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n\nPerformance:\n Mass: 161.71 kg\n Factor of Safety: 1.08\n Max Deflection: 1.41e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 161.7140720933189, + "fos_buckling": 1.079531561232746, + "fos_yielding": 3.9172892166681055, + "deflection": 0.01413302974647109, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003350)" + }, + "parent_node_id": "node_201", + "improvement_over_parent": null + }, + "node_203": { + "node_id": "node_203", + "content": "MODIFICATION: Increase 20 thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0046)]\n M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0044)]\n\nPerformance:\n Mass: 162.97 kg\n Factor of Safety: 1.08\n Max Deflection: 1.41e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.97139537764798, + "fos_buckling": 1.079472518730233, + "fos_yielding": 3.903494994782105, + "deflection": 0.014090918531889752, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(20, thickness, 1.323)" + }, + "parent_node_id": "node_202", + "improvement_over_parent": null + }, + "node_204": { + "node_id": "node_204", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0056)]\n\nPerformance:\n Mass: 201.45 kg\n Factor of Safety: 1.30\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.44637553049435, + "fos_buckling": 1.3012118234416665, + "fos_yielding": 4.81937518179917, + "deflection": 0.011460517174607816, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.259)" + }, + "parent_node_id": "node_203", + "improvement_over_parent": null + }, + "node_205": { + "node_id": "node_205", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_204", + "improvement_over_parent": null + }, + "node_206": { + "node_id": "node_206", + "content": "INITIAL DESIGN (Trace 28)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0022)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0025)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0052)]\n\nPerformance:\n Mass: 134.98 kg\n Factor of Safety: 0.66\n Max Deflection: 1.79e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 134.9753432929909, + "fos_buckling": 0.6585747850661061, + "fos_yielding": 3.3594542185454133, + "deflection": 0.017939504027494696, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_207": { + "node_id": "node_207", + "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0022)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0025)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0052)]\n M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n\nPerformance:\n Mass: 137.15 kg\n Factor of Safety: 0.96\n Max Deflection: 1.64e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 137.1506915419974, + "fos_buckling": 0.958702247306357, + "fos_yielding": 3.3212449590413673, + "deflection": 0.016430407390060582, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.002827)" + }, + "parent_node_id": "node_206", + "improvement_over_parent": null + }, + "node_208": { + "node_id": "node_208", + "content": "MODIFICATION: Increase 14 thickness by 61%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0022)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0052)]\n M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n\nPerformance:\n Mass: 140.09 kg\n Factor of Safety: 1.08\n Max Deflection: 1.60e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 140.09156780880937, + "fos_buckling": 1.0825513592922058, + "fos_yielding": 3.3513516957749343, + "deflection": 0.016043667135229176, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.613)" + }, + "parent_node_id": "node_207", + "improvement_over_parent": null + }, + "node_209": { + "node_id": "node_209", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0028)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n\nPerformance:\n Mass: 172.90 kg\n Factor of Safety: 1.28\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.8966401360508, + "fos_buckling": 1.2846993949679817, + "fos_yielding": 4.131481690661877, + "deflection": 0.01306215774194997, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.253)" + }, + "parent_node_id": "node_208", + "improvement_over_parent": null + }, + "node_210": { + "node_id": "node_210", + "content": "MODIFICATION: Increase 15 thickness by 54%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0028)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0075)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n\nPerformance:\n Mass: 177.56 kg\n Factor of Safety: 1.30\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.5565731410199, + "fos_buckling": 1.303730348120952, + "fos_yielding": 4.136945818656346, + "deflection": 0.013257641640583046, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.536)" + }, + "parent_node_id": "node_209", + "improvement_over_parent": null + }, + "node_211": { + "node_id": "node_211", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0028)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0075)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M20: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n\nPerformance:\n Mass: 178.53 kg\n Factor of Safety: 1.18\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.5272434071422, + "fos_buckling": 1.1835979922053554, + "fos_yielding": 4.180168928840386, + "deflection": 0.01329960260452715, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002130)" + }, + "parent_node_id": "node_210", + "improvement_over_parent": null + }, + "node_212": { + "node_id": "node_212", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0032)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0059)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0088)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M20: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n\nPerformance:\n Mass: 207.02 kg\n Factor of Safety: 1.35\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 207.0172728041525, + "fos_buckling": 1.3517518912315865, + "fos_yielding": 4.8461293940600045, + "deflection": 0.011505002577550274, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.176)" + }, + "parent_node_id": "node_211", + "improvement_over_parent": null + }, + "node_213": { + "node_id": "node_213", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_212", + "improvement_over_parent": null + }, + "node_214": { + "node_id": "node_214", + "content": "INITIAL DESIGN (Trace 29)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n Mass: 123.97 kg\n Factor of Safety: 0.43\n Max Deflection: 2.87e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 123.9693690788244, + "fos_buckling": 0.43248830663547616, + "fos_yielding": 3.28072374334251, + "deflection": 28656986880229.633, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_215": { + "node_id": "node_215", + "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n M18: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n\nPerformance:\n Mass: 131.98 kg\n Factor of Safety: 0.21\n Max Deflection: 4.85e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 131.9754864320191, + "fos_buckling": 0.2058708826151165, + "fos_yielding": 0.906033758735956, + "deflection": 0.048530273518864186, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.003900)" + }, + "parent_node_id": "node_214", + "improvement_over_parent": null + }, + "node_216": { + "node_id": "node_216", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n M18: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n\nPerformance:\n Mass: 160.08 kg\n Factor of Safety: 0.24\n Max Deflection: 4.02e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 160.0842850736652, + "fos_buckling": 0.2422923790105303, + "fos_yielding": 1.0953330349010184, + "deflection": 0.040152607840576844, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.230)" + }, + "parent_node_id": "node_215", + "improvement_over_parent": null + }, + "node_217": { + "node_id": "node_217", + "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n M18: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n\nPerformance:\n Mass: 173.00 kg\n Factor of Safety: 1.16\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.99509556244817, + "fos_buckling": 1.1633953375912616, + "fos_yielding": 4.04799330011741, + "deflection": 0.013105683216838292, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.005976)" + }, + "parent_node_id": "node_216", + "improvement_over_parent": null + }, + "node_218": { + "node_id": "node_218", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n M18: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M20: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n\nPerformance:\n Mass: 173.95 kg\n Factor of Safety: 1.34\n Max Deflection: 1.32e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.95270015872217, + "fos_buckling": 1.3387777028804042, + "fos_yielding": 4.113450872937936, + "deflection": 0.013151526500265862, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002099)" + }, + "parent_node_id": "node_217", + "improvement_over_parent": null + }, + "node_219": { + "node_id": "node_219", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M20: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n\nPerformance:\n Mass: 204.52 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.52085268620678, + "fos_buckling": 1.5292455250740566, + "fos_yielding": 4.832338810114635, + "deflection": 0.011235808438537227, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.193)" + }, + "parent_node_id": "node_218", + "improvement_over_parent": null + }, + "node_220": { + "node_id": "node_220", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_219", + "improvement_over_parent": null + }, + "node_221": { + "node_id": "node_221", + "content": "INITIAL DESIGN (Trace 30)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 187.38 kg\n Factor of Safety: 0.43\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 187.38364369925208, + "fos_buckling": 0.4254246944665406, + "fos_yielding": 5.162266572147205, + "deflection": 0.013117253981036461, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_222": { + "node_id": "node_222", + "content": "MODIFICATION: Increase 13 thickness by 52%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 189.88 kg\n Factor of Safety: 0.43\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.8765074947101, + "fos_buckling": 0.4255460696658598, + "fos_yielding": 5.161214647430548, + "deflection": 0.013119941091571266, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.517)" + }, + "parent_node_id": "node_221", + "improvement_over_parent": null + }, + "node_223": { + "node_id": "node_223", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 195.18 kg\n Factor of Safety: 0.43\n Max Deflection: 1.27e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.1845529717046, + "fos_buckling": 0.4258047442986778, + "fos_yielding": 4.9025711050544345, + "deflection": 0.012664471119112647, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)" + }, + "parent_node_id": "node_222", + "improvement_over_parent": null + }, + "node_224": { + "node_id": "node_224", + "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70021078870494, + "fos_buckling": 1.530394127359872, + "fos_yielding": 4.83679069742364, + "deflection": 0.011226817271096345, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.005227)" + }, + "parent_node_id": "node_223", + "improvement_over_parent": null + }, + "node_225": { + "node_id": "node_225", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_224", + "improvement_over_parent": null + }, + "node_226": { + "node_id": "node_226", + "content": "INITIAL DESIGN (Trace 31)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0031)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0042)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0040)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0037)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0023)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0033)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0031)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0030)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0044)]\n\nPerformance:\n Mass: 102.60 kg\n Factor of Safety: 0.03\n Max Deflection: 4.28e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 102.59721995711244, + "fos_buckling": 0.028592387277314318, + "fos_yielding": 0.6573896085029051, + "deflection": 42773556118809.52, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_227": { + "node_id": "node_227", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0031)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n Mass: 133.38 kg\n Factor of Safety: 0.07\n Max Deflection: 5.57e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 133.37526677604458, + "fos_buckling": 0.06545590591218148, + "fos_yielding": 0.9860844127543579, + "deflection": 55738229415290.016, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.321)" + }, + "parent_node_id": "node_226", + "improvement_over_parent": null + }, + "node_228": { + "node_id": "node_228", + "content": "MODIFICATION: Increase 6 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n Mass: 135.35 kg\n Factor of Safety: 0.00\n Max Deflection: 7.75e+14 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 135.34758363330064, + "fos_buckling": 0.00173344866064068, + "fos_yielding": 0.04108685053143158, + "deflection": 774687082967177.9, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.395)" + }, + "parent_node_id": "node_227", + "improvement_over_parent": null + }, + "node_229": { + "node_id": "node_229", + "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n M18: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n\nPerformance:\n Mass: 144.19 kg\n Factor of Safety: 0.22\n Max Deflection: 5.03e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 144.18508293737693, + "fos_buckling": 0.22406776956249008, + "fos_yielding": 1.0813053530015173, + "deflection": 0.05026500827672939, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004334)" + }, + "parent_node_id": "node_228", + "improvement_over_parent": null + }, + "node_230": { + "node_id": "node_230", + "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n M18: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n\nPerformance:\n Mass: 146.59 kg\n Factor of Safety: 0.22\n Max Deflection: 4.34e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 146.59380462974764, + "fos_buckling": 0.22397688816709926, + "fos_yielding": 1.0808606026660745, + "deflection": 0.043418349929269164, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003152)" + }, + "parent_node_id": "node_229", + "improvement_over_parent": null + }, + "node_231": { + "node_id": "node_231", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n Mass: 189.47 kg\n Factor of Safety: 0.28\n Max Deflection: 3.38e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.46626836952922, + "fos_buckling": 0.2763088334693361, + "fos_yielding": 1.3899153004783036, + "deflection": 0.033777310139023194, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.321)" + }, + "parent_node_id": "node_230", + "improvement_over_parent": null + }, + "node_232": { + "node_id": "node_232", + "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 204.65 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.65082238443063, + "fos_buckling": 1.5300465142954551, + "fos_yielding": 4.835706680100164, + "deflection": 0.011228826308206517, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)" + }, + "parent_node_id": "node_231", + "improvement_over_parent": null + }, + "node_233": { + "node_id": "node_233", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_232", + "improvement_over_parent": null + }, + "node_234": { + "node_id": "node_234", + "content": "INITIAL DESIGN (Trace 32)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 181.42 kg\n Factor of Safety: 0.45\n Max Deflection: 1.51e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.42438019840785, + "fos_buckling": 0.44531828431154724, + "fos_yielding": 2.959837987700955, + "deflection": 0.01508716860544012, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_235": { + "node_id": "node_235", + "content": "MODIFICATION: Increase 17 thickness by 42%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 185.28 kg\n Factor of Safety: 0.44\n Max Deflection: 1.51e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.2805275267608, + "fos_buckling": 0.44436255192745194, + "fos_yielding": 2.95965108608351, + "deflection": 0.015077772987527986, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.422)" + }, + "parent_node_id": "node_234", + "improvement_over_parent": null + }, + "node_236": { + "node_id": "node_236", + "content": "MODIFICATION: Increase 8 thickness by 44%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 186.94 kg\n Factor of Safety: 0.44\n Max Deflection: 1.47e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 186.9407705631828, + "fos_buckling": 0.4443625519274526, + "fos_yielding": 4.138064613383422, + "deflection": 0.01470714853843435, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.437)" + }, + "parent_node_id": "node_235", + "improvement_over_parent": null + }, + "node_237": { + "node_id": "node_237", + "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 199.48 kg\n Factor of Safety: 0.90\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.4797629031521, + "fos_buckling": 0.9022536893394845, + "fos_yielding": 4.856191675399473, + "deflection": 0.012403913431848546, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)" + }, + "parent_node_id": "node_236", + "improvement_over_parent": null + }, + "node_238": { + "node_id": "node_238", + "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n Mass: 202.60 kg\n Factor of Safety: 1.47\n Max Deflection: 1.13e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.59514080287252, + "fos_buckling": 1.466322927856174, + "fos_yielding": 4.839853284319231, + "deflection": 0.01129645615039458, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)" + }, + "parent_node_id": "node_237", + "improvement_over_parent": null + }, + "node_239": { + "node_id": "node_239", + "content": "MODIFICATION: Increase 7 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70000087733962, + "fos_buckling": 1.5303425694956736, + "fos_yielding": 4.8398896877156, + "deflection": 0.01122673971476654, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.314)" + }, + "parent_node_id": "node_238", + "improvement_over_parent": null + }, + "node_240": { + "node_id": "node_240", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_239", + "improvement_over_parent": null + }, + "node_241": { + "node_id": "node_241", + "content": "INITIAL DESIGN (Trace 33)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0030)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0041)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0038)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0036)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0032)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0031)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0032)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0023)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0030)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0022)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0026)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0029)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0031)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0043)]\n\nPerformance:\n Mass: 108.21 kg\n Factor of Safety: 0.16\n Max Deflection: 2.10e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 108.20615838212136, + "fos_buckling": 0.1562931811364685, + "fos_yielding": 2.764870947675902, + "deflection": 0.02096163099322219, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_242": { + "node_id": "node_242", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0053)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0050)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0047)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0041)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0039)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0029)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0056)]\n\nPerformance:\n Mass: 138.37 kg\n Factor of Safety: 0.19\n Max Deflection: 1.64e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 138.3692302356503, + "fos_buckling": 0.19455043117800863, + "fos_yielding": 3.5316459361981245, + "deflection": 0.0164303084114511, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.297)" + }, + "parent_node_id": "node_241", + "improvement_over_parent": null + }, + "node_243": { + "node_id": "node_243", + "content": "MODIFICATION: Increase 6 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0053)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0050)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0047)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0041)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0039)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0029)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0056)]\n\nPerformance:\n Mass: 140.36 kg\n Factor of Safety: 0.19\n Max Deflection: 1.58e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 140.359726202522, + "fos_buckling": 0.19445331390478832, + "fos_yielding": 3.5314679996474974, + "deflection": 0.015750920760759197, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.229)" + }, + "parent_node_id": "node_242", + "improvement_over_parent": null + }, + "node_244": { + "node_id": "node_244", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0033)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n\nPerformance:\n Mass: 159.50 kg\n Factor of Safety: 0.22\n Max Deflection: 1.39e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.4977584958493, + "fos_buckling": 0.21719914145295527, + "fos_yielding": 4.010636473073844, + "deflection": 0.01388580772175157, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.147)" + }, + "parent_node_id": "node_243", + "improvement_over_parent": null + }, + "node_245": { + "node_id": "node_245", + "content": "MODIFICATION: Increase 13 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n\nPerformance:\n Mass: 160.83 kg\n Factor of Safety: 0.22\n Max Deflection: 1.38e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 160.8328756167219, + "fos_buckling": 0.2153097261464248, + "fos_yielding": 4.034823237746193, + "deflection": 0.013823595739654292, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.198)" + }, + "parent_node_id": "node_244", + "improvement_over_parent": null + }, + "node_246": { + "node_id": "node_246", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 190.89 kg\n Factor of Safety: 0.25\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.88555284625744, + "fos_buckling": 0.24866681180592354, + "fos_yielding": 4.784412638411937, + "deflection": 0.011679677442797564, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.205)" + }, + "parent_node_id": "node_245", + "improvement_over_parent": null + }, + "node_247": { + "node_id": "node_247", + "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n Mass: 202.31 kg\n Factor of Safety: 1.37\n Max Deflection: 1.14e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.31275301229707, + "fos_buckling": 1.3712503292726008, + "fos_yielding": 4.803591158006231, + "deflection": 0.011353079973467723, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.005728)" + }, + "parent_node_id": "node_246", + "improvement_over_parent": null + }, + "node_248": { + "node_id": "node_248", + "content": "MODIFICATION: Increase 13 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n Mass: 204.74 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.74297098845008, + "fos_buckling": 1.5306318814102282, + "fos_yielding": 4.8376982845533005, + "deflection": 0.011223538794091653, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.264)" + }, + "parent_node_id": "node_247", + "improvement_over_parent": null + }, + "node_249": { + "node_id": "node_249", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_248", + "improvement_over_parent": null + }, + "node_250": { + "node_id": "node_250", + "content": "INITIAL DESIGN (Trace 34)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0039)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0021)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n Mass: 158.75 kg\n Factor of Safety: 0.98\n Max Deflection: 1.46e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 158.74840236247726, + "fos_buckling": 0.9750548959579136, + "fos_yielding": 3.615754478044273, + "deflection": 0.014567145004009343, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_251": { + "node_id": "node_251", + "content": "MODIFICATION: Increase 8 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0039)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0021)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n Mass: 159.52 kg\n Factor of Safety: 0.98\n Max Deflection: 1.46e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.51651489831434, + "fos_buckling": 0.9750548959579136, + "fos_yielding": 4.296398621517088, + "deflection": 0.014567145004009343, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.203)" + }, + "parent_node_id": "node_250", + "improvement_over_parent": null + }, + "node_252": { + "node_id": "node_252", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0039)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0021)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n\nPerformance:\n Mass: 165.99 kg\n Factor of Safety: 0.97\n Max Deflection: 1.38e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.99392026037214, + "fos_buckling": 0.9681721714828524, + "fos_yielding": 4.030124224552534, + "deflection": 0.01381277003071544, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003871)" + }, + "parent_node_id": "node_251", + "improvement_over_parent": null + }, + "node_253": { + "node_id": "node_253", + "content": "MODIFICATION: Increase 11 thickness by 59%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0039)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n\nPerformance:\n Mass: 166.92 kg\n Factor of Safety: 1.27\n Max Deflection: 1.38e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.91710248171736, + "fos_buckling": 1.2744337889637283, + "fos_yielding": 4.028993618563181, + "deflection": 0.013778071824536295, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.595)" + }, + "parent_node_id": "node_252", + "improvement_over_parent": null + }, + "node_254": { + "node_id": "node_254", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n Mass: 200.56 kg\n Factor of Safety: 1.48\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.56017984908755, + "fos_buckling": 1.4839074093755424, + "fos_yielding": 4.8353748530398954, + "deflection": 0.011520932417822264, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.221)" + }, + "parent_node_id": "node_253", + "improvement_over_parent": null + }, + "node_255": { + "node_id": "node_255", + "content": "MODIFICATION: Increase 3 thickness by 45%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n Mass: 204.71 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.71191031024915, + "fos_buckling": 1.5304713400990817, + "fos_yielding": 4.834961383749358, + "deflection": 0.011226197155915931, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.453)" + }, + "parent_node_id": "node_254", + "improvement_over_parent": null + }, + "node_256": { + "node_id": "node_256", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_255", + "improvement_over_parent": null + }, + "node_257": { + "node_id": "node_257", + "content": "INITIAL DESIGN (Trace 35)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0040)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nPerformance:\n Mass: 162.14 kg\n Factor of Safety: 1.02\n Max Deflection: 1.45e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.14010380363436, + "fos_buckling": 1.0249240037454632, + "fos_yielding": 4.437726228166725, + "deflection": 0.014476019252861457, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_258": { + "node_id": "node_258", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 188.66 kg\n Factor of Safety: 1.16\n Max Deflection: 1.25e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.6555416934285, + "fos_buckling": 1.1556818390936812, + "fos_yielding": 5.160223769185067, + "deflection": 0.01249027013908173, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.179)" + }, + "parent_node_id": "node_257", + "improvement_over_parent": null + }, + "node_259": { + "node_id": "node_259", + "content": "MODIFICATION: Increase 0 thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 190.63 kg\n Factor of Safety: 1.16\n Max Deflection: 1.22e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.63192306645084, + "fos_buckling": 1.1551167918782308, + "fos_yielding": 5.160223769185067, + "deflection": 0.012202874414231728, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.330)" + }, + "parent_node_id": "node_258", + "improvement_over_parent": null + }, + "node_260": { + "node_id": "node_260", + "content": "MODIFICATION: Increase 3 thickness by 47%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 194.92 kg\n Factor of Safety: 1.15\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.92078552988187, + "fos_buckling": 1.154708407716111, + "fos_yielding": 5.160223769185067, + "deflection": 0.011895762080586174, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.475)" + }, + "parent_node_id": "node_259", + "improvement_over_parent": null + }, + "node_261": { + "node_id": "node_261", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n Mass: 202.70 kg\n Factor of Safety: 1.46\n Max Deflection: 1.13e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.70243404213434, + "fos_buckling": 1.4596070021711376, + "fos_yielding": 4.839142463733772, + "deflection": 0.011270636523425087, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004727)" + }, + "parent_node_id": "node_260", + "improvement_over_parent": null + }, + "node_262": { + "node_id": "node_262", + "content": "MODIFICATION: Increase 15 thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0072)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n Mass: 205.40 kg\n Factor of Safety: 1.52\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 205.3985036487756, + "fos_buckling": 1.5216492294955253, + "fos_yielding": 4.84273527647173, + "deflection": 0.011153335371713303, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.277)" + }, + "parent_node_id": "node_261", + "improvement_over_parent": null + }, + "node_263": { + "node_id": "node_263", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_262", + "improvement_over_parent": null + }, + "node_264": { + "node_id": "node_264", + "content": "INITIAL DESIGN (Trace 36)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0046)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0028)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n\nPerformance:\n Mass: 100.92 kg\n Factor of Safety: 0.19\n Max Deflection: 1.02e-01 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 100.92290408950902, + "fos_buckling": 0.19459618676569873, + "fos_yielding": 0.43070460514717585, + "deflection": 0.1015391831066381, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_265": { + "node_id": "node_265", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n\nPerformance:\n Mass: 126.17 kg\n Factor of Safety: 0.24\n Max Deflection: 8.15e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 126.17343486359178, + "fos_buckling": 0.23555822554433045, + "fos_yielding": 0.5363848634968571, + "deflection": 0.08151142624760932, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.269)" + }, + "parent_node_id": "node_264", + "improvement_over_parent": null + }, + "node_266": { + "node_id": "node_266", + "content": "MODIFICATION: Increase 5 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n\nPerformance:\n Mass: 127.67 kg\n Factor of Safety: 0.24\n Max Deflection: 8.08e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 127.67003174700653, + "fos_buckling": 0.23552846304082606, + "fos_yielding": 0.5363170036593816, + "deflection": 0.08077999669136751, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.258)" + }, + "parent_node_id": "node_265", + "improvement_over_parent": null + }, + "node_267": { + "node_id": "node_267", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M18: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n\nPerformance:\n Mass: 137.87 kg\n Factor of Safety: 0.23\n Max Deflection: 4.53e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 137.87221231580307, + "fos_buckling": 0.23492144266576617, + "fos_yielding": 1.1426523444301768, + "deflection": 0.045266933767023475, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.005191)" + }, + "parent_node_id": "node_266", + "improvement_over_parent": null + }, + "node_268": { + "node_id": "node_268", + "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M18: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n\nPerformance:\n Mass: 150.28 kg\n Factor of Safety: 0.41\n Max Deflection: 2.25e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 150.27974592031026, + "fos_buckling": 0.41312218849850463, + "fos_yielding": 2.795493956426688, + "deflection": 0.02252576017860316, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.005725)" + }, + "parent_node_id": "node_267", + "improvement_over_parent": null + }, + "node_269": { + "node_id": "node_269", + "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M18: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n\nPerformance:\n Mass: 167.31 kg\n Factor of Safety: 1.30\n Max Deflection: 1.37e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 167.31352741613006, + "fos_buckling": 1.2955064858887984, + "fos_yielding": 3.957725247185228, + "deflection": 0.01366234518822375, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.006210)" + }, + "parent_node_id": "node_268", + "improvement_over_parent": null + }, + "node_270": { + "node_id": "node_270", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.65 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.64548112730265, + "fos_buckling": 1.5298344210135315, + "fos_yielding": 4.835945473357503, + "deflection": 0.011230946421498317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.245)" + }, + "parent_node_id": "node_269", + "improvement_over_parent": null + }, + "node_271": { + "node_id": "node_271", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_270", + "improvement_over_parent": null + }, + "node_272": { + "node_id": "node_272", + "content": "INITIAL DESIGN (Trace 37)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0046)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0043)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0011)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0022)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n\nPerformance:\n Mass: 118.44 kg\n Factor of Safety: 0.06\n Max Deflection: 3.17e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 118.44101715482303, + "fos_buckling": 0.0553319224529168, + "fos_yielding": 0.7888675302034862, + "deflection": 31693243507204.58, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_273": { + "node_id": "node_273", + "content": "MODIFICATION: Increase 9 thickness by 48%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0046)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0043)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0022)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n\nPerformance:\n Mass: 118.67 kg\n Factor of Safety: 0.53\n Max Deflection: 1.48e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 118.66887358819386, + "fos_buckling": 0.5349682623217984, + "fos_yielding": 3.137617682433322, + "deflection": 14799196061339.725, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.479)" + }, + "parent_node_id": "node_272", + "improvement_over_parent": null + }, + "node_274": { + "node_id": "node_274", + "content": "MODIFICATION: Increase 12 thickness by 50%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0046)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0043)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n\nPerformance:\n Mass: 119.75 kg\n Factor of Safety: 0.53\n Max Deflection: 1.48e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 119.74998110428298, + "fos_buckling": 0.5349682623217984, + "fos_yielding": 3.249655952501714, + "deflection": 14799196061339.725, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.502)" + }, + "parent_node_id": "node_273", + "improvement_over_parent": null + }, + "node_275": { + "node_id": "node_275", + "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0046)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0043)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n\nPerformance:\n Mass: 125.33 kg\n Factor of Safety: 0.17\n Max Deflection: 1.78e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 125.33444432712021, + "fos_buckling": 0.16940714179487962, + "fos_yielding": 3.1289820864968125, + "deflection": 0.017817842403156436, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.003119)" + }, + "parent_node_id": "node_274", + "improvement_over_parent": null + }, + "node_276": { + "node_id": "node_276", + "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0054)]\n M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n\nPerformance:\n Mass: 138.86 kg\n Factor of Safety: 0.19\n Max Deflection: 1.61e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 138.8615621293183, + "fos_buckling": 0.185547688495356, + "fos_yielding": 3.4654301050953187, + "deflection": 0.016101425580750447, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.115)" + }, + "parent_node_id": "node_275", + "improvement_over_parent": null + }, + "node_277": { + "node_id": "node_277", + "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0054)]\n M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0040)]\n\nPerformance:\n Mass: 147.07 kg\n Factor of Safety: 1.16\n Max Deflection: 1.55e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 147.07183673517514, + "fos_buckling": 1.1603947087613473, + "fos_yielding": 3.480459134539251, + "deflection": 0.015495148149379127, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004006)" + }, + "parent_node_id": "node_276", + "improvement_over_parent": null + }, + "node_278": { + "node_id": "node_278", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n\nPerformance:\n Mass: 183.93 kg\n Factor of Safety: 1.40\n Max Deflection: 1.25e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.92630175945263, + "fos_buckling": 1.4024317619847166, + "fos_yielding": 4.3483227584606, + "deflection": 0.012457226150941365, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.272)" + }, + "parent_node_id": "node_277", + "improvement_over_parent": null + }, + "node_279": { + "node_id": "node_279", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n Mass: 204.85 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.84616773932697, + "fos_buckling": 1.5312630621272536, + "fos_yielding": 4.840189910568028, + "deflection": 0.011219150722748483, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.125)" + }, + "parent_node_id": "node_278", + "improvement_over_parent": null + }, + "node_280": { + "node_id": "node_280", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_279", + "improvement_over_parent": null + }, + "node_281": { + "node_id": "node_281", + "content": "INITIAL DESIGN (Trace 38)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0028)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0039)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0036)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0022)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0034)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0030)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0030)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0028)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0032)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0025)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0028)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0030)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0020)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0041)]\n\nPerformance:\n Mass: 103.98 kg\n Factor of Safety: 0.41\n Max Deflection: 2.31e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 103.98145941915223, + "fos_buckling": 0.4070923488128716, + "fos_yielding": 2.6738225686117043, + "deflection": 0.02313821838560511, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_282": { + "node_id": "node_282", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0043)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0038)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0036)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0028)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0033)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0022)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0046)]\n\nPerformance:\n Mass: 116.32 kg\n Factor of Safety: 0.45\n Max Deflection: 2.07e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 116.31673509638992, + "fos_buckling": 0.4534758874381716, + "fos_yielding": 2.989748240683859, + "deflection": 0.020703706796100334, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.125)" + }, + "parent_node_id": "node_281", + "improvement_over_parent": null + }, + "node_283": { + "node_id": "node_283", + "content": "MODIFICATION: Increase 16 thickness by 55%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0043)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0038)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0036)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0028)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0033)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0034)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0046)]\n\nPerformance:\n Mass: 118.72 kg\n Factor of Safety: 0.67\n Max Deflection: 2.02e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 118.71587004532827, + "fos_buckling": 0.665029109150524, + "fos_yielding": 2.989595986312826, + "deflection": 0.02017659704149897, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.546)" + }, + "parent_node_id": "node_282", + "improvement_over_parent": null + }, + "node_284": { + "node_id": "node_284", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n Mass: 150.29 kg\n Factor of Safety: 0.82\n Max Deflection: 1.60e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 150.2887143502536, + "fos_buckling": 0.8205161793567987, + "fos_yielding": 3.7814048568166916, + "deflection": 0.015981712165084747, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.285)" + }, + "parent_node_id": "node_283", + "improvement_over_parent": null + }, + "node_285": { + "node_id": "node_285", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 193.01 kg\n Factor of Safety: 1.02\n Max Deflection: 1.25e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.0054743054199, + "fos_buckling": 1.016387779627661, + "fos_yielding": 4.850505537425912, + "deflection": 0.012490760849363555, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.312)" + }, + "parent_node_id": "node_284", + "improvement_over_parent": null + }, + "node_286": { + "node_id": "node_286", + "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n Mass: 201.62 kg\n Factor of Safety: 0.90\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.6159633384938, + "fos_buckling": 0.8989011716998583, + "fos_yielding": 4.853937292843491, + "deflection": 0.012401082937424734, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)" + }, + "parent_node_id": "node_285", + "improvement_over_parent": null + }, + "node_287": { + "node_id": "node_287", + "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n Mass: 204.73 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.7313412382142, + "fos_buckling": 1.5305926700635064, + "fos_yielding": 4.837577769833247, + "deflection": 0.011224954518608776, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)" + }, + "parent_node_id": "node_286", + "improvement_over_parent": null + }, + "node_288": { + "node_id": "node_288", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_287", + "improvement_over_parent": null + }, + "node_289": { + "node_id": "node_289", + "content": "INITIAL DESIGN (Trace 39)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0029)]\n\nPerformance:\n Mass: 142.67 kg\n Factor of Safety: 0.31\n Max Deflection: 1.94e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 142.66716866121357, + "fos_buckling": 0.3080413959058774, + "fos_yielding": 2.704922699754137, + "deflection": 0.019447897287746808, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_290": { + "node_id": "node_290", + "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0029)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n\nPerformance:\n Mass: 154.30 kg\n Factor of Safety: 0.40\n Max Deflection: 1.60e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 154.29607577367582, + "fos_buckling": 0.40331807893406774, + "fos_yielding": 4.109428565025099, + "deflection": 0.016007356257404227, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.005205)" + }, + "parent_node_id": "node_289", + "improvement_over_parent": null + }, + "node_291": { + "node_id": "node_291", + "content": "MODIFICATION: Increase 19 thickness by 46%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0029)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0076)]\n\nPerformance:\n Mass: 159.09 kg\n Factor of Safety: 0.41\n Max Deflection: 1.58e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.089239589943, + "fos_buckling": 0.4125786430207582, + "fos_yielding": 4.080806504056026, + "deflection": 0.015755897407637633, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(19, thickness, 1.462)" + }, + "parent_node_id": "node_290", + "improvement_over_parent": null + }, + "node_292": { + "node_id": "node_292", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0035)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0092)]\n\nPerformance:\n Mass: 190.01 kg\n Factor of Safety: 0.48\n Max Deflection: 1.32e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.0131865901291, + "fos_buckling": 0.4761458189784133, + "fos_yielding": 4.877526600343572, + "deflection": 0.013237525358428173, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.214)" + }, + "parent_node_id": "node_291", + "improvement_over_parent": null + }, + "node_293": { + "node_id": "node_293", + "content": "MODIFICATION: Increase 19 thickness by 50%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0035)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0138)]\n\nPerformance:\n Mass: 197.70 kg\n Factor of Safety: 0.48\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.702522156443, + "fos_buckling": 0.4845198641486633, + "fos_yielding": 4.784328912317376, + "deflection": 0.013077630421238018, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(19, thickness, 1.499)" + }, + "parent_node_id": "node_292", + "improvement_over_parent": null + }, + "node_294": { + "node_id": "node_294", + "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0035)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0138)]\n M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n Mass: 207.22 kg\n Factor of Safety: 1.05\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 207.21817997344334, + "fos_buckling": 1.0508256842887866, + "fos_yielding": 4.792993900060807, + "deflection": 0.011748223747627613, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.005227)" + }, + "parent_node_id": "node_293", + "improvement_over_parent": null + }, + "node_295": { + "node_id": "node_295", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_294", + "improvement_over_parent": null + }, + "node_296": { + "node_id": "node_296", + "content": "INITIAL DESIGN (Trace 40)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0031)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0043)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0040)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0038)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0033)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0031)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0035)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0033)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0034)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0029)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0045)]\n\nPerformance:\n Mass: 119.73 kg\n Factor of Safety: 0.76\n Max Deflection: 1.93e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 119.72749093695654, + "fos_buckling": 0.7644552472482009, + "fos_yielding": 3.1397870452485623, + "deflection": 0.019277924961289963, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_297": { + "node_id": "node_297", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n Mass: 139.30 kg\n Factor of Safety: 0.87\n Max Deflection: 1.66e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 139.30453703163707, + "fos_buckling": 0.8707031513676288, + "fos_yielding": 3.6528535695458, + "deflection": 0.016620137447092297, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.174)" + }, + "parent_node_id": "node_296", + "improvement_over_parent": null + }, + "node_298": { + "node_id": "node_298", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nPerformance:\n Mass: 170.85 kg\n Factor of Safety: 1.03\n Max Deflection: 1.36e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.85019974701555, + "fos_buckling": 1.0312424068436477, + "fos_yielding": 4.47939290480192, + "deflection": 0.013618963695262321, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.245)" + }, + "parent_node_id": "node_297", + "improvement_over_parent": null + }, + "node_299": { + "node_id": "node_299", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n\nPerformance:\n Mass: 177.61 kg\n Factor of Safety: 1.36\n Max Deflection: 1.29e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.60571450314302, + "fos_buckling": 1.3622688001030911, + "fos_yielding": 4.199467599884156, + "deflection": 0.012888741688259918, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004051)" + }, + "parent_node_id": "node_298", + "improvement_over_parent": null + }, + "node_300": { + "node_id": "node_300", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n Mass: 204.61 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.6055804449814, + "fos_buckling": 1.5297924377625673, + "fos_yielding": 4.834380056284687, + "deflection": 0.011232017530562107, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.167)" + }, + "parent_node_id": "node_299", + "improvement_over_parent": null + }, + "node_301": { + "node_id": "node_301", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_300", + "improvement_over_parent": null + }, + "node_302": { + "node_id": "node_302", + "content": "INITIAL DESIGN (Trace 41)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0046)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0043)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0040)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0048)]\n\nPerformance:\n Mass: 113.88 kg\n Factor of Safety: 0.15\n Max Deflection: 2.06e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 113.8849340341133, + "fos_buckling": 0.15467533000666164, + "fos_yielding": 3.3408981882381537, + "deflection": 0.02057416685543871, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_303": { + "node_id": "node_303", + "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0046)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0043)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0040)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0048)]\n M18: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n\nPerformance:\n Mass: 121.28 kg\n Factor of Safety: 0.76\n Max Deflection: 2.00e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 121.27820943484232, + "fos_buckling": 0.7570469525938355, + "fos_yielding": 3.3408981882381537, + "deflection": 0.019988359658617047, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.003584)" + }, + "parent_node_id": "node_302", + "improvement_over_parent": null + }, + "node_304": { + "node_id": "node_304", + "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0046)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0043)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0040)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0048)]\n M18: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n\nPerformance:\n Mass: 127.40 kg\n Factor of Safety: 0.81\n Max Deflection: 1.81e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 127.40102737836533, + "fos_buckling": 0.8067097808787429, + "fos_yielding": 3.3408981882381537, + "deflection": 0.018138869468671555, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.003523)" + }, + "parent_node_id": "node_303", + "improvement_over_parent": null + }, + "node_305": { + "node_id": "node_305", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0054)]\n M18: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0040)]\n M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n\nPerformance:\n Mass: 141.39 kg\n Factor of Safety: 0.88\n Max Deflection: 1.64e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 141.3910676937123, + "fos_buckling": 0.881725167942492, + "fos_yielding": 3.7075259547182147, + "deflection": 0.016380308553484428, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.117)" + }, + "parent_node_id": "node_304", + "improvement_over_parent": null + }, + "node_306": { + "node_id": "node_306", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n M18: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n\nPerformance:\n Mass: 169.38 kg\n Factor of Safety: 1.02\n Max Deflection: 1.37e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.37712252775688, + "fos_buckling": 1.0240342931229673, + "fos_yielding": 4.440795773712025, + "deflection": 0.013734256910825068, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.214)" + }, + "parent_node_id": "node_305", + "improvement_over_parent": null + }, + "node_307": { + "node_id": "node_307", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n M18: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n\nPerformance:\n Mass: 176.07 kg\n Factor of Safety: 1.35\n Max Deflection: 1.30e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.0663865617842, + "fos_buckling": 1.3524583356024378, + "fos_yielding": 4.163518807770474, + "deflection": 0.012998211644936399, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004008)" + }, + "parent_node_id": "node_306", + "improvement_over_parent": null + }, + "node_308": { + "node_id": "node_308", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n Mass: 204.76 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.75529793298045, + "fos_buckling": 1.5307474379339288, + "fos_yielding": 4.838215987963919, + "deflection": 0.011223800523292665, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.179)" + }, + "parent_node_id": "node_307", + "improvement_over_parent": null + }, + "node_309": { + "node_id": "node_309", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_308", + "improvement_over_parent": null + }, + "node_310": { + "node_id": "node_310", + "content": "INITIAL DESIGN (Trace 42)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0031)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0042)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0040)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0037)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0033)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0031)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0035)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0030)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0033)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0033)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0045)]\n\nPerformance:\n Mass: 110.14 kg\n Factor of Safety: 0.66\n Max Deflection: 1.79e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 110.14064785644892, + "fos_buckling": 0.6578197368357864, + "fos_yielding": 2.9177739615958305, + "deflection": 1788374010715.425, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_311": { + "node_id": "node_311", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0053)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0050)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0046)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0039)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0043)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0056)]\n\nPerformance:\n Mass: 135.12 kg\n Factor of Safety: 0.78\n Max Deflection: 1.48e+12 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 135.11943173959364, + "fos_buckling": 0.7772538549758092, + "fos_yielding": 3.5756411820744334, + "deflection": 1484652541740.878, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.242)" + }, + "parent_node_id": "node_310", + "improvement_over_parent": null + }, + "node_312": { + "node_id": "node_312", + "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0053)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0050)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0046)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0039)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0043)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0056)]\n M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n\nPerformance:\n Mass: 137.41 kg\n Factor of Safety: 0.78\n Max Deflection: 1.69e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 137.41225650154, + "fos_buckling": 0.7811952225638171, + "fos_yielding": 3.5759139103708044, + "deflection": 0.01692817780201456, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.002990)" + }, + "parent_node_id": "node_311", + "improvement_over_parent": null + }, + "node_313": { + "node_id": "node_313", + "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0053)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0050)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0046)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0039)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0043)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0056)]\n M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n\nPerformance:\n Mass: 143.75 kg\n Factor of Safety: 0.85\n Max Deflection: 1.67e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 143.74991506246434, + "fos_buckling": 0.847129804950283, + "fos_yielding": 3.565360706759465, + "deflection": 0.01669709740299809, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.003568)" + }, + "parent_node_id": "node_312", + "improvement_over_parent": null + }, + "node_314": { + "node_id": "node_314", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0057)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0066)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0023)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0054)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0051)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0057)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0070)]\n M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0045)]\n\nPerformance:\n Mass: 177.09 kg\n Factor of Safety: 1.01\n Max Deflection: 1.36e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.08907227600963, + "fos_buckling": 1.0100083151714216, + "fos_yielding": 4.388186321962474, + "deflection": 0.013619846352297854, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.252)" + }, + "parent_node_id": "node_313", + "improvement_over_parent": null + }, + "node_315": { + "node_id": "node_315", + "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n Mass: 195.46 kg\n Factor of Safety: 1.09\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.4564221866606, + "fos_buckling": 1.0944294793456795, + "fos_yielding": 4.8408497512330575, + "deflection": 0.012373001602391678, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.114)" + }, + "parent_node_id": "node_314", + "improvement_over_parent": null + }, + "node_316": { + "node_id": "node_316", + "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n Mass: 204.92 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.92073674871543, + "fos_buckling": 1.531634899318928, + "fos_yielding": 4.842317624409888, + "deflection": 0.011214529833454879, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)" + }, + "parent_node_id": "node_315", + "improvement_over_parent": null + }, + "node_317": { + "node_id": "node_317", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_316", + "improvement_over_parent": null + }, + "node_318": { + "node_id": "node_318", + "content": "INITIAL DESIGN (Trace 43)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0023)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0027)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0032)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0030)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0018)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0028)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0031)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0020)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0011)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0009)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0018)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0023)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0026)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0020)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0023)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0020)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0025)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0022)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0027)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0033)]\n\nPerformance:\n Mass: 87.44 kg\n Factor of Safety: 0.55\n Max Deflection: 2.72e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 87.43742703087342, + "fos_buckling": 0.5512435263893816, + "fos_yielding": 1.8066269845215874, + "deflection": 0.027193292751253453, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_319": { + "node_id": "node_319", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0030)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0041)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0038)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0036)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0026)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0023)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0030)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0033)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0026)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0029)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0026)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0032)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0043)]\n\nPerformance:\n Mass: 111.59 kg\n Factor of Safety: 0.69\n Max Deflection: 2.14e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 111.58791738841532, + "fos_buckling": 0.6874466066237385, + "fos_yielding": 2.308569734800933, + "deflection": 0.021383152879748294, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.290)" + }, + "parent_node_id": "node_318", + "improvement_over_parent": null + }, + "node_320": { + "node_id": "node_320", + "content": "MODIFICATION: Increase 15 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0030)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0041)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0038)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0036)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0026)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0023)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0030)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0033)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0026)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0029)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0031)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0032)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0043)]\n\nPerformance:\n Mass: 112.67 kg\n Factor of Safety: 0.69\n Max Deflection: 2.12e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 112.67341108242184, + "fos_buckling": 0.6873829595575562, + "fos_yielding": 2.310312625266867, + "deflection": 0.02120196619254763, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.215)" + }, + "parent_node_id": "node_319", + "improvement_over_parent": null + }, + "node_321": { + "node_id": "node_321", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0029)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n\nPerformance:\n Mass: 127.89 kg\n Factor of Safety: 0.77\n Max Deflection: 1.87e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 127.89217716974571, + "fos_buckling": 0.768931651947586, + "fos_yielding": 2.624708171259039, + "deflection": 0.018720758972231955, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.143)" + }, + "parent_node_id": "node_320", + "improvement_over_parent": null + }, + "node_322": { + "node_id": "node_322", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n Mass: 156.58 kg\n Factor of Safety: 0.92\n Max Deflection: 1.54e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 156.57815383845997, + "fos_buckling": 0.9154362357810927, + "fos_yielding": 3.219166019444957, + "deflection": 0.015355302456676668, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.241)" + }, + "parent_node_id": "node_321", + "improvement_over_parent": null + }, + "node_323": { + "node_id": "node_323", + "content": "MODIFICATION: Increase 7 thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n Mass: 157.42 kg\n Factor of Safety: 0.92\n Max Deflection: 1.53e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.42350313822902, + "fos_buckling": 0.915436235781093, + "fos_yielding": 3.902086412717579, + "deflection": 0.015277763811958726, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.236)" + }, + "parent_node_id": "node_322", + "improvement_over_parent": null + }, + "node_324": { + "node_id": "node_324", + "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n\nPerformance:\n Mass: 165.06 kg\n Factor of Safety: 1.28\n Max Deflection: 1.38e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.0566069489899, + "fos_buckling": 1.2809600883315289, + "fos_yielding": 3.903316643898691, + "deflection": 0.013843141142448697, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.004457)" + }, + "parent_node_id": "node_323", + "improvement_over_parent": null + }, + "node_325": { + "node_id": "node_325", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n Mass: 204.74 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.74305765382783, + "fos_buckling": 1.5306924490039142, + "fos_yielding": 4.83671333200079, + "deflection": 0.011224603351952273, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.264)" + }, + "parent_node_id": "node_324", + "improvement_over_parent": null + }, + "node_326": { + "node_id": "node_326", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_325", + "improvement_over_parent": null + }, + "node_327": { + "node_id": "node_327", + "content": "INITIAL DESIGN (Trace 44)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0021)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0023)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n\nPerformance:\n Mass: 122.86 kg\n Factor of Safety: 0.16\n Max Deflection: 5.34e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 122.86032317624341, + "fos_buckling": 0.15638513469244805, + "fos_yielding": 0.941473653054613, + "deflection": 0.05336284666896863, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_328": { + "node_id": "node_328", + "content": "MODIFICATION: Increase 0 thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0026)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0023)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n\nPerformance:\n Mass: 123.80 kg\n Factor of Safety: 0.16\n Max Deflection: 5.31e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 123.79557665493417, + "fos_buckling": 0.15638097746467838, + "fos_yielding": 0.9439925360873964, + "deflection": 0.05312163819974473, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.282)" + }, + "parent_node_id": "node_327", + "improvement_over_parent": null + }, + "node_329": { + "node_id": "node_329", + "content": "MODIFICATION: Increase 16 thickness by 61%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0026)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n\nPerformance:\n Mass: 126.61 kg\n Factor of Safety: 0.20\n Max Deflection: 4.98e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 126.61453320535779, + "fos_buckling": 0.19946684394088945, + "fos_yielding": 0.9433096778123001, + "deflection": 0.04984375211833242, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.610)" + }, + "parent_node_id": "node_328", + "improvement_over_parent": null + }, + "node_330": { + "node_id": "node_330", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0031)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n Mass: 148.45 kg\n Factor of Safety: 0.23\n Max Deflection: 4.26e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 148.45063569680957, + "fos_buckling": 0.22843310777433118, + "fos_yielding": 1.1030393695414895, + "deflection": 0.042633455926594496, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.185)" + }, + "parent_node_id": "node_329", + "improvement_over_parent": null + }, + "node_331": { + "node_id": "node_331", + "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0031)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n\nPerformance:\n Mass: 160.47 kg\n Factor of Safety: 1.24\n Max Deflection: 1.43e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 160.46683969467162, + "fos_buckling": 1.242090874844276, + "fos_yielding": 3.8066268205543317, + "deflection": 0.014259432653561142, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.005531)" + }, + "parent_node_id": "node_330", + "improvement_over_parent": null + }, + "node_332": { + "node_id": "node_332", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 202.89 kg\n Factor of Safety: 1.50\n Max Deflection: 1.13e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.88738845090165, + "fos_buckling": 1.4971124292858664, + "fos_yielding": 4.807142927332298, + "deflection": 0.011347533150754176, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.290)" + }, + "parent_node_id": "node_331", + "improvement_over_parent": null + }, + "node_333": { + "node_id": "node_333", + "content": "MODIFICATION: Increase 0 thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 204.87 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.87493380754836, + "fos_buckling": 1.531483479408859, + "fos_yielding": 4.8410694662538, + "deflection": 0.011218173898306759, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.332)" + }, + "parent_node_id": "node_332", + "improvement_over_parent": null + }, + "node_334": { + "node_id": "node_334", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_333", + "improvement_over_parent": null + }, + "node_335": { + "node_id": "node_335", + "content": "INITIAL DESIGN (Trace 45)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n\nPerformance:\n Mass: 151.25 kg\n Factor of Safety: 0.68\n Max Deflection: 1.68e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 151.2480333928218, + "fos_buckling": 0.6830643904761116, + "fos_yielding": 3.7471882017990463, + "deflection": 0.016842449687683225, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_336": { + "node_id": "node_336", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0057)]\n\nPerformance:\n Mass: 173.48 kg\n Factor of Safety: 0.77\n Max Deflection: 1.47e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.47658325836093, + "fos_buckling": 0.7690356588011774, + "fos_yielding": 4.294055157356238, + "deflection": 0.01470798947159572, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.159)" + }, + "parent_node_id": "node_335", + "improvement_over_parent": null + }, + "node_337": { + "node_id": "node_337", + "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0057)]\n M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n\nPerformance:\n Mass: 176.23 kg\n Factor of Safety: 1.25\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.22925215542256, + "fos_buckling": 1.2535641348966566, + "fos_yielding": 4.279134677180752, + "deflection": 0.013262023891715154, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003640)" + }, + "parent_node_id": "node_336", + "improvement_over_parent": null + }, + "node_338": { + "node_id": "node_338", + "content": "MODIFICATION: Increase 20 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0057)]\n M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0043)]\n\nPerformance:\n Mass: 176.68 kg\n Factor of Safety: 1.26\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.6812833997365, + "fos_buckling": 1.2622077772010927, + "fos_yielding": 4.278816103928481, + "deflection": 0.013256939107766926, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(20, thickness, 1.181)" + }, + "parent_node_id": "node_337", + "improvement_over_parent": null + }, + "node_339": { + "node_id": "node_339", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0049)]\n\nPerformance:\n Mass: 199.89 kg\n Factor of Safety: 1.40\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.88838508698797, + "fos_buckling": 1.4021765203997703, + "fos_yielding": 4.83655894888247, + "deflection": 0.011753313648686684, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.144)" + }, + "parent_node_id": "node_338", + "improvement_over_parent": null + }, + "node_340": { + "node_id": "node_340", + "content": "MODIFICATION: Increase 6 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0049)]\n\nPerformance:\n Mass: 202.19 kg\n Factor of Safety: 1.40\n Max Deflection: 1.14e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.1877374947287, + "fos_buckling": 1.3996808421235973, + "fos_yielding": 4.834914292478586, + "deflection": 0.011376171232381223, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.196)" + }, + "parent_node_id": "node_339", + "improvement_over_parent": null + }, + "node_341": { + "node_id": "node_341", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_340", + "improvement_over_parent": null + }, + "node_342": { + "node_id": "node_342", + "content": "INITIAL DESIGN (Trace 46)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n\nPerformance:\n Mass: 141.18 kg\n Factor of Safety: 0.18\n Max Deflection: 1.58e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 141.17877772605223, + "fos_buckling": 0.182541397364828, + "fos_yielding": 4.034764876932082, + "deflection": 0.015806797618809005, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_343": { + "node_id": "node_343", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n\nPerformance:\n Mass: 147.26 kg\n Factor of Safety: 0.20\n Max Deflection: 1.53e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 147.25868264996032, + "fos_buckling": 0.20107174027159366, + "fos_yielding": 3.7508378632924693, + "deflection": 0.01525465926735898, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003616)" + }, + "parent_node_id": "node_342", + "improvement_over_parent": null + }, + "node_344": { + "node_id": "node_344", + "content": "MODIFICATION: Increase 19 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0044)]\n\nPerformance:\n Mass: 148.42 kg\n Factor of Safety: 0.20\n Max Deflection: 1.52e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 148.42477341506986, + "fos_buckling": 0.20206195166161786, + "fos_yielding": 3.7378488524083866, + "deflection": 0.015228692958516254, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(19, thickness, 1.209)" + }, + "parent_node_id": "node_343", + "improvement_over_parent": null + }, + "node_345": { + "node_id": "node_345", + "content": "MODIFICATION: Increase 0 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0044)]\n\nPerformance:\n Mass: 149.54 kg\n Factor of Safety: 0.20\n Max Deflection: 1.52e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 149.54009872426442, + "fos_buckling": 0.2006905080520883, + "fos_yielding": 3.755298505467929, + "deflection": 0.015181010084821785, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.215)" + }, + "parent_node_id": "node_344", + "improvement_over_parent": null + }, + "node_346": { + "node_id": "node_346", + "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0044)]\n M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n\nPerformance:\n Mass: 158.47 kg\n Factor of Safety: 1.11\n Max Deflection: 1.45e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 158.4688155691255, + "fos_buckling": 1.1072107098013755, + "fos_yielding": 3.7723755860888675, + "deflection": 0.01446369009831156, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004382)" + }, + "parent_node_id": "node_345", + "improvement_over_parent": null + }, + "node_347": { + "node_id": "node_347", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0057)]\n M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n Mass: 202.81 kg\n Factor of Safety: 1.37\n Max Deflection: 1.14e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.8117745383419, + "fos_buckling": 1.371672952853446, + "fos_yielding": 4.821716891783564, + "deflection": 0.011372145478154353, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.307)" + }, + "parent_node_id": "node_346", + "improvement_over_parent": null + }, + "node_348": { + "node_id": "node_348", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_347", + "improvement_over_parent": null + }, + "node_349": { + "node_id": "node_349", + "content": "INITIAL DESIGN (Trace 47)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0030)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0008)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n Mass: 127.85 kg\n Factor of Safety: 0.82\n Max Deflection: 1.87e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 127.85125460378728, + "fos_buckling": 0.8167331121568912, + "fos_yielding": 3.6425782368834825, + "deflection": 0.018658365378888757, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_350": { + "node_id": "node_350", + "content": "MODIFICATION: Increase 0 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0008)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n Mass: 128.93 kg\n Factor of Safety: 0.82\n Max Deflection: 1.84e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 128.93184186467585, + "fos_buckling": 0.8167080623928682, + "fos_yielding": 3.6425782368834825, + "deflection": 0.018366373715146628, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.232)" + }, + "parent_node_id": "node_349", + "improvement_over_parent": null + }, + "node_351": { + "node_id": "node_351", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n Mass: 151.43 kg\n Factor of Safety: 0.94\n Max Deflection: 1.57e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 151.42711111566047, + "fos_buckling": 0.9371005633471062, + "fos_yielding": 4.277588101829397, + "deflection": 0.015695695006905572, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.188)" + }, + "parent_node_id": "node_350", + "improvement_over_parent": null + }, + "node_352": { + "node_id": "node_352", + "content": "MODIFICATION: Increase 10 thickness by 65%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n Mass: 151.65 kg\n Factor of Safety: 0.94\n Max Deflection: 1.57e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 151.65046688661758, + "fos_buckling": 0.9370768481598333, + "fos_yielding": 4.277588101829397, + "deflection": 0.01568797553641365, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.650)" + }, + "parent_node_id": "node_351", + "improvement_over_parent": null + }, + "node_353": { + "node_id": "node_353", + "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n\nPerformance:\n Mass: 163.15 kg\n Factor of Safety: 0.99\n Max Deflection: 1.42e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.14680410119638, + "fos_buckling": 0.9932430394250571, + "fos_yielding": 4.277588101829397, + "deflection": 0.014243881359638194, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.005141)" + }, + "parent_node_id": "node_352", + "improvement_over_parent": null + }, + "node_354": { + "node_id": "node_354", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n\nPerformance:\n Mass: 169.59 kg\n Factor of Safety: 1.31\n Max Deflection: 1.35e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.5885254320743, + "fos_buckling": 1.310512180591219, + "fos_yielding": 4.0111896991289875, + "deflection": 0.013481562455792998, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003848)" + }, + "parent_node_id": "node_353", + "improvement_over_parent": null + }, + "node_355": { + "node_id": "node_355", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n Mass: 204.95 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.94763957984503, + "fos_buckling": 1.5318136396684947, + "fos_yielding": 4.842924712033654, + "deflection": 0.011213264828427221, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.229)" + }, + "parent_node_id": "node_354", + "improvement_over_parent": null + }, + "node_356": { + "node_id": "node_356", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_355", + "improvement_over_parent": null + }, + "node_357": { + "node_id": "node_357", + "content": "INITIAL DESIGN (Trace 48)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0038)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n Mass: 145.36 kg\n Factor of Safety: 0.57\n Max Deflection: 1.71e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 145.3555647303389, + "fos_buckling": 0.56763666569924, + "fos_yielding": 2.1272471687927155, + "deflection": 0.01707854259602154, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_358": { + "node_id": "node_358", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0038)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n\nPerformance:\n Mass: 154.15 kg\n Factor of Safety: 0.84\n Max Deflection: 1.40e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 154.1480245504354, + "fos_buckling": 0.8375081478324593, + "fos_yielding": 3.869208758174855, + "deflection": 0.014005528106464358, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.004402)" + }, + "parent_node_id": "node_357", + "improvement_over_parent": null + }, + "node_359": { + "node_id": "node_359", + "content": "MODIFICATION: Increase 5 thickness by 34%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n\nPerformance:\n Mass: 156.52 kg\n Factor of Safety: 0.84\n Max Deflection: 1.35e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 156.51813847197562, + "fos_buckling": 0.8380265251648571, + "fos_yielding": 3.8750769237205924, + "deflection": 0.013506842104066004, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.335)" + }, + "parent_node_id": "node_358", + "improvement_over_parent": null + }, + "node_360": { + "node_id": "node_360", + "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n\nPerformance:\n Mass: 163.39 kg\n Factor of Safety: 1.27\n Max Deflection: 1.40e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.39137561075273, + "fos_buckling": 1.2699702732870233, + "fos_yielding": 3.865030026467871, + "deflection": 0.013980997235468735, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.003892)" + }, + "parent_node_id": "node_359", + "improvement_over_parent": null + }, + "node_361": { + "node_id": "node_361", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n Mass: 204.62 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.61778630043096, + "fos_buckling": 1.5299110293571325, + "fos_yielding": 4.834896697576283, + "deflection": 0.01123140975857039, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.277)" + }, + "parent_node_id": "node_360", + "improvement_over_parent": null + }, + "node_362": { + "node_id": "node_362", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_361", + "improvement_over_parent": null + }, + "node_363": { + "node_id": "node_363", + "content": "INITIAL DESIGN (Trace 49)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0028)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0049)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0027)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0029)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0052)]\n\nPerformance:\n Mass: 128.32 kg\n Factor of Safety: 0.54\n Max Deflection: 1.65e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 128.31736054375727, + "fos_buckling": 0.5416914582042118, + "fos_yielding": 3.3842660744057658, + "deflection": 0.016525514708167127, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_364": { + "node_id": "node_364", + "content": "MODIFICATION: Increase 1 thickness by 52%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0049)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0027)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0029)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0052)]\n\nPerformance:\n Mass: 131.05 kg\n Factor of Safety: 0.54\n Max Deflection: 1.61e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 131.05251312862464, + "fos_buckling": 0.54207787129389, + "fos_yielding": 3.3768538504368317, + "deflection": 0.016118429018837598, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.524)" + }, + "parent_node_id": "node_363", + "improvement_over_parent": null + }, + "node_365": { + "node_id": "node_365", + "content": "MODIFICATION: Increase 18 thickness by 46%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0049)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0027)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0052)]\n\nPerformance:\n Mass: 133.98 kg\n Factor of Safety: 0.54\n Max Deflection: 1.59e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 133.97859246145006, + "fos_buckling": 0.5419400125420434, + "fos_yielding": 3.376783965169774, + "deflection": 0.015852129098731033, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(18, thickness, 1.462)" + }, + "parent_node_id": "node_364", + "improvement_over_parent": null + }, + "node_366": { + "node_id": "node_366", + "content": "MODIFICATION: Increase 17 thickness by 44%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0049)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0052)]\n\nPerformance:\n Mass: 136.32 kg\n Factor of Safety: 0.74\n Max Deflection: 1.55e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 136.3173697734766, + "fos_buckling": 0.7421485972903736, + "fos_yielding": 3.3766164017866727, + "deflection": 0.015477326900147602, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.443)" + }, + "parent_node_id": "node_365", + "improvement_over_parent": null + }, + "node_367": { + "node_id": "node_367", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n Mass: 152.09 kg\n Factor of Safety: 0.82\n Max Deflection: 1.39e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 152.08787714858593, + "fos_buckling": 0.8174876496062111, + "fos_yielding": 3.7656376835034213, + "deflection": 0.013894185681912214, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.124)" + }, + "parent_node_id": "node_366", + "improvement_over_parent": null + }, + "node_368": { + "node_id": "node_368", + "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n\nPerformance:\n Mass: 158.76 kg\n Factor of Safety: 1.24\n Max Deflection: 1.44e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 158.76352694185437, + "fos_buckling": 1.2392746404824795, + "fos_yielding": 3.755889343923197, + "deflection": 0.014378725039837052, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.003772)" + }, + "parent_node_id": "node_367", + "improvement_over_parent": null + }, + "node_369": { + "node_id": "node_369", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n Mass: 204.76 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.75765684191904, + "fos_buckling": 1.5307394693975163, + "fos_yielding": 4.8380142891084414, + "deflection": 0.011223910116525973, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.318)" + }, + "parent_node_id": "node_368", + "improvement_over_parent": null + }, + "node_370": { + "node_id": "node_370", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_369", + "improvement_over_parent": null + }, + "node_371": { + "node_id": "node_371", + "content": "INITIAL DESIGN (Trace 50)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0020)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0024)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0027)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0026)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0016)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0024)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0027)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0021)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0021)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0009)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0016)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0020)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0022)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0018)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0015)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0021)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0021)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0019)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0024)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0029)]\n\nPerformance:\n Mass: 79.66 kg\n Factor of Safety: 0.64\n Max Deflection: 2.82e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 79.65876726586487, + "fos_buckling": 0.6441633551183461, + "fos_yielding": 1.9186535578986326, + "deflection": 0.028238975835912502, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_372": { + "node_id": "node_372", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0020)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0024)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0027)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0026)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0016)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0024)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0027)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0021)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0021)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0009)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0016)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0020)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0022)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0018)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0015)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0021)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0021)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0019)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0024)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0029)]\n M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0007)]\n\nPerformance:\n Mass: 79.94 kg\n Factor of Safety: 0.62\n Max Deflection: 2.81e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 79.9413878249677, + "fos_buckling": 0.6171252726315399, + "fos_yielding": 1.9176741619836786, + "deflection": 0.028050725685660423, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.000746)" + }, + "parent_node_id": "node_371", + "improvement_over_parent": null + }, + "node_373": { + "node_id": "node_373", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0025)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0029)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0034)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0032)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0020)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0030)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0033)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0026)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0027)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0012)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0019)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0025)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0028)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0022)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0019)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0026)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0027)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0023)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0029)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0036)]\n M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0009)]\n\nPerformance:\n Mass: 99.13 kg\n Factor of Safety: 0.76\n Max Deflection: 2.27e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 99.13123201722735, + "fos_buckling": 0.7557760974005931, + "fos_yielding": 2.376608388072344, + "deflection": 0.022685317582067398, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.250)" + }, + "parent_node_id": "node_372", + "improvement_over_parent": null + }, + "node_374": { + "node_id": "node_374", + "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0028)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0038)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0036)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0022)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0034)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0037)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0029)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0030)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0022)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0028)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0031)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0025)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0021)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0029)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0030)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0026)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0040)]\n M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n\nPerformance:\n Mass: 109.93 kg\n Factor of Safety: 0.83\n Max Deflection: 2.05e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 109.92706412211777, + "fos_buckling": 0.832167545497046, + "fos_yielding": 2.6345549739693266, + "deflection": 0.02049023212109907, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.114)" + }, + "parent_node_id": "node_373", + "improvement_over_parent": null + }, + "node_375": { + "node_id": "node_375", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0026)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n\nPerformance:\n Mass: 136.99 kg\n Factor of Safety: 1.02\n Max Deflection: 1.65e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 136.9934606868533, + "fos_buckling": 1.0185946988656012, + "fos_yielding": 3.2804896618113957, + "deflection": 0.016507951429948833, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.261)" + }, + "parent_node_id": "node_374", + "improvement_over_parent": null + }, + "node_376": { + "node_id": "node_376", + "content": "MODIFICATION: Increase 15 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0026)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n\nPerformance:\n Mass: 139.14 kg\n Factor of Safety: 1.09\n Max Deflection: 1.63e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 139.1416577751869, + "fos_buckling": 1.0911169289362017, + "fos_yielding": 3.2833468918320046, + "deflection": 0.016305200645676202, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.312)" + }, + "parent_node_id": "node_375", + "improvement_over_parent": null + }, + "node_377": { + "node_id": "node_377", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0061)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n\nPerformance:\n Mass: 172.52 kg\n Factor of Safety: 1.32\n Max Deflection: 1.32e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.5186316225274, + "fos_buckling": 1.3163296472387913, + "fos_yielding": 4.068095299668126, + "deflection": 0.01321511053345923, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.259)" + }, + "parent_node_id": "node_376", + "improvement_over_parent": null + }, + "node_378": { + "node_id": "node_378", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0074)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n Mass: 205.31 kg\n Factor of Safety: 1.52\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 205.30691315257616, + "fos_buckling": 1.5153290560188164, + "fos_yielding": 4.837991384432319, + "deflection": 0.011157781479064072, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.209)" + }, + "parent_node_id": "node_377", + "improvement_over_parent": null + }, + "node_379": { + "node_id": "node_379", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_378", + "improvement_over_parent": null + }, + "node_380": { + "node_id": "node_380", + "content": "INITIAL DESIGN (Trace 51)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n Mass: 152.68 kg\n Factor of Safety: 0.82\n Max Deflection: 1.38e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 152.68386908667526, + "fos_buckling": 0.8200582783141409, + "fos_yielding": 3.7805027372811217, + "deflection": 0.013840705240123955, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_381": { + "node_id": "node_381", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n Mass: 173.38 kg\n Factor of Safety: 0.92\n Max Deflection: 1.22e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.3824144219232, + "fos_buckling": 0.9154627267951341, + "fos_yielding": 4.290584433247505, + "deflection": 0.012213435709102667, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.147)" + }, + "parent_node_id": "node_380", + "improvement_over_parent": null + }, + "node_382": { + "node_id": "node_382", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 196.11 kg\n Factor of Safety: 1.02\n Max Deflection: 1.08e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.10521410889868, + "fos_buckling": 1.0158052294264217, + "fos_yielding": 4.849888485864039, + "deflection": 0.010822568963952504, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.144)" + }, + "parent_node_id": "node_381", + "improvement_over_parent": null + }, + "node_383": { + "node_id": "node_383", + "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n Mass: 204.72 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.71570314197257, + "fos_buckling": 1.5304940476553035, + "fos_yielding": 4.8371749431119655, + "deflection": 0.011225909162418592, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)" + }, + "parent_node_id": "node_382", + "improvement_over_parent": null + }, + "node_384": { + "node_id": "node_384", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_383", + "improvement_over_parent": null + }, + "node_385": { + "node_id": "node_385", + "content": "INITIAL DESIGN (Trace 52)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0025)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0030)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0035)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0033)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0020)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0031)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0034)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0027)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0027)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0012)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0009)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0020)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0025)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0028)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0025)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0027)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0027)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0024)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0030)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0037)]\n\nPerformance:\n Mass: 97.62 kg\n Factor of Safety: 0.64\n Max Deflection: 2.36e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 97.62279590479719, + "fos_buckling": 0.6382951787451678, + "fos_yielding": 2.5603653622023455, + "deflection": 0.02356017123989929, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_386": { + "node_id": "node_386", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0044)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0039)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0034)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0036)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0034)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0046)]\n\nPerformance:\n Mass: 122.33 kg\n Factor of Safety: 0.78\n Max Deflection: 1.89e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 122.33267844052621, + "fos_buckling": 0.7788896248113193, + "fos_yielding": 3.2080679993640433, + "deflection": 0.01887517560363045, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.267)" + }, + "parent_node_id": "node_385", + "improvement_over_parent": null + }, + "node_387": { + "node_id": "node_387", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0044)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0039)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0034)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0036)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0034)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0046)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0028)]\n\nPerformance:\n Mass: 127.17 kg\n Factor of Safety: 1.02\n Max Deflection: 1.79e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 127.16952245085959, + "fos_buckling": 1.0216282079111492, + "fos_yielding": 3.0109896120644106, + "deflection": 0.017867980318650296, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.002835)" + }, + "parent_node_id": "node_386", + "improvement_over_parent": null + }, + "node_388": { + "node_id": "node_388", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n\nPerformance:\n Mass: 158.74 kg\n Factor of Safety: 1.24\n Max Deflection: 1.44e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 158.74496391871676, + "fos_buckling": 1.2391266086843165, + "fos_yielding": 3.7554194821792786, + "deflection": 0.014380364166048867, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.266)" + }, + "parent_node_id": "node_387", + "improvement_over_parent": null + }, + "node_389": { + "node_id": "node_389", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n Mass: 204.73 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.73431725614515, + "fos_buckling": 1.530569800365378, + "fos_yielding": 4.837423967707057, + "deflection": 0.011225149011229155, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.318)" + }, + "parent_node_id": "node_388", + "improvement_over_parent": null + }, + "node_390": { + "node_id": "node_390", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_389", + "improvement_over_parent": null + }, + "node_391": { + "node_id": "node_391", + "content": "INITIAL DESIGN (Trace 53)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0048)]\n\nPerformance:\n Mass: 181.30 kg\n Factor of Safety: 0.74\n Max Deflection: 1.51e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.3026910994322, + "fos_buckling": 0.7429654717144001, + "fos_yielding": 4.320084680678664, + "deflection": 0.015069302518959748, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_392": { + "node_id": "node_392", + "content": "MODIFICATION: Increase 3 thickness by 47%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0048)]\n\nPerformance:\n Mass: 185.58 kg\n Factor of Safety: 0.74\n Max Deflection: 1.40e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.58473845307412, + "fos_buckling": 0.7426958471520071, + "fos_yielding": 4.318516908035286, + "deflection": 0.013978787589141362, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.473)" + }, + "parent_node_id": "node_391", + "improvement_over_parent": null + }, + "node_393": { + "node_id": "node_393", + "content": "MODIFICATION: Increase 19 thickness by 62%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 193.13 kg\n Factor of Safety: 1.09\n Max Deflection: 1.25e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.13290929379906, + "fos_buckling": 1.092713288313989, + "fos_yielding": 4.799175769844126, + "deflection": 0.012525638456960997, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(19, thickness, 1.623)" + }, + "parent_node_id": "node_392", + "improvement_over_parent": null + }, + "node_394": { + "node_id": "node_394", + "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n Mass: 202.60 kg\n Factor of Safety: 1.49\n Max Deflection: 1.14e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.59722385585388, + "fos_buckling": 1.4852095261369596, + "fos_yielding": 4.800517099540743, + "deflection": 0.01136576354552528, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)" + }, + "parent_node_id": "node_393", + "improvement_over_parent": null + }, + "node_395": { + "node_id": "node_395", + "content": "MODIFICATION: Increase 0 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.69623770554875, + "fos_buckling": 1.5294254808473966, + "fos_yielding": 4.836843451197473, + "deflection": 0.011226925861708198, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.357)" + }, + "parent_node_id": "node_394", + "improvement_over_parent": null + }, + "node_396": { + "node_id": "node_396", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_395", + "improvement_over_parent": null + }, + "node_397": { + "node_id": "node_397", + "content": "INITIAL DESIGN (Trace 54)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0044)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0018)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0039)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0034)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0036)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0028)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0034)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0046)]\n\nPerformance:\n Mass: 126.56 kg\n Factor of Safety: 0.93\n Max Deflection: 1.79e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 126.56202065782593, + "fos_buckling": 0.9282064412125903, + "fos_yielding": 3.0321145170442088, + "deflection": 0.0179075624237374, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_398": { + "node_id": "node_398", + "content": "MODIFICATION: Increase 4 thickness by 38%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0044)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0039)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0034)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0036)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0028)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0034)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0046)]\n\nPerformance:\n Mass: 127.44 kg\n Factor of Safety: 1.02\n Max Deflection: 1.78e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 127.44253352273917, + "fos_buckling": 1.0235834702798083, + "fos_yielding": 3.0174966623221673, + "deflection": 0.017830261459528325, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.383)" + }, + "parent_node_id": "node_397", + "improvement_over_parent": null + }, + "node_399": { + "node_id": "node_399", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n\nPerformance:\n Mass: 158.14 kg\n Factor of Safety: 1.24\n Max Deflection: 1.44e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 158.1427292535676, + "fos_buckling": 1.2351269108111111, + "fos_yielding": 3.741312590983533, + "deflection": 0.014433730537737844, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.258)" + }, + "parent_node_id": "node_398", + "improvement_over_parent": null + }, + "node_400": { + "node_id": "node_400", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.96 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.9617857856994, + "fos_buckling": 1.5319548737837974, + "fos_yielding": 4.84287020943556, + "deflection": 0.011212968825775224, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.325)" + }, + "parent_node_id": "node_399", + "improvement_over_parent": null + }, + "node_401": { + "node_id": "node_401", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_400", + "improvement_over_parent": null + }, + "node_402": { + "node_id": "node_402", + "content": "INITIAL DESIGN (Trace 55)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0026)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0049)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0046)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0028)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0040)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0029)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0052)]\n\nPerformance:\n Mass: 137.94 kg\n Factor of Safety: 0.97\n Max Deflection: 1.66e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 137.93583174844105, + "fos_buckling": 0.9721345763223687, + "fos_yielding": 3.063637694042281, + "deflection": 0.016562687825044047, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_403": { + "node_id": "node_403", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0031)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n Mass: 160.30 kg\n Factor of Safety: 1.11\n Max Deflection: 1.43e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 160.302159433891, + "fos_buckling": 1.1141540122551954, + "fos_yielding": 3.56434519238852, + "deflection": 0.014297084173390737, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.174)" + }, + "parent_node_id": "node_402", + "improvement_over_parent": null + }, + "node_404": { + "node_id": "node_404", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 199.23 kg\n Factor of Safety: 1.35\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.22871268548948, + "fos_buckling": 1.3508500886055281, + "fos_yielding": 4.439345063180593, + "deflection": 0.011567015086809043, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.266)" + }, + "parent_node_id": "node_403", + "improvement_over_parent": null + }, + "node_405": { + "node_id": "node_405", + "content": "MODIFICATION: Increase 12 thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 200.32 kg\n Factor of Safety: 1.46\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.32353837148008, + "fos_buckling": 1.4646172975874714, + "fos_yielding": 4.799360031975048, + "deflection": 0.011500132027748827, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.294)" + }, + "parent_node_id": "node_404", + "improvement_over_parent": null + }, + "node_406": { + "node_id": "node_406", + "content": "MODIFICATION: Increase 16 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 202.74 kg\n Factor of Safety: 1.48\n Max Deflection: 1.14e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.74401590867961, + "fos_buckling": 1.4844417191690888, + "fos_yielding": 4.80387862320872, + "deflection": 0.011358383490927463, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.309)" + }, + "parent_node_id": "node_405", + "improvement_over_parent": null + }, + "node_407": { + "node_id": "node_407", + "content": "MODIFICATION: Increase 0 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.86 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.86254211697943, + "fos_buckling": 1.5313822382746913, + "fos_yielding": 4.840613563591949, + "deflection": 0.011218192025693253, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.361)" + }, + "parent_node_id": "node_406", + "improvement_over_parent": null + }, + "node_408": { + "node_id": "node_408", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_407", + "improvement_over_parent": null + }, + "node_409": { + "node_id": "node_409", + "content": "INITIAL DESIGN (Trace 56)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n\nPerformance:\n Mass: 166.02 kg\n Factor of Safety: 0.61\n Max Deflection: 1.67e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.01647405232313, + "fos_buckling": 0.6099116768547507, + "fos_yielding": 2.296320431636288, + "deflection": 0.01671992743675832, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_410": { + "node_id": "node_410", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n\nPerformance:\n Mass: 175.61 kg\n Factor of Safety: 0.80\n Max Deflection: 1.42e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.61300362691824, + "fos_buckling": 0.8002882465595007, + "fos_yielding": 4.230827885372653, + "deflection": 0.01420547371459597, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.004838)" + }, + "parent_node_id": "node_409", + "improvement_over_parent": null + }, + "node_411": { + "node_id": "node_411", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n\nPerformance:\n Mass: 201.67 kg\n Factor of Safety: 0.90\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.66716824867228, + "fos_buckling": 0.899101210546091, + "fos_yielding": 4.855083958510821, + "deflection": 0.012398129368030194, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.163)" + }, + "parent_node_id": "node_410", + "improvement_over_parent": null + }, + "node_412": { + "node_id": "node_412", + "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n Mass: 204.78 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.7825461483927, + "fos_buckling": 1.5308662119924499, + "fos_yielding": 4.838719815468758, + "deflection": 0.011222415541008127, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)" + }, + "parent_node_id": "node_411", + "improvement_over_parent": null + }, + "node_413": { + "node_id": "node_413", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_412", + "improvement_over_parent": null + }, + "node_414": { + "node_id": "node_414", + "content": "INITIAL DESIGN (Trace 57)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 170.95 kg\n Factor of Safety: 0.34\n Max Deflection: 3.25e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.95471198329057, + "fos_buckling": 0.3383027768286483, + "fos_yielding": 1.9016851022258818, + "deflection": 0.03248145440994963, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_415": { + "node_id": "node_415", + "content": "MODIFICATION: Increase 5 thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 174.49 kg\n Factor of Safety: 0.34\n Max Deflection: 3.16e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.4898254832485, + "fos_buckling": 0.33800222736645674, + "fos_yielding": 1.9989489710104285, + "deflection": 0.03159097996656489, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.333)" + }, + "parent_node_id": "node_414", + "improvement_over_parent": null + }, + "node_416": { + "node_id": "node_416", + "content": "MODIFICATION: Increase 1 thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 177.17 kg\n Factor of Safety: 0.34\n Max Deflection: 2.98e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.16965631640608, + "fos_buckling": 0.3377747482204411, + "fos_yielding": 1.9970392386987779, + "deflection": 0.029824131790704287, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.319)" + }, + "parent_node_id": "node_415", + "improvement_over_parent": null + }, + "node_417": { + "node_id": "node_417", + "content": "MODIFICATION: Increase 16 thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 178.88 kg\n Factor of Safety: 0.34\n Max Deflection: 2.98e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.8789441101661, + "fos_buckling": 0.33762981410366943, + "fos_yielding": 2.0772732195231054, + "deflection": 0.029786134877504717, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.272)" + }, + "parent_node_id": "node_416", + "improvement_over_parent": null + }, + "node_418": { + "node_id": "node_418", + "content": "MODIFICATION: Increase 4 thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 179.66 kg\n Factor of Safety: 0.34\n Max Deflection: 2.95e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.66110289868024, + "fos_buckling": 0.3376077180712035, + "fos_yielding": 2.0770736231504974, + "deflection": 0.02952124979251619, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.190)" + }, + "parent_node_id": "node_417", + "improvement_over_parent": null + }, + "node_419": { + "node_id": "node_419", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n Mass: 192.15 kg\n Factor of Safety: 0.45\n Max Deflection: 1.44e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.148909975697, + "fos_buckling": 0.44742028789899496, + "fos_yielding": 4.134774264052633, + "deflection": 0.014358943413601265, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.006468)" + }, + "parent_node_id": "node_418", + "improvement_over_parent": null + }, + "node_420": { + "node_id": "node_420", + "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 204.69 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.6879023156663, + "fos_buckling": 1.530397389479883, + "fos_yielding": 4.836859717690951, + "deflection": 0.0112273792302346, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)" + }, + "parent_node_id": "node_419", + "improvement_over_parent": null + }, + "node_421": { + "node_id": "node_421", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_420", + "improvement_over_parent": null + }, + "node_422": { + "node_id": "node_422", + "content": "INITIAL DESIGN (Trace 58)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0033)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0032)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n\nPerformance:\n Mass: 162.64 kg\n Factor of Safety: 1.06\n Max Deflection: 1.39e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.64213055785683, + "fos_buckling": 1.0604346960290778, + "fos_yielding": 3.7542031591154252, + "deflection": 0.013914004798000014, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_423": { + "node_id": "node_423", + "content": "MODIFICATION: Increase 19 thickness by 60%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0033)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n\nPerformance:\n Mass: 166.79 kg\n Factor of Safety: 1.06\n Max Deflection: 1.37e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.7947408523782, + "fos_buckling": 1.0598324586936259, + "fos_yielding": 3.6306803472941254, + "deflection": 0.013740831820338832, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(19, thickness, 1.600)" + }, + "parent_node_id": "node_422", + "improvement_over_parent": null + }, + "node_424": { + "node_id": "node_424", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0040)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 199.81 kg\n Factor of Safety: 1.24\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.8128473308514, + "fos_buckling": 1.241816028480524, + "fos_yielding": 4.358712274412759, + "deflection": 0.011524755140011675, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.217)" + }, + "parent_node_id": "node_423", + "improvement_over_parent": null + }, + "node_425": { + "node_id": "node_425", + "content": "MODIFICATION: Increase 13 thickness by 49%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 203.72 kg\n Factor of Safety: 1.33\n Max Deflection: 1.13e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.7166500973862, + "fos_buckling": 1.329687324652534, + "fos_yielding": 4.358309244546577, + "deflection": 0.011290128467018408, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.495)" + }, + "parent_node_id": "node_424", + "improvement_over_parent": null + }, + "node_426": { + "node_id": "node_426", + "content": "MODIFICATION: Increase 12 thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.89 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.88923346231866, + "fos_buckling": 1.531521598899279, + "fos_yielding": 4.841080502162154, + "deflection": 0.011216939758079032, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.321)" + }, + "parent_node_id": "node_425", + "improvement_over_parent": null + }, + "node_427": { + "node_id": "node_427", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_426", + "improvement_over_parent": null + }, + "node_428": { + "node_id": "node_428", + "content": "INITIAL DESIGN (Trace 59)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0039)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0031)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n Mass: 174.56 kg\n Factor of Safety: 1.11\n Max Deflection: 1.36e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.56022075695293, + "fos_buckling": 1.1086517705153824, + "fos_yielding": 4.264374232225194, + "deflection": 0.013578959115024818, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_429": { + "node_id": "node_429", + "content": "MODIFICATION: Increase 7 thickness by 61%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0039)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n Mass: 177.57 kg\n Factor of Safety: 1.11\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.57010442343628, + "fos_buckling": 1.1074577741163785, + "fos_yielding": 4.264451589746838, + "deflection": 0.013432678245930332, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.610)" + }, + "parent_node_id": "node_428", + "improvement_over_parent": null + }, + "node_430": { + "node_id": "node_430", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 201.04 kg\n Factor of Safety: 1.23\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.03821285237998, + "fos_buckling": 1.23421158745782, + "fos_yielding": 4.824332555197493, + "deflection": 0.011899004098960709, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.145)" + }, + "parent_node_id": "node_429", + "improvement_over_parent": null + }, + "node_431": { + "node_id": "node_431", + "content": "MODIFICATION: Increase 5 thickness by 43%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.56 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.55850499439885, + "fos_buckling": 1.5294944582967362, + "fos_yielding": 4.833534771941319, + "deflection": 0.01123417588697517, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.431)" + }, + "parent_node_id": "node_430", + "improvement_over_parent": null + }, + "node_432": { + "node_id": "node_432", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_431", + "improvement_over_parent": null + }, + "node_433": { + "node_id": "node_433", + "content": "INITIAL DESIGN (Trace 60)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0032)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nPerformance:\n Mass: 166.30 kg\n Factor of Safety: 1.34\n Max Deflection: 1.40e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.29853335109, + "fos_buckling": 1.339657538214744, + "fos_yielding": 4.2348134082313935, + "deflection": 0.014013450196429965, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_434": { + "node_id": "node_434", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0032)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n\nPerformance:\n Mass: 166.92 kg\n Factor of Safety: 1.32\n Max Deflection: 1.40e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.92081333405895, + "fos_buckling": 1.3175918292181892, + "fos_yielding": 4.233743177671107, + "deflection": 0.013969274057008124, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001714)" + }, + "parent_node_id": "node_433", + "improvement_over_parent": null + }, + "node_435": { + "node_id": "node_435", + "content": "MODIFICATION: Increase 18 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0032)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0064)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n\nPerformance:\n Mass: 168.92 kg\n Factor of Safety: 1.31\n Max Deflection: 1.39e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 168.91708279209968, + "fos_buckling": 1.3133022878386262, + "fos_yielding": 4.233734505227696, + "deflection": 0.01391421069999323, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(18, thickness, 1.182)" + }, + "parent_node_id": "node_434", + "improvement_over_parent": null + }, + "node_436": { + "node_id": "node_436", + "content": "MODIFICATION: Increase 16 thickness by 40%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0032)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0069)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0064)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n\nPerformance:\n Mass: 172.45 kg\n Factor of Safety: 1.34\n Max Deflection: 1.41e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.45276663166555, + "fos_buckling": 1.34056694308451, + "fos_yielding": 4.234402500405037, + "deflection": 0.014130707551737494, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.399)" + }, + "parent_node_id": "node_435", + "improvement_over_parent": null + }, + "node_437": { + "node_id": "node_437", + "content": "MODIFICATION: Increase 1 thickness by 62%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0032)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0069)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0064)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n\nPerformance:\n Mass: 176.22 kg\n Factor of Safety: 1.13\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.21764319785404, + "fos_buckling": 1.133211024389617, + "fos_yielding": 4.224691507341678, + "deflection": 0.013348753782822066, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.618)" + }, + "parent_node_id": "node_436", + "improvement_over_parent": null + }, + "node_438": { + "node_id": "node_438", + "content": "MODIFICATION: Increase 14 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0069)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0064)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n\nPerformance:\n Mass: 177.60 kg\n Factor of Safety: 1.28\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.6015830039759, + "fos_buckling": 1.2845389215699323, + "fos_yielding": 4.221427834605687, + "deflection": 0.013288073737913393, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.248)" + }, + "parent_node_id": "node_437", + "improvement_over_parent": null + }, + "node_439": { + "node_id": "node_439", + "content": "MODIFICATION: Increase 15 thickness by 41%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0069)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0064)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n\nPerformance:\n Mass: 180.28 kg\n Factor of Safety: 1.37\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.27528478429147, + "fos_buckling": 1.3689828248000033, + "fos_yielding": 4.226929630390844, + "deflection": 0.013055857282720693, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.414)" + }, + "parent_node_id": "node_438", + "improvement_over_parent": null + }, + "node_440": { + "node_id": "node_440", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0057)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0080)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0075)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n Mass: 207.43 kg\n Factor of Safety: 1.53\n Max Deflection: 1.14e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 207.42845503670299, + "fos_buckling": 1.5320143455283737, + "fos_yielding": 4.8619957207874895, + "deflection": 0.011383842511695557, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.166)" + }, + "parent_node_id": "node_439", + "improvement_over_parent": null + }, + "node_441": { + "node_id": "node_441", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_440", + "improvement_over_parent": null + }, + "node_442": { + "node_id": "node_442", + "content": "INITIAL DESIGN (Trace 61)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0024)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0029)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n Mass: 154.87 kg\n Factor of Safety: 1.19\n Max Deflection: 1.42e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 154.87430008805708, + "fos_buckling": 1.1889048009231455, + "fos_yielding": 3.8242857989206778, + "deflection": 0.014244468833390062, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_443": { + "node_id": "node_443", + "content": "MODIFICATION: Increase 18 thickness by 63%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0029)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n Mass: 157.39 kg\n Factor of Safety: 1.19\n Max Deflection: 1.44e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.39276438808102, + "fos_buckling": 1.1863664931470774, + "fos_yielding": 3.822579858606611, + "deflection": 0.014351501947920986, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(18, thickness, 1.631)" + }, + "parent_node_id": "node_442", + "improvement_over_parent": null + }, + "node_444": { + "node_id": "node_444", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 199.61 kg\n Factor of Safety: 1.45\n Max Deflection: 1.14e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.61444263771, + "fos_buckling": 1.4456546624210187, + "fos_yielding": 4.8406472840569785, + "deflection": 0.011387201005517706, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.294)" + }, + "parent_node_id": "node_443", + "improvement_over_parent": null + }, + "node_445": { + "node_id": "node_445", + "content": "MODIFICATION: Increase 19 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 202.73 kg\n Factor of Safety: 1.50\n Max Deflection: 1.13e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 202.73064275546534, + "fos_buckling": 1.5017004567212182, + "fos_yielding": 4.840714534657704, + "deflection": 0.011274069585449865, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(19, thickness, 1.389)" + }, + "parent_node_id": "node_444", + "improvement_over_parent": null + }, + "node_446": { + "node_id": "node_446", + "content": "MODIFICATION: Increase 19 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.87 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.8716680874897, + "fos_buckling": 1.531462730658051, + "fos_yielding": 4.840727718256633, + "deflection": 0.011217761249423171, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(19, thickness, 1.200)" + }, + "parent_node_id": "node_445", + "improvement_over_parent": null + }, + "node_447": { + "node_id": "node_447", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_446", + "improvement_over_parent": null + }, + "node_448": { + "node_id": "node_448", + "content": "INITIAL DESIGN (Trace 62)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0049)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0046)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0043)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0029)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0022)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0033)]\n\nPerformance:\n Mass: 122.04 kg\n Factor of Safety: 0.54\n Max Deflection: 2.01e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 122.04431595067459, + "fos_buckling": 0.5427827544152599, + "fos_yielding": 3.058572517764407, + "deflection": 0.020144261973372293, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_449": { + "node_id": "node_449", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0029)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0042)]\n\nPerformance:\n Mass: 154.34 kg\n Factor of Safety: 0.67\n Max Deflection: 1.60e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 154.34061720902523, + "fos_buckling": 0.6744668046969478, + "fos_yielding": 3.8780998080865947, + "deflection": 0.015961007453701197, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.285)" + }, + "parent_node_id": "node_448", + "improvement_over_parent": null + }, + "node_450": { + "node_id": "node_450", + "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0029)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0042)]\n M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n\nPerformance:\n Mass: 166.40 kg\n Factor of Safety: 1.04\n Max Deflection: 1.35e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.3985851688033, + "fos_buckling": 1.0397133918093782, + "fos_yielding": 4.163055988859853, + "deflection": 0.013533411472292388, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.005413)" + }, + "parent_node_id": "node_449", + "improvement_over_parent": null + }, + "node_451": { + "node_id": "node_451", + "content": "MODIFICATION: Increase 20 thickness by 56%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0029)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0042)]\n M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0085)]\n\nPerformance:\n Mass: 172.39 kg\n Factor of Safety: 1.10\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.39102334677978, + "fos_buckling": 1.0959141938188979, + "fos_yielding": 4.163005152133551, + "deflection": 0.01334080697387102, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(20, thickness, 1.565)" + }, + "parent_node_id": "node_450", + "improvement_over_parent": null + }, + "node_452": { + "node_id": "node_452", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0099)]\n\nPerformance:\n Mass: 198.55 kg\n Factor of Safety: 1.24\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.55273606006668, + "fos_buckling": 1.244141003835008, + "fos_yielding": 4.7928493930525855, + "deflection": 0.01162090641060203, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.167)" + }, + "parent_node_id": "node_451", + "improvement_over_parent": null + }, + "node_453": { + "node_id": "node_453", + "content": "MODIFICATION: Increase 13 thickness by 37%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0099)]\n\nPerformance:\n Mass: 201.70 kg\n Factor of Safety: 1.24\n Max Deflection: 1.14e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.70219856138496, + "fos_buckling": 1.2441316396685569, + "fos_yielding": 4.83963539519564, + "deflection": 0.011443006174915333, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.368)" + }, + "parent_node_id": "node_452", + "improvement_over_parent": null + }, + "node_454": { + "node_id": "node_454", + "content": "MODIFICATION: Increase 18 thickness by 49%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0099)]\n\nPerformance:\n Mass: 204.38 kg\n Factor of Safety: 1.24\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.38060982752856, + "fos_buckling": 1.2413605107954657, + "fos_yielding": 4.837957464373387, + "deflection": 0.01150896154650192, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(18, thickness, 1.495)" + }, + "parent_node_id": "node_453", + "improvement_over_parent": null + }, + "node_455": { + "node_id": "node_455", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_454", + "improvement_over_parent": null + }, + "node_456": { + "node_id": "node_456", + "content": "INITIAL DESIGN (Trace 63)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0025)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0029)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0034)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0032)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0020)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0025)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0033)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0026)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0027)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0012)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0009)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0025)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0028)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0022)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0024)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0026)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0027)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0023)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0029)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0036)]\n\nPerformance:\n Mass: 97.69 kg\n Factor of Safety: 0.48\n Max Deflection: 2.55e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 97.690432742426, + "fos_buckling": 0.4807794604999455, + "fos_yielding": 2.3802956991588933, + "deflection": 0.025469029923812586, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_457": { + "node_id": "node_457", + "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0028)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0038)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0036)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0022)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0028)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0037)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0029)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0030)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0028)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0031)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0025)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0027)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0029)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0030)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0026)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0040)]\n\nPerformance:\n Mass: 108.14 kg\n Factor of Safety: 0.53\n Max Deflection: 2.30e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 108.14366055531414, + "fos_buckling": 0.5278275200645585, + "fos_yielding": 2.6341472666033154, + "deflection": 0.023027756040022995, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.112)" + }, + "parent_node_id": "node_456", + "improvement_over_parent": null + }, + "node_458": { + "node_id": "node_458", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0049)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0046)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0036)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0040)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n\nPerformance:\n Mass: 136.39 kg\n Factor of Safety: 0.65\n Max Deflection: 1.83e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 136.38523349126862, + "fos_buckling": 0.6506642304842497, + "fos_yielding": 3.319151175093957, + "deflection": 0.018303382270124062, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.277)" + }, + "parent_node_id": "node_457", + "improvement_over_parent": null + }, + "node_459": { + "node_id": "node_459", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n Mass: 165.89 kg\n Factor of Safety: 0.77\n Max Deflection: 1.51e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.89262128977361, + "fos_buckling": 0.7723252789460593, + "fos_yielding": 4.033556431351885, + "deflection": 0.01508550576067832, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.233)" + }, + "parent_node_id": "node_458", + "improvement_over_parent": null + }, + "node_460": { + "node_id": "node_460", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 199.46 kg\n Factor of Safety: 0.90\n Max Deflection: 1.26e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.46145360339077, + "fos_buckling": 0.9024004398055661, + "fos_yielding": 4.84466013684457, + "deflection": 0.012582299182865993, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.222)" + }, + "parent_node_id": "node_459", + "improvement_over_parent": null + }, + "node_461": { + "node_id": "node_461", + "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n Mass: 202.58 kg\n Factor of Safety: 1.39\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.57683150311118, + "fos_buckling": 1.3873071665352423, + "fos_yielding": 4.828547831975921, + "deflection": 0.01155790553580241, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)" + }, + "parent_node_id": "node_460", + "improvement_over_parent": null + }, + "node_462": { + "node_id": "node_462", + "content": "MODIFICATION: Increase 5 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n Mass: 204.54 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.5393184746428, + "fos_buckling": 1.5294833771011163, + "fos_yielding": 4.832978550304751, + "deflection": 0.011235711011292645, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.205)" + }, + "parent_node_id": "node_461", + "improvement_over_parent": null + }, + "node_463": { + "node_id": "node_463", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_462", + "improvement_over_parent": null + }, + "node_464": { + "node_id": "node_464", + "content": "INITIAL DESIGN (Trace 64)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n Mass: 160.57 kg\n Factor of Safety: 0.34\n Max Deflection: 2.05e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 160.56891950661728, + "fos_buckling": 0.33697699694961847, + "fos_yielding": 3.4164319957537845, + "deflection": 0.020497134405159576, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_465": { + "node_id": "node_465", + "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 173.11 kg\n Factor of Safety: 0.49\n Max Deflection: 1.86e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.10791184658657, + "fos_buckling": 0.48834621366603614, + "fos_yielding": 3.4157803017449373, + "deflection": 0.018603662419192216, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)" + }, + "parent_node_id": "node_464", + "improvement_over_parent": null + }, + "node_466": { + "node_id": "node_466", + "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n Mass: 181.72 kg\n Factor of Safety: 0.49\n Max Deflection: 1.85e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.71840087966046, + "fos_buckling": 0.4877520716603009, + "fos_yielding": 3.4135446110662335, + "deflection": 0.018497462118775353, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)" + }, + "parent_node_id": "node_465", + "improvement_over_parent": null + }, + "node_467": { + "node_id": "node_467", + "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 202.57 kg\n Factor of Safety: 1.53\n Max Deflection: 1.13e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 202.56661236863897, + "fos_buckling": 1.5307817046999317, + "fos_yielding": 4.850336390329332, + "deflection": 0.011269881143971133, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.007737)" + }, + "parent_node_id": "node_466", + "improvement_over_parent": null + }, + "node_468": { + "node_id": "node_468", + "content": "MODIFICATION: Increase 14 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0069)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 205.17 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 205.17334288495317, + "fos_buckling": 1.5301490450268533, + "fos_yielding": 4.845272474752799, + "deflection": 0.01123561431404554, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.311)" + }, + "parent_node_id": "node_467", + "improvement_over_parent": null + }, + "node_469": { + "node_id": "node_469", + "content": "MODIFICATION: Increase 9 thickness by 64%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0069)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 205.59 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 205.59060824007653, + "fos_buckling": 1.5299006547947007, + "fos_yielding": 4.856987982419717, + "deflection": 0.011239520180191712, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.645)" + }, + "parent_node_id": "node_468", + "improvement_over_parent": null + }, + "node_470": { + "node_id": "node_470", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_469", + "improvement_over_parent": null + }, + "node_471": { + "node_id": "node_471", + "content": "INITIAL DESIGN (Trace 65)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (17 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0052)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0049)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0046)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0040)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0019)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0040)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0055)]\n\nPerformance:\n Mass: 118.82 kg\n Factor of Safety: 0.13\n Max Deflection: 6.84e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 118.81771578712575, + "fos_buckling": 0.132020260608644, + "fos_yielding": 0.9860844127543579, + "deflection": 68424273456227.21, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_472": { + "node_id": "node_472", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (17 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0023)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nPerformance:\n Mass: 142.00 kg\n Factor of Safety: 0.45\n Max Deflection: 2.43e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 141.99956938493074, + "fos_buckling": 0.45119836472176167, + "fos_yielding": 1.9721688255087153, + "deflection": 24344967725566.21, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.211)" + }, + "parent_node_id": "node_471", + "improvement_over_parent": null + }, + "node_473": { + "node_id": "node_473", + "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0023)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n\nPerformance:\n Mass: 154.02 kg\n Factor of Safety: 0.08\n Max Deflection: 2.80e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 154.02462993043412, + "fos_buckling": 0.08187262194040108, + "fos_yielding": 1.51635608882986, + "deflection": 27952977296345.047, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.005397)" + }, + "parent_node_id": "node_472", + "improvement_over_parent": null + }, + "node_474": { + "node_id": "node_474", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0023)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n\nPerformance:\n Mass: 158.62 kg\n Factor of Safety: 0.00\n Max Deflection: 8.84e+14 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 158.62220552003578, + "fos_buckling": 0.002558519435637534, + "fos_yielding": 0.06163027579714735, + "deflection": 884218157981744.1, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003605)" + }, + "parent_node_id": "node_473", + "improvement_over_parent": null + }, + "node_475": { + "node_id": "node_475", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0023)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n\nPerformance:\n Mass: 168.16 kg\n Factor of Safety: 0.42\n Max Deflection: 1.45e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 168.1619625163679, + "fos_buckling": 0.4222196444573623, + "fos_yielding": 4.248494937288742, + "deflection": 0.014488583005281079, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.004807)" + }, + "parent_node_id": "node_474", + "improvement_over_parent": null + }, + "node_476": { + "node_id": "node_476", + "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0023)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n\nPerformance:\n Mass: 176.40 kg\n Factor of Safety: 1.15\n Max Deflection: 1.29e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.4032479705308, + "fos_buckling": 1.1485000933530336, + "fos_yielding": 4.192707398210001, + "deflection": 0.012930784998794792, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.004468)" + }, + "parent_node_id": "node_475", + "improvement_over_parent": null + }, + "node_477": { + "node_id": "node_477", + "content": "MODIFICATION: Increase 11 thickness by 52%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0023)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0070)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n\nPerformance:\n Mass: 178.45 kg\n Factor of Safety: 1.10\n Max Deflection: 1.28e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.45196124914588, + "fos_buckling": 1.0972333412615312, + "fos_yielding": 4.1928553261148, + "deflection": 0.012839393327579766, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.517)" + }, + "parent_node_id": "node_476", + "improvement_over_parent": null + }, + "node_478": { + "node_id": "node_478", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0081)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n Mass: 206.02 kg\n Factor of Safety: 1.25\n Max Deflection: 1.12e-02 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.01892817183005, + "fos_buckling": 1.2534339213766443, + "fos_yielding": 4.838118025895415, + "deflection": 0.011164338264818744, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.170)" + }, + "parent_node_id": "node_477", + "improvement_over_parent": null + }, + "node_479": { + "node_id": "node_479", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_478", + "improvement_over_parent": null + }, + "node_480": { + "node_id": "node_480", + "content": "INITIAL DESIGN (Trace 66)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0034)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n Mass: 155.41 kg\n Factor of Safety: 0.22\n Max Deflection: 4.20e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 155.41443797032454, + "fos_buckling": 0.21652396582900907, + "fos_yielding": 1.1635645334496316, + "deflection": 0.042012269443217114, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_481": { + "node_id": "node_481", + "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0034)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n\nPerformance:\n Mass: 168.07 kg\n Factor of Safety: 1.11\n Max Deflection: 1.32e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 168.069024535701, + "fos_buckling": 1.1114857718808824, + "fos_yielding": 4.0330586112716365, + "deflection": 0.013158718603770303, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.005848)" + }, + "parent_node_id": "node_480", + "improvement_over_parent": null + }, + "node_482": { + "node_id": "node_482", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 201.78 kg\n Factor of Safety: 1.31\n Max Deflection: 1.10e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.77651155724809, + "fos_buckling": 1.3125478876151024, + "fos_yielding": 4.836597922279976, + "deflection": 0.011020983149422948, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.220)" + }, + "parent_node_id": "node_481", + "improvement_over_parent": null + }, + "node_483": { + "node_id": "node_483", + "content": "MODIFICATION: Increase 17 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0069)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 204.69 kg\n Factor of Safety: 1.39\n Max Deflection: 1.11e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.68940960025762, + "fos_buckling": 1.385756902209375, + "fos_yielding": 4.835217185920168, + "deflection": 0.01110147654253747, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.387)" + }, + "parent_node_id": "node_482", + "improvement_over_parent": null + }, + "node_484": { + "node_id": "node_484", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_483", + "improvement_over_parent": null + }, + "node_485": { + "node_id": "node_485", + "content": "INITIAL DESIGN (Trace 67)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0030)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0040)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0054)]\n\nPerformance:\n Mass: 144.25 kg\n Factor of Safety: 0.97\n Max Deflection: 1.58e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 144.2537978198286, + "fos_buckling": 0.9744177854129783, + "fos_yielding": 3.4359461739607817, + "deflection": 0.015786862287707922, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_486": { + "node_id": "node_486", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0035)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n Mass: 167.03 kg\n Factor of Safety: 1.11\n Max Deflection: 1.37e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 167.03048369197205, + "fos_buckling": 1.1099226878727353, + "fos_yielding": 3.9757254006988774, + "deflection": 0.013679701523931238, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.170)" + }, + "parent_node_id": "node_485", + "improvement_over_parent": null + }, + "node_487": { + "node_id": "node_487", + "content": "MODIFICATION: Increase 13 thickness by 38%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n Mass: 169.75 kg\n Factor of Safety: 1.31\n Max Deflection: 1.35e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.74816129993928, + "fos_buckling": 1.312713892721968, + "fos_yielding": 4.015337182639185, + "deflection": 0.01345519210717877, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.381)" + }, + "parent_node_id": "node_486", + "improvement_over_parent": null + }, + "node_488": { + "node_id": "node_488", + "content": "MODIFICATION: Increase 9 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n Mass: 169.90 kg\n Factor of Safety: 1.31\n Max Deflection: 1.35e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.9012986361231, + "fos_buckling": 1.3126538310049893, + "fos_yielding": 4.018368032516054, + "deflection": 0.013457794912175679, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.211)" + }, + "parent_node_id": "node_487", + "improvement_over_parent": null + }, + "node_489": { + "node_id": "node_489", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.71 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.71071327307916, + "fos_buckling": 1.5305105553536407, + "fos_yielding": 4.837135346492263, + "deflection": 0.011226213286130405, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.225)" + }, + "parent_node_id": "node_488", + "improvement_over_parent": null + }, + "node_490": { + "node_id": "node_490", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_489", + "improvement_over_parent": null + }, + "node_491": { + "node_id": "node_491", + "content": "INITIAL DESIGN (Trace 68)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0052)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0023)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nPerformance:\n Mass: 157.12 kg\n Factor of Safety: 0.40\n Max Deflection: 1.81e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.11773230877034, + "fos_buckling": 0.40064057604326736, + "fos_yielding": 3.590847293369004, + "deflection": 0.01807135678022289, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_492": { + "node_id": "node_492", + "content": "MODIFICATION: Increase 6 thickness by 53%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0052)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0023)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nPerformance:\n Mass: 161.43 kg\n Factor of Safety: 0.40\n Max Deflection: 1.69e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 161.43187507160764, + "fos_buckling": 0.4002100187418886, + "fos_yielding": 3.5900852788437363, + "deflection": 0.016871594948598554, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.527)" + }, + "parent_node_id": "node_491", + "improvement_over_parent": null + }, + "node_493": { + "node_id": "node_493", + "content": "MODIFICATION: Increase 2 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0023)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nPerformance:\n Mass: 163.70 kg\n Factor of Safety: 0.40\n Max Deflection: 1.65e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.69889965307175, + "fos_buckling": 0.39998413732062543, + "fos_yielding": 3.589684979970316, + "deflection": 0.01651350838033002, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.211)" + }, + "parent_node_id": "node_492", + "improvement_over_parent": null + }, + "node_494": { + "node_id": "node_494", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 188.77 kg\n Factor of Safety: 0.45\n Max Deflection: 1.44e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.76827550187528, + "fos_buckling": 0.44787832840657754, + "fos_yielding": 4.133411192949035, + "deflection": 0.014379569154782317, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.168)" + }, + "parent_node_id": "node_493", + "improvement_over_parent": null + }, + "node_495": { + "node_id": "node_495", + "content": "MODIFICATION: Increase 0 thickness by 40%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 191.07 kg\n Factor of Safety: 0.45\n Max Deflection: 1.44e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.06796262821717, + "fos_buckling": 0.4476234744229183, + "fos_yielding": 4.132944318717209, + "deflection": 0.014383187959368037, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.404)" + }, + "parent_node_id": "node_494", + "improvement_over_parent": null + }, + "node_496": { + "node_id": "node_496", + "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 203.61 kg\n Factor of Safety: 1.31\n Max Deflection: 1.12e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.60695496818647, + "fos_buckling": 1.3051429532378034, + "fos_yielding": 4.835665666380875, + "deflection": 0.011247105371817844, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)" + }, + "parent_node_id": "node_495", + "improvement_over_parent": null + }, + "node_497": { + "node_id": "node_497", + "content": "MODIFICATION: Increase 11 thickness by 53%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 204.62 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.61786279779494, + "fos_buckling": 1.5298377832526961, + "fos_yielding": 4.834576113471617, + "deflection": 0.011231054015076273, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.527)" + }, + "parent_node_id": "node_496", + "improvement_over_parent": null + }, + "node_498": { + "node_id": "node_498", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_497", + "improvement_over_parent": null + }, + "node_499": { + "node_id": "node_499", + "content": "INITIAL DESIGN (Trace 69)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 159.28 kg\n Factor of Safety: 0.44\n Max Deflection: 1.63e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.27684696662433, + "fos_buckling": 0.4371076033056014, + "fos_yielding": 3.213019886376388, + "deflection": 0.016260993720642422, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_500": { + "node_id": "node_500", + "content": "MODIFICATION: Increase 14 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 161.79 kg\n Factor of Safety: 0.45\n Max Deflection: 1.62e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 161.78711585178579, + "fos_buckling": 0.4497116895536009, + "fos_yielding": 3.2123590277431924, + "deflection": 0.01617168133588521, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.393)" + }, + "parent_node_id": "node_499", + "improvement_over_parent": null + }, + "node_501": { + "node_id": "node_501", + "content": "MODIFICATION: Increase 8 thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 163.09 kg\n Factor of Safety: 0.45\n Max Deflection: 1.59e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.08866010677448, + "fos_buckling": 0.44971168955360113, + "fos_yielding": 4.136840997787743, + "deflection": 0.015903715352008855, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.316)" + }, + "parent_node_id": "node_500", + "improvement_over_parent": null + }, + "node_502": { + "node_id": "node_502", + "content": "MODIFICATION: Increase 6 thickness by 49%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 167.80 kg\n Factor of Safety: 0.45\n Max Deflection: 1.50e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 167.80104854433318, + "fos_buckling": 0.4491856959340774, + "fos_yielding": 4.1358829251657685, + "deflection": 0.014958264559885751, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.493)" + }, + "parent_node_id": "node_501", + "improvement_over_parent": null + }, + "node_503": { + "node_id": "node_503", + "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 180.34 kg\n Factor of Safety: 1.02\n Max Deflection: 1.25e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.34004088430248, + "fos_buckling": 1.0169717501869027, + "fos_yielding": 4.719115205544251, + "deflection": 0.012520234498361496, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)" + }, + "parent_node_id": "node_502", + "improvement_over_parent": null + }, + "node_504": { + "node_id": "node_504", + "content": "MODIFICATION: Increase 12 thickness by 62%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 182.22 kg\n Factor of Safety: 1.02\n Max Deflection: 1.25e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.21580017498962, + "fos_buckling": 1.0169717501869027, + "fos_yielding": 4.848173450231348, + "deflection": 0.012520234498361496, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.623)" + }, + "parent_node_id": "node_503", + "improvement_over_parent": null + }, + "node_505": { + "node_id": "node_505", + "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n Mass: 196.10 kg\n Factor of Safety: 1.02\n Max Deflection: 1.08e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.10070705061122, + "fos_buckling": 1.015739266968027, + "fos_yielding": 4.847698133930301, + "deflection": 0.010822748528191027, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)" + }, + "parent_node_id": "node_504", + "improvement_over_parent": null + }, + "node_506": { + "node_id": "node_506", + "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n Mass: 204.71 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.7111960836851, + "fos_buckling": 1.5303378236218048, + "fos_yielding": 4.834982603846904, + "deflection": 0.01122526655706786, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)" + }, + "parent_node_id": "node_505", + "improvement_over_parent": null + }, + "node_507": { + "node_id": "node_507", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_506", + "improvement_over_parent": null + }, + "node_508": { + "node_id": "node_508", + "content": "INITIAL DESIGN (Trace 70)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n Mass: 148.57 kg\n Factor of Safety: 0.29\n Max Deflection: 3.20e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 148.5737664136172, + "fos_buckling": 0.2901916451179714, + "fos_yielding": 2.1222731966071686, + "deflection": 0.032021249740397904, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_509": { + "node_id": "node_509", + "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n\nPerformance:\n Mass: 158.04 kg\n Factor of Safety: 0.29\n Max Deflection: 3.40e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 158.03920167564445, + "fos_buckling": 0.28949928899291316, + "fos_yielding": 1.7274198717424283, + "deflection": 0.03399167088700186, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004666)" + }, + "parent_node_id": "node_508", + "improvement_over_parent": null + }, + "node_510": { + "node_id": "node_510", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n\nPerformance:\n Mass: 168.38 kg\n Factor of Safety: 1.19\n Max Deflection: 1.35e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 168.38352767268094, + "fos_buckling": 1.1880173395678264, + "fos_yielding": 4.029867199323891, + "deflection": 0.013543187292484344, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.005269)" + }, + "parent_node_id": "node_509", + "improvement_over_parent": null + }, + "node_511": { + "node_id": "node_511", + "content": "MODIFICATION: Increase 4 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n\nPerformance:\n Mass: 169.55 kg\n Factor of Safety: 1.31\n Max Deflection: 1.35e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.5546730221137, + "fos_buckling": 1.3103413803965722, + "fos_yielding": 4.010092273713246, + "deflection": 0.013484645726537165, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.391)" + }, + "parent_node_id": "node_510", + "improvement_over_parent": null + }, + "node_512": { + "node_id": "node_512", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n Mass: 204.60 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.60437374621927, + "fos_buckling": 1.5298088771414602, + "fos_yielding": 4.834501288046654, + "deflection": 0.011231889937209237, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.227)" + }, + "parent_node_id": "node_511", + "improvement_over_parent": null + }, + "node_513": { + "node_id": "node_513", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_512", + "improvement_over_parent": null + }, + "node_514": { + "node_id": "node_514", + "content": "INITIAL DESIGN (Trace 71)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n\nPerformance:\n Mass: 169.93 kg\n Factor of Safety: 1.15\n Max Deflection: 1.36e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.93166787613464, + "fos_buckling": 1.1506411765917983, + "fos_yielding": 4.147371307704355, + "deflection": 0.013583311910276896, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_515": { + "node_id": "node_515", + "content": "MODIFICATION: Increase 20 thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n\nPerformance:\n Mass: 173.75 kg\n Factor of Safety: 1.35\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.74825005489132, + "fos_buckling": 1.347308952678706, + "fos_yielding": 4.147069826439611, + "deflection": 0.013295322782223494, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(20, thickness, 1.294)" + }, + "parent_node_id": "node_514", + "improvement_over_parent": null + }, + "node_516": { + "node_id": "node_516", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 203.03 kg\n Factor of Safety: 1.53\n Max Deflection: 1.14e-02 m\n Status: FEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 203.03372031067212, + "fos_buckling": 1.5309545667916151, + "fos_yielding": 4.84166691570762, + "deflection": 0.011424369787793254, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.185)" + }, + "parent_node_id": "node_515", + "improvement_over_parent": null + }, + "node_517": { + "node_id": "node_517", + "content": "MODIFICATION: Increase 1 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.73 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.7269442835545, + "fos_buckling": 1.5303456072956239, + "fos_yielding": 4.837387008063443, + "deflection": 0.01122513825701727, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.182)" + }, + "parent_node_id": "node_516", + "improvement_over_parent": null + }, + "node_518": { + "node_id": "node_518", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_517", + "improvement_over_parent": null + }, + "node_519": { + "node_id": "node_519", + "content": "INITIAL DESIGN (Trace 72)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0014)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n\nPerformance:\n Mass: 128.27 kg\n Factor of Safety: 0.27\n Max Deflection: 2.83e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 128.2708540662609, + "fos_buckling": 0.2724989972723973, + "fos_yielding": 1.386358746102423, + "deflection": 0.028277685713205544, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_520": { + "node_id": "node_520", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0016)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n\nPerformance:\n Mass: 143.34 kg\n Factor of Safety: 0.30\n Max Deflection: 2.53e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 143.338353062211, + "fos_buckling": 0.30320797671547434, + "fos_yielding": 1.553766915941825, + "deflection": 0.02532559330978248, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.126)" + }, + "parent_node_id": "node_519", + "improvement_over_parent": null + }, + "node_521": { + "node_id": "node_521", + "content": "MODIFICATION: Increase 11 thickness by 46%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n\nPerformance:\n Mass: 143.89 kg\n Factor of Safety: 0.40\n Max Deflection: 2.41e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 143.8915485293682, + "fos_buckling": 0.3995451257472653, + "fos_yielding": 2.1531656498102225, + "deflection": 0.024142279991544526, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.456)" + }, + "parent_node_id": "node_520", + "improvement_over_parent": null + }, + "node_522": { + "node_id": "node_522", + "content": "MODIFICATION: Increase 11 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n\nPerformance:\n Mass: 144.51 kg\n Factor of Safety: 0.40\n Max Deflection: 2.34e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 144.51224678084245, + "fos_buckling": 0.39950293588264046, + "fos_yielding": 2.688910857815914, + "deflection": 0.023413206211229706, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.364)" + }, + "parent_node_id": "node_521", + "improvement_over_parent": null + }, + "node_523": { + "node_id": "node_523", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n Mass: 183.87 kg\n Factor of Safety: 0.49\n Max Deflection: 1.85e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.87331776120044, + "fos_buckling": 0.487758447066165, + "fos_yielding": 3.4137706804890904, + "deflection": 0.018470117009917048, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.299)" + }, + "parent_node_id": "node_522", + "improvement_over_parent": null + }, + "node_524": { + "node_id": "node_524", + "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.72 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.72152925017895, + "fos_buckling": 1.5304970795925201, + "fos_yielding": 4.8372989983374675, + "deflection": 0.01122571424186765, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.007737)" + }, + "parent_node_id": "node_523", + "improvement_over_parent": null + }, + "node_525": { + "node_id": "node_525", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_524", + "improvement_over_parent": null + }, + "node_526": { + "node_id": "node_526", + "content": "INITIAL DESIGN (Trace 73)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0027)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0022)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0037)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0035)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0021)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0033)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0036)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0028)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0029)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0021)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0027)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0030)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0024)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0026)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0028)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0024)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0025)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0032)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0039)]\n\nPerformance:\n Mass: 104.92 kg\n Factor of Safety: 0.78\n Max Deflection: 2.18e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 104.92289071210213, + "fos_buckling": 0.7786558296901015, + "fos_yielding": 2.554546814415337, + "deflection": 0.021808463398082602, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_527": { + "node_id": "node_527", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0026)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0044)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0038)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0034)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0036)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0028)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0033)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0029)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0046)]\n\nPerformance:\n Mass: 123.15 kg\n Factor of Safety: 0.90\n Max Deflection: 1.86e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 123.15057126934674, + "fos_buckling": 0.903810774298044, + "fos_yielding": 2.996347504194133, + "deflection": 0.01862765625784891, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.183)" + }, + "parent_node_id": "node_526", + "improvement_over_parent": null + }, + "node_528": { + "node_id": "node_528", + "content": "MODIFICATION: Increase 17 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0026)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0044)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0038)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0034)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0036)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0028)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0033)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0034)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0046)]\n\nPerformance:\n Mass: 124.19 kg\n Factor of Safety: 1.00\n Max Deflection: 1.88e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 124.18857154449448, + "fos_buckling": 1.0030331570976998, + "fos_yielding": 2.996805180632535, + "deflection": 0.01875572412257755, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.182)" + }, + "parent_node_id": "node_527", + "improvement_over_parent": null + }, + "node_529": { + "node_id": "node_529", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0034)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n Mass: 156.90 kg\n Factor of Safety: 1.23\n Max Deflection: 1.49e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 156.89746846136995, + "fos_buckling": 1.23458762159627, + "fos_yielding": 3.782002176793697, + "deflection": 0.014910679349628118, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.282)" + }, + "parent_node_id": "node_528", + "improvement_over_parent": null + }, + "node_530": { + "node_id": "node_530", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 201.41 kg\n Factor of Safety: 1.52\n Max Deflection: 1.17e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 201.4066768578149, + "fos_buckling": 1.5169180179645434, + "fos_yielding": 4.847622827273123, + "deflection": 0.011683937629723543, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.311)" + }, + "parent_node_id": "node_529", + "improvement_over_parent": null + }, + "node_531": { + "node_id": "node_531", + "content": "MODIFICATION: Increase 1 thickness by 43%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.76 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.75640338184996, + "fos_buckling": 1.5306722576246852, + "fos_yielding": 4.837863864912234, + "deflection": 0.011223772669860283, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.429)" + }, + "parent_node_id": "node_530", + "improvement_over_parent": null + }, + "node_532": { + "node_id": "node_532", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_531", + "improvement_over_parent": null + }, + "node_533": { + "node_id": "node_533", + "content": "INITIAL DESIGN (Trace 74)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0049)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0046)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0020)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0040)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0052)]\n\nPerformance:\n Mass: 125.46 kg\n Factor of Safety: 0.50\n Max Deflection: 1.76e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 125.46439271533437, + "fos_buckling": 0.5033864136585187, + "fos_yielding": 3.3227679617520307, + "deflection": 0.017595844704554144, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_534": { + "node_id": "node_534", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0023)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n Mass: 142.08 kg\n Factor of Safety: 0.56\n Max Deflection: 1.56e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 142.07738804656478, + "fos_buckling": 0.5602495158217535, + "fos_yielding": 3.7607155928377685, + "deflection": 0.015562119106498355, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.142)" + }, + "parent_node_id": "node_533", + "improvement_over_parent": null + }, + "node_535": { + "node_id": "node_535", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n\nPerformance:\n Mass: 157.44 kg\n Factor of Safety: 0.61\n Max Deflection: 1.41e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.43610265855258, + "fos_buckling": 0.6108116477542872, + "fos_yielding": 4.165162753058387, + "deflection": 0.014063771476869252, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.117)" + }, + "parent_node_id": "node_534", + "improvement_over_parent": null + }, + "node_536": { + "node_id": "node_536", + "content": "MODIFICATION: Increase 4 thickness by 40%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n\nPerformance:\n Mass: 158.68 kg\n Factor of Safety: 0.61\n Max Deflection: 1.40e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 158.68149429815855, + "fos_buckling": 0.6108762801196407, + "fos_yielding": 4.139409240070393, + "deflection": 0.01401641004470497, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.399)" + }, + "parent_node_id": "node_535", + "improvement_over_parent": null + }, + "node_537": { + "node_id": "node_537", + "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n\nPerformance:\n Mass: 168.62 kg\n Factor of Safety: 0.61\n Max Deflection: 1.58e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 168.62449041197456, + "fos_buckling": 0.6093319885642613, + "fos_yielding": 4.138342940116866, + "deflection": 0.01576673733057933, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004921)" + }, + "parent_node_id": "node_536", + "improvement_over_parent": null + }, + "node_538": { + "node_id": "node_538", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M20: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n\nPerformance:\n Mass: 178.21 kg\n Factor of Safety: 1.37\n Max Deflection: 1.28e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.20820569137334, + "fos_buckling": 1.3662202691863514, + "fos_yielding": 4.214066755820286, + "deflection": 0.012845236525743386, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.004831)" + }, + "parent_node_id": "node_537", + "improvement_over_parent": null + }, + "node_539": { + "node_id": "node_539", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M20: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n\nPerformance:\n Mass: 204.81 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.80938055692715, + "fos_buckling": 1.531125423010126, + "fos_yielding": 4.839646104751476, + "deflection": 0.011220261678318938, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.164)" + }, + "parent_node_id": "node_538", + "improvement_over_parent": null + }, + "node_540": { + "node_id": "node_540", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_539", + "improvement_over_parent": null + }, + "node_541": { + "node_id": "node_541", + "content": "INITIAL DESIGN (Trace 75)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0027)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0031)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0036)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0034)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0021)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0032)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0021)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0028)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0012)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0021)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0027)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0024)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0024)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0026)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0028)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0029)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0025)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0031)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0039)]\n\nPerformance:\n Mass: 96.22 kg\n Factor of Safety: 0.16\n Max Deflection: 6.47e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 96.21596015134759, + "fos_buckling": 0.15852053681674438, + "fos_yielding": 0.7298555488498859, + "deflection": 0.06467438549047058, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_542": { + "node_id": "node_542", + "content": "MODIFICATION: Increase 12 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0027)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0031)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0036)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0034)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0021)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0032)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0021)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0028)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0012)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0021)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0027)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0030)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0024)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0026)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0028)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0029)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0025)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0031)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0039)]\n\nPerformance:\n Mass: 97.39 kg\n Factor of Safety: 0.16\n Max Deflection: 6.44e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 97.39300212828243, + "fos_buckling": 0.15850470891400098, + "fos_yielding": 0.7315145200908855, + "deflection": 0.06440694369589442, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.230)" + }, + "parent_node_id": "node_541", + "improvement_over_parent": null + }, + "node_543": { + "node_id": "node_543", + "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0027)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0031)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0036)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0034)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0021)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0032)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0021)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0028)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0012)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0021)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0027)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0030)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0024)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0026)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0028)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0029)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0025)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0031)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0039)]\n M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0036)]\n\nPerformance:\n Mass: 105.30 kg\n Factor of Safety: 0.80\n Max Deflection: 2.14e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 105.29628411760861, + "fos_buckling": 0.8000516867662603, + "fos_yielding": 2.524130836479933, + "deflection": 0.021419634752569163, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.003550)" + }, + "parent_node_id": "node_542", + "improvement_over_parent": null + }, + "node_544": { + "node_id": "node_544", + "content": "MODIFICATION: Increase 7 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0027)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0031)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0036)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0034)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0021)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0032)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0021)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0012)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0021)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0027)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0030)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0024)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0026)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0028)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0029)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0025)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0031)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0039)]\n M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0036)]\n\nPerformance:\n Mass: 106.31 kg\n Factor of Safety: 0.80\n Max Deflection: 2.13e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 106.30943602949755, + "fos_buckling": 0.8001488947165998, + "fos_yielding": 2.9483890160539383, + "deflection": 0.02128131953029582, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.355)" + }, + "parent_node_id": "node_543", + "improvement_over_parent": null + }, + "node_545": { + "node_id": "node_545", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0026)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n\nPerformance:\n Mass: 134.42 kg\n Factor of Safety: 0.99\n Max Deflection: 1.69e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 134.41904353792464, + "fos_buckling": 0.9938055838953613, + "fos_yielding": 3.7232363465301734, + "deflection": 0.016899716951439225, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.280)" + }, + "parent_node_id": "node_544", + "improvement_over_parent": null + }, + "node_546": { + "node_id": "node_546", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0052)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0049)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0046)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0030)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0055)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0043)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0055)]\n M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n\nPerformance:\n Mass: 149.16 kg\n Factor of Safety: 1.09\n Max Deflection: 1.53e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 149.15610046750214, + "fos_buckling": 1.0923514321293917, + "fos_yielding": 4.128663141404737, + "deflection": 0.015262438989667306, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.117)" + }, + "parent_node_id": "node_545", + "improvement_over_parent": null + }, + "node_547": { + "node_id": "node_547", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0065)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n\nPerformance:\n Mass: 173.72 kg\n Factor of Safety: 1.25\n Max Deflection: 1.32e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.72410768471713, + "fos_buckling": 1.2520784167255687, + "fos_yielding": 4.803308779366173, + "deflection": 0.013150481838672281, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.178)" + }, + "parent_node_id": "node_546", + "improvement_over_parent": null + }, + "node_548": { + "node_id": "node_548", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0077)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 204.08 kg\n Factor of Safety: 1.44\n Max Deflection: 1.12e-02 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.0775010809634, + "fos_buckling": 1.4415521947363956, + "fos_yielding": 5.634668238815948, + "deflection": 0.011243383671372793, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.192)" + }, + "parent_node_id": "node_547", + "improvement_over_parent": null + }, + "node_549": { + "node_id": "node_549", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_548", + "improvement_over_parent": null + }, + "node_550": { + "node_id": "node_550", + "content": "INITIAL DESIGN (Trace 76)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0023)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0027)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0031)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0030)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0018)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0028)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0031)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0024)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0024)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0009)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0018)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0023)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0026)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0020)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0022)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0025)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0021)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0033)]\n\nPerformance:\n Mass: 80.59 kg\n Factor of Safety: 0.23\n Max Deflection: 3.77e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 80.58609257587958, + "fos_buckling": 0.22863234716653547, + "fos_yielding": 1.8770883316064864, + "deflection": 0.03769747748791679, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_551": { + "node_id": "node_551", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0023)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0027)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0031)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0030)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0018)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0028)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0031)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0024)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0024)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0009)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0018)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0023)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0026)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0020)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0022)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0025)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0021)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0033)]\n M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0024)]\n\nPerformance:\n Mass: 85.55 kg\n Factor of Safety: 0.55\n Max Deflection: 2.72e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 85.55376006029509, + "fos_buckling": 0.5471368946081618, + "fos_yielding": 2.150497560836443, + "deflection": 0.02722560465087182, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.002411)" + }, + "parent_node_id": "node_550", + "improvement_over_parent": null + }, + "node_552": { + "node_id": "node_552", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0028)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0039)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0037)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0022)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0034)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0030)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0030)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0022)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0028)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0032)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0025)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0028)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0030)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0026)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0041)]\n M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0030)]\n\nPerformance:\n Mass: 104.74 kg\n Factor of Safety: 0.66\n Max Deflection: 2.23e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 104.73886496837198, + "fos_buckling": 0.6576142332914863, + "fos_yielding": 2.6312312019653135, + "deflection": 0.022303263993637277, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.235)" + }, + "parent_node_id": "node_551", + "improvement_over_parent": null + }, + "node_553": { + "node_id": "node_553", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0046)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n\nPerformance:\n Mass: 123.74 kg\n Factor of Safety: 0.76\n Max Deflection: 1.89e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 123.74215942318418, + "fos_buckling": 0.7626802278777783, + "fos_yielding": 3.1068667616103656, + "deflection": 0.018932271435396258, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.192)" + }, + "parent_node_id": "node_552", + "improvement_over_parent": null + }, + "node_554": { + "node_id": "node_554", + "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0046)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n\nPerformance:\n Mass: 132.79 kg\n Factor of Safety: 0.93\n Max Deflection: 1.70e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 132.79285883179082, + "fos_buckling": 0.934455923360223, + "fos_yielding": 3.1111287165767463, + "deflection": 0.016971123083716604, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.003982)" + }, + "parent_node_id": "node_553", + "improvement_over_parent": null + }, + "node_555": { + "node_id": "node_555", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0046)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M20: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n\nPerformance:\n Mass: 133.53 kg\n Factor of Safety: 1.07\n Max Deflection: 1.70e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 133.5270623441988, + "fos_buckling": 1.0665509153959758, + "fos_yielding": 3.1612594441825905, + "deflection": 0.01703236005051004, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.001580)" + }, + "parent_node_id": "node_554", + "improvement_over_parent": null + }, + "node_556": { + "node_id": "node_556", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M20: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n\nPerformance:\n Mass: 159.93 kg\n Factor of Safety: 1.25\n Max Deflection: 1.43e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.93014820198292, + "fos_buckling": 1.2469942764681228, + "fos_yielding": 3.783669896545921, + "deflection": 0.014275621954234936, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.212)" + }, + "parent_node_id": "node_555", + "improvement_over_parent": null + }, + "node_557": { + "node_id": "node_557", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n\nPerformance:\n Mass: 204.66 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.6595611655335, + "fos_buckling": 1.530091385663104, + "fos_yielding": 4.836082556424297, + "deflection": 0.011228630910625467, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.307)" + }, + "parent_node_id": "node_556", + "improvement_over_parent": null + }, + "node_558": { + "node_id": "node_558", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_557", + "improvement_over_parent": null + }, + "node_559": { + "node_id": "node_559", + "content": "INITIAL DESIGN (Trace 77)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 0, + "fos_buckling": 0, + "fos_yielding": 0, + "deflection": Infinity, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_560": { + "node_id": "node_560", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n M18: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n\nPerformance:\n Mass: 161.96 kg\n Factor of Safety: 0.25\n Max Deflection: 3.87e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 161.9571818510945, + "fos_buckling": 0.24923940437909853, + "fos_yielding": 1.244299421524424, + "deflection": 0.03873268622543638, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004107)" + }, + "parent_node_id": "node_559", + "improvement_over_parent": null + }, + "node_561": { + "node_id": "node_561", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n M18: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n\nPerformance:\n Mass: 166.62 kg\n Factor of Safety: 0.25\n Max Deflection: 3.83e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.62413583456848, + "fos_buckling": 0.24914177269812066, + "fos_yielding": 1.2255958458787137, + "deflection": 0.03829653683136233, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003664)" + }, + "parent_node_id": "node_560", + "improvement_over_parent": null + }, + "node_562": { + "node_id": "node_562", + "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n M18: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n\nPerformance:\n Mass: 179.98 kg\n Factor of Safety: 1.38\n Max Deflection: 1.27e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.9752399317324, + "fos_buckling": 1.3774082063045014, + "fos_yielding": 4.255362317145059, + "deflection": 0.012723292140976365, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.006197)" + }, + "parent_node_id": "node_561", + "improvement_over_parent": null + }, + "node_563": { + "node_id": "node_563", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 204.71 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70991919442702, + "fos_buckling": 1.5304464355836056, + "fos_yielding": 4.836986597039356, + "deflection": 0.011226327324714994, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.151)" + }, + "parent_node_id": "node_562", + "improvement_over_parent": null + }, + "node_564": { + "node_id": "node_564", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_563", + "improvement_over_parent": null + }, + "node_565": { + "node_id": "node_565", + "content": "INITIAL DESIGN (Trace 78)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0029)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0028)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0031)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n\nPerformance:\n Mass: 121.14 kg\n Factor of Safety: 0.48\n Max Deflection: 2.94e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 121.13836738049096, + "fos_buckling": 0.48106822071303357, + "fos_yielding": 2.9040344792914836, + "deflection": 0.029404970888816495, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_566": { + "node_id": "node_566", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0034)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n\nPerformance:\n Mass: 141.10 kg\n Factor of Safety: 0.55\n Max Deflection: 2.53e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 141.10463099386695, + "fos_buckling": 0.5488269642584951, + "fos_yielding": 3.3865434983205502, + "deflection": 0.025276800475079183, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.176)" + }, + "parent_node_id": "node_565", + "improvement_over_parent": null + }, + "node_567": { + "node_id": "node_567", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0034)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n\nPerformance:\n Mass: 141.65 kg\n Factor of Safety: 0.55\n Max Deflection: 1.96e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 141.65445314469278, + "fos_buckling": 0.5487243483062588, + "fos_yielding": 3.3412988334338793, + "deflection": 0.019637691389183257, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001500)" + }, + "parent_node_id": "node_566", + "improvement_over_parent": null + }, + "node_568": { + "node_id": "node_568", + "content": "MODIFICATION: Increase 6 thickness by 56%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n\nPerformance:\n Mass: 145.67 kg\n Factor of Safety: 0.55\n Max Deflection: 1.80e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 145.67082576411525, + "fos_buckling": 0.5481628324128835, + "fos_yielding": 3.650953580986101, + "deflection": 0.017995127010232804, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.562)" + }, + "parent_node_id": "node_567", + "improvement_over_parent": null + }, + "node_569": { + "node_id": "node_569", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M20: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n\nPerformance:\n Mass: 154.13 kg\n Factor of Safety: 1.14\n Max Deflection: 1.47e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 154.12781947589318, + "fos_buckling": 1.1390165386864857, + "fos_yielding": 3.6471528273131106, + "deflection": 0.014694125631245827, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.004222)" + }, + "parent_node_id": "node_568", + "improvement_over_parent": null + }, + "node_570": { + "node_id": "node_570", + "content": "MODIFICATION: Increase 12 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0055)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M20: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n\nPerformance:\n Mass: 156.06 kg\n Factor of Safety: 1.14\n Max Deflection: 1.46e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 156.05571784787898, + "fos_buckling": 1.1389724999162247, + "fos_yielding": 3.64701181432514, + "deflection": 0.01456932773357324, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.218)" + }, + "parent_node_id": "node_569", + "improvement_over_parent": null + }, + "node_571": { + "node_id": "node_571", + "content": "MODIFICATION: Increase 19 thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0055)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M20: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n\nPerformance:\n Mass: 156.21 kg\n Factor of Safety: 1.14\n Max Deflection: 1.46e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 156.20733207674792, + "fos_buckling": 1.138898007959003, + "fos_yielding": 3.6467732896477836, + "deflection": 0.014557589302197934, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(19, thickness, 1.302)" + }, + "parent_node_id": "node_570", + "improvement_over_parent": null + }, + "node_572": { + "node_id": "node_572", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0073)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0026)]\n M20: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n\nPerformance:\n Mass: 203.45 kg\n Factor of Safety: 1.44\n Max Deflection: 1.13e-02 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.44942358586562, + "fos_buckling": 1.4365540681779705, + "fos_yielding": 4.758170643316478, + "deflection": 0.011253962923147613, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.332)" + }, + "parent_node_id": "node_571", + "improvement_over_parent": null + }, + "node_573": { + "node_id": "node_573", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_572", + "improvement_over_parent": null + }, + "node_574": { + "node_id": "node_574", + "content": "INITIAL DESIGN (Trace 79)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0046)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0043)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0017)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n\nPerformance:\n Mass: 124.09 kg\n Factor of Safety: 0.24\n Max Deflection: 4.31e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 124.08720422183653, + "fos_buckling": 0.236063814746332, + "fos_yielding": 1.3668109352526494, + "deflection": 0.04305488611600635, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_575": { + "node_id": "node_575", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0052)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0049)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0019)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0040)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0040)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0055)]\n\nPerformance:\n Mass: 138.06 kg\n Factor of Safety: 0.26\n Max Deflection: 3.88e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 138.05897322259088, + "fos_buckling": 0.25879700134407485, + "fos_yielding": 1.517126245236189, + "deflection": 0.038784923613403535, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.120)" + }, + "parent_node_id": "node_574", + "improvement_over_parent": null + }, + "node_576": { + "node_id": "node_576", + "content": "MODIFICATION: Increase 4 thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0052)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0049)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0040)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0040)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0055)]\n\nPerformance:\n Mass: 138.63 kg\n Factor of Safety: 0.26\n Max Deflection: 3.86e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 138.63357688429824, + "fos_buckling": 0.25878446896523905, + "fos_yielding": 1.5170183729430768, + "deflection": 0.03864082450088036, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.238)" + }, + "parent_node_id": "node_575", + "improvement_over_parent": null + }, + "node_577": { + "node_id": "node_577", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n\nPerformance:\n Mass: 166.56 kg\n Factor of Safety: 0.30\n Max Deflection: 3.23e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.56479318154973, + "fos_buckling": 0.30178765059357604, + "fos_yielding": 1.8141687712259227, + "deflection": 0.03230589587638193, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.218)" + }, + "parent_node_id": "node_576", + "improvement_over_parent": null + }, + "node_578": { + "node_id": "node_578", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n\nPerformance:\n Mass: 177.44 kg\n Factor of Safety: 1.32\n Max Deflection: 1.29e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.44373451539371, + "fos_buckling": 1.316837900950193, + "fos_yielding": 4.230096394330219, + "deflection": 0.012875117337205042, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.005564)" + }, + "parent_node_id": "node_577", + "improvement_over_parent": null + }, + "node_579": { + "node_id": "node_579", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n Mass: 203.78 kg\n Factor of Safety: 1.48\n Max Deflection: 1.13e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.78139352585706, + "fos_buckling": 1.4750499011485612, + "fos_yielding": 4.854199784626902, + "deflection": 0.011254582124947779, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.163)" + }, + "parent_node_id": "node_578", + "improvement_over_parent": null + }, + "node_580": { + "node_id": "node_580", + "content": "MODIFICATION: Increase 4 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n Mass: 204.78 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.7764173044768, + "fos_buckling": 1.5308185258106297, + "fos_yielding": 4.838391022865108, + "deflection": 0.011222816351097849, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.253)" + }, + "parent_node_id": "node_579", + "improvement_over_parent": null + }, + "node_581": { + "node_id": "node_581", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_580", + "improvement_over_parent": null + }, + "node_582": { + "node_id": "node_582", + "content": "INITIAL DESIGN (Trace 80)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 179.23 kg\n Factor of Safety: 0.08\n Max Deflection: 1.18e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.2322335502873, + "fos_buckling": 0.07994107523407006, + "fos_yielding": 1.9721688255087158, + "deflection": 11803028837492.625, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_583": { + "node_id": "node_583", + "content": "MODIFICATION: Increase 12 thickness by 42%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 182.69 kg\n Factor of Safety: 0.32\n Max Deflection: 7.21e+12 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.68980748103377, + "fos_buckling": 0.3197643009362802, + "fos_yielding": 5.259116868023241, + "deflection": 7206259870450.822, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.418)" + }, + "parent_node_id": "node_582", + "improvement_over_parent": null + }, + "node_584": { + "node_id": "node_584", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n Mass: 195.18 kg\n Factor of Safety: 0.43\n Max Deflection: 1.27e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.17761455805052, + "fos_buckling": 0.4258044030388619, + "fos_yielding": 4.902478228117339, + "deflection": 0.012664832359123569, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.006468)" + }, + "parent_node_id": "node_583", + "improvement_over_parent": null + }, + "node_585": { + "node_id": "node_585", + "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n Mass: 204.69 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.69327237505087, + "fos_buckling": 1.5303941986133882, + "fos_yielding": 4.836704256079262, + "deflection": 0.011227131273073525, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.005227)" + }, + "parent_node_id": "node_584", + "improvement_over_parent": null + }, + "node_586": { + "node_id": "node_586", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_585", + "improvement_over_parent": null + }, + "node_587": { + "node_id": "node_587", + "content": "INITIAL DESIGN (Trace 81)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0030)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0041)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0039)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0036)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0032)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0008)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0023)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0030)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0029)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0032)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0044)]\n\nPerformance:\n Mass: 114.11 kg\n Factor of Safety: 0.69\n Max Deflection: 2.09e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 114.11420010732667, + "fos_buckling": 0.6924859444822796, + "fos_yielding": 2.8357167946563555, + "deflection": 0.020928247696892253, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_588": { + "node_id": "node_588", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0049)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0046)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0043)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0009)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0040)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n\nPerformance:\n Mass: 133.25 kg\n Factor of Safety: 0.79\n Max Deflection: 1.80e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 133.25015636855528, + "fos_buckling": 0.7939757946366018, + "fos_yielding": 3.3094536122973444, + "deflection": 0.01797313626100389, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.178)" + }, + "parent_node_id": "node_587", + "improvement_over_parent": null + }, + "node_589": { + "node_id": "node_589", + "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0049)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0046)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0043)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0009)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0040)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n\nPerformance:\n Mass: 139.72 kg\n Factor of Safety: 1.11\n Max Deflection: 1.63e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 139.71504092727818, + "fos_buckling": 1.1105650337842845, + "fos_yielding": 3.310788144558651, + "deflection": 0.016300433862726796, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.003732)" + }, + "parent_node_id": "node_588", + "improvement_over_parent": null + }, + "node_590": { + "node_id": "node_590", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n\nPerformance:\n Mass: 163.90 kg\n Factor of Safety: 1.27\n Max Deflection: 1.39e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.90128001686722, + "fos_buckling": 1.274194864247521, + "fos_yielding": 3.8813647162582074, + "deflection": 0.013944122565354818, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.186)" + }, + "parent_node_id": "node_589", + "improvement_over_parent": null + }, + "node_591": { + "node_id": "node_591", + "content": "MODIFICATION: Increase 10 thickness by 43%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0047)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n\nPerformance:\n Mass: 164.87 kg\n Factor of Safety: 1.29\n Max Deflection: 1.39e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.87374743171486, + "fos_buckling": 1.2918196633006218, + "fos_yielding": 3.8806631028736285, + "deflection": 0.013926521731124455, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.433)" + }, + "parent_node_id": "node_590", + "improvement_over_parent": null + }, + "node_592": { + "node_id": "node_592", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0060)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n Mass: 205.54 kg\n Factor of Safety: 1.55\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 205.53605354101973, + "fos_buckling": 1.5498272587135278, + "fos_yielding": 4.833361454683119, + "deflection": 0.011235875161931459, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.271)" + }, + "parent_node_id": "node_591", + "improvement_over_parent": null + }, + "node_593": { + "node_id": "node_593", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_592", + "improvement_over_parent": null + }, + "node_594": { + "node_id": "node_594", + "content": "INITIAL DESIGN (Trace 82)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0027)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n Mass: 153.13 kg\n Factor of Safety: 0.28\n Max Deflection: 3.47e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 153.13367865551461, + "fos_buckling": 0.28391161726358927, + "fos_yielding": 1.6885298901645518, + "deflection": 0.03470677074684599, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_595": { + "node_id": "node_595", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0027)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n\nPerformance:\n Mass: 163.24 kg\n Factor of Safety: 1.18\n Max Deflection: 1.41e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.2372574221024, + "fos_buckling": 1.1845564943379012, + "fos_yielding": 3.8716049619582846, + "deflection": 0.014065445940033157, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.005137)" + }, + "parent_node_id": "node_594", + "improvement_over_parent": null + }, + "node_596": { + "node_id": "node_596", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n Mass: 201.78 kg\n Factor of Safety: 1.40\n Max Deflection: 1.14e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.78269047737408, + "fos_buckling": 1.403485311798742, + "fos_yielding": 4.780650789514593, + "deflection": 0.01144149921684052, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.259)" + }, + "parent_node_id": "node_595", + "improvement_over_parent": null + }, + "node_597": { + "node_id": "node_597", + "content": "MODIFICATION: Increase 0 thickness by 56%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n Mass: 204.68 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.67955816537975, + "fos_buckling": 1.5302509137256954, + "fos_yielding": 4.836260165059304, + "deflection": 0.01122788491860038, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.562)" + }, + "parent_node_id": "node_596", + "improvement_over_parent": null + }, + "node_598": { + "node_id": "node_598", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_597", + "improvement_over_parent": null + }, + "node_599": { + "node_id": "node_599", + "content": "INITIAL DESIGN (Trace 83)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0054)]\n\nPerformance:\n Mass: 167.40 kg\n Factor of Safety: 0.63\n Max Deflection: 1.67e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 167.40140853748363, + "fos_buckling": 0.6254919986084206, + "fos_yielding": 2.2389834081404887, + "deflection": 0.016690359413904378, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_600": { + "node_id": "node_600", + "content": "MODIFICATION: Increase 18 thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n\nPerformance:\n Mass: 171.08 kg\n Factor of Safety: 0.63\n Max Deflection: 1.62e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.08479879832285, + "fos_buckling": 0.6252967473066289, + "fos_yielding": 2.3661005856795985, + "deflection": 0.016234751792712495, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(18, thickness, 1.266)" + }, + "parent_node_id": "node_599", + "improvement_over_parent": null + }, + "node_601": { + "node_id": "node_601", + "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n\nPerformance:\n Mass: 173.88 kg\n Factor of Safety: 0.63\n Max Deflection: 1.53e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.8813044502321, + "fos_buckling": 0.625000502662184, + "fos_yielding": 4.266682281756315, + "deflection": 0.015301506132120012, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003703)" + }, + "parent_node_id": "node_600", + "improvement_over_parent": null + }, + "node_602": { + "node_id": "node_602", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M20: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n\nPerformance:\n Mass: 183.77 kg\n Factor of Safety: 1.40\n Max Deflection: 1.25e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.76988618667568, + "fos_buckling": 1.4013065573518404, + "fos_yielding": 4.344753320717135, + "deflection": 0.012467413958564807, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.004998)" + }, + "parent_node_id": "node_601", + "improvement_over_parent": null + }, + "node_603": { + "node_id": "node_603", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M20: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n\nPerformance:\n Mass: 204.67 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.67403256129296, + "fos_buckling": 1.5300835766856122, + "fos_yielding": 4.8362660436898235, + "deflection": 0.011228189097671542, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.125)" + }, + "parent_node_id": "node_602", + "improvement_over_parent": null + }, + "node_604": { + "node_id": "node_604", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_603", + "improvement_over_parent": null + }, + "node_605": { + "node_id": "node_605", + "content": "INITIAL DESIGN (Trace 84)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0020)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0024)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0028)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0026)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0016)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0025)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0027)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0021)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0022)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0009)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0008)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0016)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0020)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0023)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0018)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0020)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0021)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0022)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0019)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0024)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0029)]\n\nPerformance:\n Mass: 81.97 kg\n Factor of Safety: 0.69\n Max Deflection: 2.75e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 81.97327924738315, + "fos_buckling": 0.685442095607844, + "fos_yielding": 1.943301262852972, + "deflection": 0.027535014686967684, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_606": { + "node_id": "node_606", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0026)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0030)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0035)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0033)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0020)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0031)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0034)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0027)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0027)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0012)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0020)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0026)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0029)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0023)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0025)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0027)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0028)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0024)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0030)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0037)]\n\nPerformance:\n Mass: 103.11 kg\n Factor of Safety: 0.85\n Max Deflection: 2.20e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 103.11134671430034, + "fos_buckling": 0.8463463252826411, + "fos_yielding": 2.443023634288603, + "deflection": 0.021958757323343642, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.269)" + }, + "parent_node_id": "node_605", + "improvement_over_parent": null + }, + "node_607": { + "node_id": "node_607", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0044)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0039)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0034)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0036)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0028)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0033)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0034)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0046)]\n\nPerformance:\n Mass: 126.38 kg\n Factor of Safety: 1.02\n Max Deflection: 1.80e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 126.38315511887696, + "fos_buckling": 1.016050120265109, + "fos_yielding": 2.9925337400620213, + "deflection": 0.017976853386844755, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.238)" + }, + "parent_node_id": "node_606", + "improvement_over_parent": null + }, + "node_608": { + "node_id": "node_608", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n Mass: 160.80 kg\n Factor of Safety: 1.25\n Max Deflection: 1.42e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 160.797346310597, + "fos_buckling": 1.2527957417027944, + "fos_yielding": 3.803888551410463, + "deflection": 0.014200907212861739, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.292)" + }, + "parent_node_id": "node_607", + "improvement_over_parent": null + }, + "node_609": { + "node_id": "node_609", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.74 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.74030003564044, + "fos_buckling": 1.5306326186872132, + "fos_yielding": 4.837720865660528, + "deflection": 0.011224698860589214, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.300)" + }, + "parent_node_id": "node_608", + "improvement_over_parent": null + }, + "node_610": { + "node_id": "node_610", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_609", + "improvement_over_parent": null + }, + "node_611": { + "node_id": "node_611", + "content": "INITIAL DESIGN (Trace 85)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (17 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n Mass: 135.88 kg\n Factor of Safety: 0.26\n Max Deflection: 1.69e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 135.88318295726327, + "fos_buckling": 0.26042424221258836, + "fos_yielding": 2.18714916222834, + "deflection": 16940230878911.984, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_612": { + "node_id": "node_612", + "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n M17: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n\nPerformance:\n Mass: 138.39 kg\n Factor of Safety: 0.08\n Max Deflection: 2.58e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 138.38924803100238, + "fos_buckling": 0.08276082304336654, + "fos_yielding": 0.9860844127543579, + "deflection": 25826996477168.22, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003289)" + }, + "parent_node_id": "node_611", + "improvement_over_parent": null + }, + "node_613": { + "node_id": "node_613", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M17: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n Mass: 172.06 kg\n Factor of Safety: 0.04\n Max Deflection: 5.84e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.0568564369892, + "fos_buckling": 0.04192513033711669, + "fos_yielding": 0.5406868902285155, + "deflection": 58388289303496.81, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.267)" + }, + "parent_node_id": "node_612", + "improvement_over_parent": null + }, + "node_614": { + "node_id": "node_614", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M17: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 177.36 kg\n Factor of Safety: 0.10\n Max Deflection: 2.39e+13 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.3649019139837, + "fos_buckling": 0.10062031280908004, + "fos_yielding": 1.2591909028463328, + "deflection": 23915293733700.387, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)" + }, + "parent_node_id": "node_613", + "improvement_over_parent": null + }, + "node_615": { + "node_id": "node_615", + "content": "MODIFICATION: Increase 11 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0056)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M17: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 178.61 kg\n Factor of Safety: 0.01\n Max Deflection: 4.17e+14 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.60847449838303, + "fos_buckling": 0.009546622005649166, + "fos_yielding": 0.06163027579714737, + "deflection": 416897382441323.44, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.179)" + }, + "parent_node_id": "node_614", + "improvement_over_parent": null + }, + "node_616": { + "node_id": "node_616", + "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0056)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M17: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 193.79 kg\n Factor of Safety: 0.25\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.79302851328444, + "fos_buckling": 0.24722225672292028, + "fos_yielding": 4.802349928190658, + "deflection": 0.011660292417964624, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)" + }, + "parent_node_id": "node_615", + "improvement_over_parent": null + }, + "node_617": { + "node_id": "node_617", + "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0056)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M17: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n Mass: 205.22 kg\n Factor of Safety: 1.44\n Max Deflection: 1.12e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.22022867932407, + "fos_buckling": 1.4444861548628547, + "fos_yielding": 4.805776361250554, + "deflection": 0.011241898485183801, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.005728)" + }, + "parent_node_id": "node_616", + "improvement_over_parent": null + }, + "node_618": { + "node_id": "node_618", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_617", + "improvement_over_parent": null + }, + "node_619": { + "node_id": "node_619", + "content": "INITIAL DESIGN (Trace 86)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n\nPerformance:\n Mass: 167.48 kg\n Factor of Safety: 1.09\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 167.48204650808856, + "fos_buckling": 1.0892060630364664, + "fos_yielding": 4.056234897363045, + "deflection": 0.013053579155827114, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_620": { + "node_id": "node_620", + "content": "MODIFICATION: Increase 17 thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n\nPerformance:\n Mass: 169.59 kg\n Factor of Safety: 1.28\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.58782025372216, + "fos_buckling": 1.2764283244143557, + "fos_yielding": 4.057144216149995, + "deflection": 0.013269551574260305, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.304)" + }, + "parent_node_id": "node_619", + "improvement_over_parent": null + }, + "node_621": { + "node_id": "node_621", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 202.35 kg\n Factor of Safety: 1.48\n Max Deflection: 1.12e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.35450535800965, + "fos_buckling": 1.4837084221295511, + "fos_yielding": 4.836053615127534, + "deflection": 0.011176723187372815, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.212)" + }, + "parent_node_id": "node_620", + "improvement_over_parent": null + }, + "node_622": { + "node_id": "node_622", + "content": "MODIFICATION: Increase 18 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.61 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.60674867395278, + "fos_buckling": 1.5298439778981288, + "fos_yielding": 4.834629503619788, + "deflection": 0.011231685522981679, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(18, thickness, 1.389)" + }, + "parent_node_id": "node_621", + "improvement_over_parent": null + }, + "node_623": { + "node_id": "node_623", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_622", + "improvement_over_parent": null + }, + "node_624": { + "node_id": "node_624", + "content": "INITIAL DESIGN (Trace 87)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 185.12 kg\n Factor of Safety: 0.22\n Max Deflection: 1.22e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.12180513221267, + "fos_buckling": 0.22442286034438966, + "fos_yielding": 5.161214493962769, + "deflection": 0.012220397325937694, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_625": { + "node_id": "node_625", + "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n Mass: 196.55 kg\n Factor of Safety: 1.15\n Max Deflection: 1.23e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.5490052982523, + "fos_buckling": 1.1542551529528176, + "fos_yielding": 5.161214493962766, + "deflection": 0.01226500623594889, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.005728)" + }, + "parent_node_id": "node_624", + "improvement_over_parent": null + }, + "node_626": { + "node_id": "node_626", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 201.86 kg\n Factor of Safety: 1.53\n Max Deflection: 1.16e-02 m\n Status: FEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 201.8570507752468, + "fos_buckling": 1.527601417200801, + "fos_yielding": 4.835308141076604, + "deflection": 0.01157752103483191, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)" + }, + "parent_node_id": "node_625", + "improvement_over_parent": null + }, + "node_627": { + "node_id": "node_627", + "content": "MODIFICATION: Increase 2 thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 204.71 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.71143707026437, + "fos_buckling": 1.5304025189732648, + "fos_yielding": 4.83679040185636, + "deflection": 0.011225692018881761, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.238)" + }, + "parent_node_id": "node_626", + "improvement_over_parent": null + }, + "node_628": { + "node_id": "node_628", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_627", + "improvement_over_parent": null + }, + "node_629": { + "node_id": "node_629", + "content": "INITIAL DESIGN (Trace 88)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0045)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n Mass: 161.47 kg\n Factor of Safety: 0.91\n Max Deflection: 1.35e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 161.47057292468193, + "fos_buckling": 0.9137616849526802, + "fos_yielding": 3.7203593384394975, + "deflection": 0.013541711673842763, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_630": { + "node_id": "node_630", + "content": "MODIFICATION: Increase 2 thickness by 41%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n Mass: 165.37 kg\n Factor of Safety: 0.91\n Max Deflection: 1.28e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.36603754596337, + "fos_buckling": 0.9140717035056882, + "fos_yielding": 3.7203593384394975, + "deflection": 0.012786713956366111, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.412)" + }, + "parent_node_id": "node_629", + "improvement_over_parent": null + }, + "node_631": { + "node_id": "node_631", + "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n\nPerformance:\n Mass: 172.97 kg\n Factor of Safety: 1.05\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.97210587529028, + "fos_buckling": 1.046215994363294, + "fos_yielding": 3.7203593384394975, + "deflection": 0.013385640956584528, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004342)" + }, + "parent_node_id": "node_630", + "improvement_over_parent": null + }, + "node_632": { + "node_id": "node_632", + "content": "MODIFICATION: Increase 8 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n\nPerformance:\n Mass: 173.92 kg\n Factor of Safety: 1.05\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.9208676833599, + "fos_buckling": 1.046215994363294, + "fos_yielding": 4.5610342575282585, + "deflection": 0.013385640956584528, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.245)" + }, + "parent_node_id": "node_631", + "improvement_over_parent": null + }, + "node_633": { + "node_id": "node_633", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n Mass: 196.87 kg\n Factor of Safety: 1.15\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.87351736650777, + "fos_buckling": 1.153984537750255, + "fos_yielding": 5.16239610012017, + "deflection": 0.011867714400466323, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.145)" + }, + "parent_node_id": "node_632", + "improvement_over_parent": null + }, + "node_634": { + "node_id": "node_634", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n Mass: 204.66 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.65516587876024, + "fos_buckling": 1.5301544362173864, + "fos_yielding": 4.8368669377906155, + "deflection": 0.011229836670586664, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004727)" + }, + "parent_node_id": "node_633", + "improvement_over_parent": null + }, + "node_635": { + "node_id": "node_635", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_634", + "improvement_over_parent": null + }, + "node_636": { + "node_id": "node_636", + "content": "INITIAL DESIGN (Trace 89)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0029)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0023)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0030)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n Mass: 154.44 kg\n Factor of Safety: 1.02\n Max Deflection: 1.47e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 154.44330764820282, + "fos_buckling": 1.019751897307273, + "fos_yielding": 3.227804088904188, + "deflection": 0.01469338976715643, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_637": { + "node_id": "node_637", + "content": "MODIFICATION: Increase 16 thickness by 46%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0029)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0023)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n Mass: 157.05 kg\n Factor of Safety: 1.02\n Max Deflection: 1.44e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.05441396296885, + "fos_buckling": 1.0193398555313125, + "fos_yielding": 3.2264998597747723, + "deflection": 0.014399638833686931, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.460)" + }, + "parent_node_id": "node_636", + "improvement_over_parent": null + }, + "node_638": { + "node_id": "node_638", + "content": "MODIFICATION: Increase 14 thickness by 56%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0029)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n Mass: 159.17 kg\n Factor of Safety: 1.02\n Max Deflection: 1.43e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.17382073182122, + "fos_buckling": 1.0193532647180565, + "fos_yielding": 3.2265423036554024, + "deflection": 0.014295946600923962, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.565)" + }, + "parent_node_id": "node_637", + "improvement_over_parent": null + }, + "node_639": { + "node_id": "node_639", + "content": "MODIFICATION: Increase 12 thickness by 41%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n Mass: 160.31 kg\n Factor of Safety: 1.22\n Max Deflection: 1.42e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 160.31212567261755, + "fos_buckling": 1.2184262710376204, + "fos_yielding": 3.8255053752835737, + "deflection": 0.014174139135200861, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.414)" + }, + "parent_node_id": "node_638", + "improvement_over_parent": null + }, + "node_640": { + "node_id": "node_640", + "content": "MODIFICATION: Increase 15 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n Mass: 161.59 kg\n Factor of Safety: 1.26\n Max Deflection: 1.41e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 161.59443924185334, + "fos_buckling": 1.2580871758141285, + "fos_yielding": 3.8228163973275304, + "deflection": 0.014132174981314784, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.221)" + }, + "parent_node_id": "node_639", + "improvement_over_parent": null + }, + "node_641": { + "node_id": "node_641", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n Mass: 182.88 kg\n Factor of Safety: 1.40\n Max Deflection: 1.25e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.88266290906364, + "fos_buckling": 1.395856455623045, + "fos_yielding": 4.323958915159042, + "deflection": 0.012526027025034815, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.143)" + }, + "parent_node_id": "node_640", + "improvement_over_parent": null + }, + "node_642": { + "node_id": "node_642", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.69 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.68521245579745, + "fos_buckling": 1.530308892841977, + "fos_yielding": 4.836616229654049, + "deflection": 0.01122737348686771, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.131)" + }, + "parent_node_id": "node_641", + "improvement_over_parent": null + }, + "node_643": { + "node_id": "node_643", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_642", + "improvement_over_parent": null + }, + "node_644": { + "node_id": "node_644", + "content": "INITIAL DESIGN (Trace 90)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0033)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n\nPerformance:\n Mass: 121.51 kg\n Factor of Safety: 0.27\n Max Deflection: 4.06e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 121.5115621765357, + "fos_buckling": 0.27352223513235246, + "fos_yielding": 1.984284436081557, + "deflection": 0.040575664175301805, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_645": { + "node_id": "node_645", + "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0033)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M18: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n\nPerformance:\n Mass: 130.31 kg\n Factor of Safety: 0.27\n Max Deflection: 4.37e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 130.31481728812034, + "fos_buckling": 0.2729132281226337, + "fos_yielding": 1.4671664379288638, + "deflection": 0.04371322994835303, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004316)" + }, + "parent_node_id": "node_644", + "improvement_over_parent": null + }, + "node_646": { + "node_id": "node_646", + "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0033)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M18: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n\nPerformance:\n Mass: 146.38 kg\n Factor of Safety: 0.27\n Max Deflection: 3.67e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 146.3764184351719, + "fos_buckling": 0.27254417332860337, + "fos_yielding": 1.6103610931547858, + "deflection": 0.03672108719214834, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.005830)" + }, + "parent_node_id": "node_645", + "improvement_over_parent": null + }, + "node_647": { + "node_id": "node_647", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0033)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M18: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n\nPerformance:\n Mass: 156.00 kg\n Factor of Safety: 1.23\n Max Deflection: 1.46e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 155.99750751054876, + "fos_buckling": 1.2319942477813115, + "fos_yielding": 3.727434451381587, + "deflection": 0.014641881640804428, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.004874)" + }, + "parent_node_id": "node_646", + "improvement_over_parent": null + }, + "node_648": { + "node_id": "node_648", + "content": "MODIFICATION: Increase 16 thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0033)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0048)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M18: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n\nPerformance:\n Mass: 157.63 kg\n Factor of Safety: 1.23\n Max Deflection: 1.47e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.63029307973733, + "fos_buckling": 1.2286740165288037, + "fos_yielding": 3.726712490766394, + "deflection": 0.014689019158710542, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.269)" + }, + "parent_node_id": "node_647", + "improvement_over_parent": null + }, + "node_649": { + "node_id": "node_649", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0054)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M18: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n\nPerformance:\n Mass: 176.42 kg\n Factor of Safety: 1.35\n Max Deflection: 1.32e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.41764496601562, + "fos_buckling": 1.3517996480197187, + "fos_yielding": 4.169040668135063, + "deflection": 0.013157897683275604, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.129)" + }, + "parent_node_id": "node_648", + "improvement_over_parent": null + }, + "node_650": { + "node_id": "node_650", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0063)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n Mass: 204.66 kg\n Factor of Safety: 1.53\n Max Deflection: 1.14e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.66493091964932, + "fos_buckling": 1.5277725368172077, + "fos_yielding": 4.833378244220081, + "deflection": 0.011384702391216127, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.176)" + }, + "parent_node_id": "node_649", + "improvement_over_parent": null + }, + "node_651": { + "node_id": "node_651", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_650", + "improvement_over_parent": null + }, + "node_652": { + "node_id": "node_652", + "content": "INITIAL DESIGN (Trace 91)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0033)]\n\nPerformance:\n Mass: 130.95 kg\n Factor of Safety: 0.83\n Max Deflection: 1.74e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 130.9452652622702, + "fos_buckling": 0.8258511075583971, + "fos_yielding": 3.206211514357319, + "deflection": 0.017435031752037214, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_653": { + "node_id": "node_653", + "content": "MODIFICATION: Increase 20 thickness by 51%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n\nPerformance:\n Mass: 135.41 kg\n Factor of Safety: 1.08\n Max Deflection: 1.68e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 135.41429904215266, + "fos_buckling": 1.0792972636371383, + "fos_yielding": 3.205856998584428, + "deflection": 0.016800021726305826, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(20, thickness, 1.508)" + }, + "parent_node_id": "node_652", + "improvement_over_parent": null + }, + "node_654": { + "node_id": "node_654", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n\nPerformance:\n Mass: 171.83 kg\n Factor of Safety: 1.32\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.8276511571934, + "fos_buckling": 1.324515293384601, + "fos_yielding": 4.063945403432113, + "deflection": 0.013310594173822694, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.290)" + }, + "parent_node_id": "node_653", + "improvement_over_parent": null + }, + "node_655": { + "node_id": "node_655", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.53 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.5286079856065, + "fos_buckling": 1.5287238979206343, + "fos_yielding": 4.833121225168175, + "deflection": 0.011235850661172534, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.209)" + }, + "parent_node_id": "node_654", + "improvement_over_parent": null + }, + "node_656": { + "node_id": "node_656", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_655", + "improvement_over_parent": null + }, + "node_657": { + "node_id": "node_657", + "content": "INITIAL DESIGN (Trace 92)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 0, + "fos_buckling": 0, + "fos_yielding": 0, + "deflection": Infinity, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_658": { + "node_id": "node_658", + "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n Mass: 189.32 kg\n Factor of Safety: 1.09\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.32395525733475, + "fos_buckling": 1.0939437038179398, + "fos_yielding": 4.8357224411230675, + "deflection": 0.01237328781976624, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)" + }, + "parent_node_id": "node_657", + "improvement_over_parent": null + }, + "node_659": { + "node_id": "node_659", + "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n Mass: 203.21 kg\n Factor of Safety: 1.41\n Max Deflection: 1.13e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.20886213295634, + "fos_buckling": 1.414780964016262, + "fos_yielding": 4.682591886224979, + "deflection": 0.011285918866765339, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)" + }, + "parent_node_id": "node_658", + "improvement_over_parent": null + }, + "node_660": { + "node_id": "node_660", + "content": "MODIFICATION: Increase 12 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0073)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n Mass: 205.71 kg\n Factor of Safety: 1.41\n Max Deflection: 1.12e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.70512355510598, + "fos_buckling": 1.4147081768230558, + "fos_yielding": 4.682350977752927, + "deflection": 0.011190208704500673, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.224)" + }, + "parent_node_id": "node_659", + "improvement_over_parent": null + }, + "node_661": { + "node_id": "node_661", + "content": "MODIFICATION: Increase 11 thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0056)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0073)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n Mass: 206.75 kg\n Factor of Safety: 1.47\n Max Deflection: 1.11e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.75450081049917, + "fos_buckling": 1.465004544977305, + "fos_yielding": 4.863025633529305, + "deflection": 0.01113135635561235, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.269)" + }, + "parent_node_id": "node_660", + "improvement_over_parent": null + }, + "node_662": { + "node_id": "node_662", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_661", + "improvement_over_parent": null + }, + "node_663": { + "node_id": "node_663", + "content": "INITIAL DESIGN (Trace 93)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0025)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0029)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0034)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0032)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0020)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0030)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0033)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0026)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0027)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0012)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0009)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0019)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0025)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0028)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0022)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0024)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0026)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0027)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0023)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0029)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0036)]\n\nPerformance:\n Mass: 100.08 kg\n Factor of Safety: 0.82\n Max Deflection: 2.26e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 100.07981126014221, + "fos_buckling": 0.8236661725670721, + "fos_yielding": 2.3713903424080365, + "deflection": 0.022613794596387193, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_664": { + "node_id": "node_664", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0029)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0040)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0038)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0023)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0035)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0031)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0031)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0023)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0029)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0033)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0026)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0029)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0031)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0031)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0027)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0042)]\n\nPerformance:\n Mass: 116.48 kg\n Factor of Safety: 0.94\n Max Deflection: 1.95e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 116.47792596585204, + "fos_buckling": 0.9447696957597801, + "fos_yielding": 2.7587285192858118, + "deflection": 0.019477187566341078, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.172)" + }, + "parent_node_id": "node_663", + "improvement_over_parent": null + }, + "node_665": { + "node_id": "node_665", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n\nPerformance:\n Mass: 137.13 kg\n Factor of Safety: 1.09\n Max Deflection: 1.66e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 137.1345310703291, + "fos_buckling": 1.0918285781507349, + "fos_yielding": 3.246170939875974, + "deflection": 0.01659365546595344, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.188)" + }, + "parent_node_id": "node_664", + "improvement_over_parent": null + }, + "node_666": { + "node_id": "node_666", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n Mass: 169.22 kg\n Factor of Safety: 1.31\n Max Deflection: 1.35e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.21774197854106, + "fos_buckling": 1.3081531068472958, + "fos_yielding": 4.002181259435898, + "deflection": 0.013510883486042425, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.252)" + }, + "parent_node_id": "node_665", + "improvement_over_parent": null + }, + "node_667": { + "node_id": "node_667", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.66 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.65959740645192, + "fos_buckling": 1.5301473602033067, + "fos_yielding": 4.83582443030577, + "deflection": 0.011228993320282217, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.230)" + }, + "parent_node_id": "node_666", + "improvement_over_parent": null + }, + "node_668": { + "node_id": "node_668", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_667", + "improvement_over_parent": null + }, + "node_669": { + "node_id": "node_669", + "content": "INITIAL DESIGN (Trace 94)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0031)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0042)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0024)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0037)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0033)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0031)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0030)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0024)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n\nPerformance:\n Mass: 92.05 kg\n Factor of Safety: 0.18\n Max Deflection: 3.22e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 92.05092736094758, + "fos_buckling": 0.18215935422284793, + "fos_yielding": 1.3147792170058104, + "deflection": 32242113609143.81, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_670": { + "node_id": "node_670", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0031)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0042)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0024)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0037)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0033)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0031)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0030)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0024)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M18: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n\nPerformance:\n Mass: 96.67 kg\n Factor of Safety: 0.29\n Max Deflection: 3.37e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 96.66736140314705, + "fos_buckling": 0.2906141460094339, + "fos_yielding": 2.0341213343722893, + "deflection": 0.03365966328161934, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.002699)" + }, + "parent_node_id": "node_669", + "improvement_over_parent": null + }, + "node_671": { + "node_id": "node_671", + "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0031)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0042)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0024)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0037)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0033)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0031)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0030)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0024)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M18: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n\nPerformance:\n Mass: 104.11 kg\n Factor of Safety: 0.31\n Max Deflection: 3.11e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 104.10633992763385, + "fos_buckling": 0.31271710234085753, + "fos_yielding": 2.033890266867875, + "deflection": 0.031125963616523766, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.003426)" + }, + "parent_node_id": "node_670", + "improvement_over_parent": null + }, + "node_672": { + "node_id": "node_672", + "content": "MODIFICATION: Increase 3 thickness by 62%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0031)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0042)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0039)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0037)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0033)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0031)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0030)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0024)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M18: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n\nPerformance:\n Mass: 107.23 kg\n Factor of Safety: 0.31\n Max Deflection: 3.11e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 107.2261456397557, + "fos_buckling": 0.3126338378209927, + "fos_yielding": 2.033599621791559, + "deflection": 0.031132843458419452, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.618)" + }, + "parent_node_id": "node_671", + "improvement_over_parent": null + }, + "node_673": { + "node_id": "node_673", + "content": "MODIFICATION: Increase 17 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0031)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0042)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0039)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0037)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0033)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0031)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0030)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0024)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M18: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n\nPerformance:\n Mass: 110.22 kg\n Factor of Safety: 0.31\n Max Deflection: 2.90e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 110.22275512218675, + "fos_buckling": 0.3125539030240721, + "fos_yielding": 2.032948531496887, + "deflection": 0.02898630527323757, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.391)" + }, + "parent_node_id": "node_672", + "improvement_over_parent": null + }, + "node_674": { + "node_id": "node_674", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0031)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0066)]\n M18: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n\nPerformance:\n Mass: 143.40 kg\n Factor of Safety: 0.39\n Max Deflection: 2.24e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 143.40204052441683, + "fos_buckling": 0.39348400846043263, + "fos_yielding": 2.641198610842164, + "deflection": 0.02236680022003797, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.323)" + }, + "parent_node_id": "node_673", + "improvement_over_parent": null + }, + "node_675": { + "node_id": "node_675", + "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0031)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0066)]\n M18: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n\nPerformance:\n Mass: 159.49 kg\n Factor of Safety: 1.03\n Max Deflection: 1.41e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.48934251500867, + "fos_buckling": 1.0264772226301795, + "fos_yielding": 3.738163638305473, + "deflection": 0.01405110161977049, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.005840)" + }, + "parent_node_id": "node_674", + "improvement_over_parent": null + }, + "node_676": { + "node_id": "node_676", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0088)]\n M18: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 206.59 kg\n Factor of Safety: 1.30\n Max Deflection: 1.09e-02 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.58519807713196, + "fos_buckling": 1.3014673315351628, + "fos_yielding": 4.838937364256453, + "deflection": 0.010924222470009086, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.325)" + }, + "parent_node_id": "node_675", + "improvement_over_parent": null + }, + "node_677": { + "node_id": "node_677", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_676", + "improvement_over_parent": null + }, + "node_678": { + "node_id": "node_678", + "content": "INITIAL DESIGN (Trace 95)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n Mass: 151.20 kg\n Factor of Safety: 0.43\n Max Deflection: 1.70e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 151.19572633910337, + "fos_buckling": 0.43096859610666444, + "fos_yielding": 4.088471752276426, + "deflection": 0.016964599813837918, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_679": { + "node_id": "node_679", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n\nPerformance:\n Mass: 152.09 kg\n Factor of Safety: 0.96\n Max Deflection: 1.56e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 152.08753228877313, + "fos_buckling": 0.9580663343690705, + "fos_yielding": 4.088471752276426, + "deflection": 0.01559778875907941, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.001944)" + }, + "parent_node_id": "node_678", + "improvement_over_parent": null + }, + "node_680": { + "node_id": "node_680", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n\nPerformance:\n Mass: 158.25 kg\n Factor of Safety: 1.10\n Max Deflection: 1.48e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 158.24883035177524, + "fos_buckling": 1.0975613345656905, + "fos_yielding": 3.8389025538704105, + "deflection": 0.014823107298265211, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003668)" + }, + "parent_node_id": "node_679", + "improvement_over_parent": null + }, + "node_681": { + "node_id": "node_681", + "content": "MODIFICATION: Increase 6 thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n\nPerformance:\n Mass: 160.75 kg\n Factor of Safety: 1.22\n Max Deflection: 1.41e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 160.7518688069304, + "fos_buckling": 1.2154959578363829, + "fos_yielding": 3.8371795533038937, + "deflection": 0.01413337567531841, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.282)" + }, + "parent_node_id": "node_680", + "improvement_over_parent": null + }, + "node_682": { + "node_id": "node_682", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n Mass: 203.10 kg\n Factor of Safety: 1.49\n Max Deflection: 1.13e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.10038653222128, + "fos_buckling": 1.4879775307834513, + "fos_yielding": 4.841756664140381, + "deflection": 0.011256374302949856, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.289)" + }, + "parent_node_id": "node_681", + "improvement_over_parent": null + }, + "node_683": { + "node_id": "node_683", + "content": "MODIFICATION: Increase 15 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0071)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n Mass: 205.47 kg\n Factor of Safety: 1.51\n Max Deflection: 1.14e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 205.46508326160875, + "fos_buckling": 1.5094109419019095, + "fos_yielding": 4.84239692739307, + "deflection": 0.011370268865455406, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.233)" + }, + "parent_node_id": "node_682", + "improvement_over_parent": null + }, + "node_684": { + "node_id": "node_684", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_683", + "improvement_over_parent": null + }, + "node_685": { + "node_id": "node_685", + "content": "INITIAL DESIGN (Trace 96)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0029)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0022)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n Mass: 154.37 kg\n Factor of Safety: 1.11\n Max Deflection: 1.51e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 154.36893283683062, + "fos_buckling": 1.1079480732053926, + "fos_yielding": 3.779290520095067, + "deflection": 0.015075710761514666, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_686": { + "node_id": "node_686", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nPerformance:\n Mass: 171.81 kg\n Factor of Safety: 1.22\n Max Deflection: 1.36e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.80628250755433, + "fos_buckling": 1.216880119721625, + "fos_yielding": 4.203199750646774, + "deflection": 0.013576834169801844, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.122)" + }, + "parent_node_id": "node_685", + "improvement_over_parent": null + }, + "node_687": { + "node_id": "node_687", + "content": "MODIFICATION: Increase 6 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nPerformance:\n Mass: 174.30 kg\n Factor of Safety: 1.26\n Max Deflection: 1.30e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.2967905259544, + "fos_buckling": 1.255172152607629, + "fos_yielding": 4.201452297932459, + "deflection": 0.013018707876203578, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.252)" + }, + "parent_node_id": "node_686", + "improvement_over_parent": null + }, + "node_688": { + "node_id": "node_688", + "content": "MODIFICATION: Increase 11 thickness by 43%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nPerformance:\n Mass: 175.07 kg\n Factor of Safety: 1.20\n Max Deflection: 1.30e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.06732490839306, + "fos_buckling": 1.202870597353142, + "fos_yielding": 4.200702157843684, + "deflection": 0.013009411238839346, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.431)" + }, + "parent_node_id": "node_687", + "improvement_over_parent": null + }, + "node_689": { + "node_id": "node_689", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 201.71 kg\n Factor of Safety: 1.36\n Max Deflection: 1.13e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.70980078279734, + "fos_buckling": 1.3641719829393846, + "fos_yielding": 4.835792682526292, + "deflection": 0.011335375726181344, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.167)" + }, + "parent_node_id": "node_688", + "improvement_over_parent": null + }, + "node_690": { + "node_id": "node_690", + "content": "MODIFICATION: Increase 7 thickness by 50%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.67 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.6695784934713, + "fos_buckling": 1.530202389569512, + "fos_yielding": 4.835858011377033, + "deflection": 0.01122811762000595, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.499)" + }, + "parent_node_id": "node_689", + "improvement_over_parent": null + }, + "node_691": { + "node_id": "node_691", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_690", + "improvement_over_parent": null + }, + "node_692": { + "node_id": "node_692", + "content": "INITIAL DESIGN (Trace 97)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n Mass: 151.87 kg\n Factor of Safety: 0.20\n Max Deflection: 1.47e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 151.86542844124335, + "fos_buckling": 0.2006625452289701, + "fos_yielding": 3.7886416785496095, + "deflection": 0.01473966108273359, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_693": { + "node_id": "node_693", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n Mass: 170.91 kg\n Factor of Safety: 0.22\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.91119243607932, + "fos_buckling": 0.22210674700941496, + "fos_yielding": 4.261607695914625, + "deflection": 0.013119198645615962, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.136)" + }, + "parent_node_id": "node_692", + "improvement_over_parent": null + }, + "node_694": { + "node_id": "node_694", + "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n\nPerformance:\n Mass: 181.02 kg\n Factor of Safety: 1.38\n Max Deflection: 1.27e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.01803817151395, + "fos_buckling": 1.384028431838634, + "fos_yielding": 4.279877683862732, + "deflection": 0.012652141335632541, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.005009)" + }, + "parent_node_id": "node_693", + "improvement_over_parent": null + }, + "node_695": { + "node_id": "node_695", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n Mass: 204.58 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.57849224549054, + "fos_buckling": 1.5296494340694766, + "fos_yielding": 4.833874776430789, + "deflection": 0.01123351777347168, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.143)" + }, + "parent_node_id": "node_694", + "improvement_over_parent": null + }, + "node_696": { + "node_id": "node_696", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_695", + "improvement_over_parent": null + }, + "node_697": { + "node_id": "node_697", + "content": "INITIAL DESIGN (Trace 98)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0044)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0032)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0034)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0028)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0036)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0028)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0034)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0032)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0046)]\n\nPerformance:\n Mass: 124.03 kg\n Factor of Safety: 0.91\n Max Deflection: 1.86e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 124.02752532624004, + "fos_buckling": 0.9092279433414315, + "fos_yielding": 2.538196998805106, + "deflection": 0.01857437365806787, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_698": { + "node_id": "node_698", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0037)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0032)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n Mass: 139.68 kg\n Factor of Safety: 1.01\n Max Deflection: 1.65e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 139.6795222112486, + "fos_buckling": 1.0133092564209543, + "fos_yielding": 2.8602935222082255, + "deflection": 0.01652909299589857, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.134)" + }, + "parent_node_id": "node_697", + "improvement_over_parent": null + }, + "node_699": { + "node_id": "node_699", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0047)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n Mass: 178.01 kg\n Factor of Safety: 1.26\n Max Deflection: 1.30e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.0097598267926, + "fos_buckling": 1.258039616662219, + "fos_yielding": 3.6512372810261664, + "deflection": 0.01303908569820574, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.297)" + }, + "parent_node_id": "node_698", + "improvement_over_parent": null + }, + "node_700": { + "node_id": "node_700", + "content": "MODIFICATION: Increase 5 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n Mass: 179.74 kg\n Factor of Safety: 1.26\n Max Deflection: 1.27e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.7401221496639, + "fos_buckling": 1.2591872398894601, + "fos_yielding": 3.6545680542835233, + "deflection": 0.012682139225135655, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.200)" + }, + "parent_node_id": "node_699", + "improvement_over_parent": null + }, + "node_701": { + "node_id": "node_701", + "content": "MODIFICATION: Increase 8 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n Mass: 180.55 kg\n Factor of Safety: 1.37\n Max Deflection: 1.26e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.55483703705755, + "fos_buckling": 1.3673555288013455, + "fos_yielding": 4.312611892711537, + "deflection": 0.01262269987652445, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.202)" + }, + "parent_node_id": "node_700", + "improvement_over_parent": null + }, + "node_702": { + "node_id": "node_702", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 202.76 kg\n Factor of Safety: 1.50\n Max Deflection: 1.13e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 202.75827478661733, + "fos_buckling": 1.5034127554655485, + "fos_yielding": 4.83952038551358, + "deflection": 0.011277462128235681, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.135)" + }, + "parent_node_id": "node_701", + "improvement_over_parent": null + }, + "node_703": { + "node_id": "node_703", + "content": "MODIFICATION: Increase 19 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.73 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.73255343384088, + "fos_buckling": 1.530647372184354, + "fos_yielding": 4.839531813778833, + "deflection": 0.011225973644219954, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(19, thickness, 1.182)" + }, + "parent_node_id": "node_702", + "improvement_over_parent": null + }, + "node_704": { + "node_id": "node_704", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_703", + "improvement_over_parent": null + }, + "node_705": { + "node_id": "node_705", + "content": "INITIAL DESIGN (Trace 99)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0049)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0035)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0047)]\n\nPerformance:\n Mass: 176.35 kg\n Factor of Safety: 1.02\n Max Deflection: 1.42e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.34974987253818, + "fos_buckling": 1.0158621051200754, + "fos_yielding": 4.900930905620773, + "deflection": 0.014184314617370566, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_706": { + "node_id": "node_706", + "content": "MODIFICATION: Increase 18 thickness by 66%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0049)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0035)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 184.19 kg\n Factor of Safety: 1.02\n Max Deflection: 1.37e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.18707972254674, + "fos_buckling": 1.0151675806721958, + "fos_yielding": 4.900693051131778, + "deflection": 0.013709575522665158, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(18, thickness, 1.661)" + }, + "parent_node_id": "node_705", + "improvement_over_parent": null + }, + "node_707": { + "node_id": "node_707", + "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0049)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0035)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n Mass: 192.80 kg\n Factor of Safety: 0.93\n Max Deflection: 1.39e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.79756875562063, + "fos_buckling": 0.9255067193226499, + "fos_yielding": 4.556518528575233, + "deflection": 0.013909476605780976, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)" + }, + "parent_node_id": "node_706", + "improvement_over_parent": null + }, + "node_708": { + "node_id": "node_708", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0049)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0035)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n Mass: 193.51 kg\n Factor of Safety: 0.97\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.5137005820943, + "fos_buckling": 0.9721277832785161, + "fos_yielding": 4.786046566893816, + "deflection": 0.013346121939581694, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)" + }, + "parent_node_id": "node_707", + "improvement_over_parent": null + }, + "node_709": { + "node_id": "node_709", + "content": "MODIFICATION: Increase 3 thickness by 40%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0035)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n Mass: 197.32 kg\n Factor of Safety: 0.97\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.31726982618648, + "fos_buckling": 0.9689993263969108, + "fos_yielding": 4.770644332151192, + "deflection": 0.013092221785731438, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.401)" + }, + "parent_node_id": "node_708", + "improvement_over_parent": null + }, + "node_710": { + "node_id": "node_710", + "content": "MODIFICATION: Increase 6 thickness by 34%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n Mass: 199.85 kg\n Factor of Safety: 1.19\n Max Deflection: 1.22e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.84927408241794, + "fos_buckling": 1.1948333470641213, + "fos_yielding": 4.840847235846198, + "deflection": 0.012190686902226047, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.344)" + }, + "parent_node_id": "node_709", + "improvement_over_parent": null + }, + "node_711": { + "node_id": "node_711", + "content": "MODIFICATION: Increase 6 thickness by 51%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n Mass: 204.69 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.68648578113118, + "fos_buckling": 1.5296277521787107, + "fos_yielding": 4.836793523553599, + "deflection": 0.011228058617878662, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.513)" + }, + "parent_node_id": "node_710", + "improvement_over_parent": null + }, + "node_712": { + "node_id": "node_712", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_711", + "improvement_over_parent": null + }, + "node_713": { + "node_id": "node_713", + "content": "INITIAL DESIGN (Trace 100)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n\nPerformance:\n Mass: 159.46 kg\n Factor of Safety: 0.88\n Max Deflection: 1.51e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.4647490763925, + "fos_buckling": 0.8788533281532529, + "fos_yielding": 4.087594368401777, + "deflection": 0.015138491555418979, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_714": { + "node_id": "node_714", + "content": "MODIFICATION: Increase 6 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n\nPerformance:\n Mass: 162.34 kg\n Factor of Safety: 0.88\n Max Deflection: 1.48e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.33581317578884, + "fos_buckling": 0.8790731931729647, + "fos_yielding": 4.087307475802788, + "deflection": 0.01477906220457589, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.312)" + }, + "parent_node_id": "node_713", + "improvement_over_parent": null + }, + "node_715": { + "node_id": "node_715", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 192.64 kg\n Factor of Safety: 1.02\n Max Deflection: 1.25e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.6384959310273, + "fos_buckling": 1.0165545029143896, + "fos_yielding": 4.846170527559017, + "deflection": 0.012487304966775073, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.205)" + }, + "parent_node_id": "node_714", + "improvement_over_parent": null + }, + "node_716": { + "node_id": "node_716", + "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n Mass: 195.75 kg\n Factor of Safety: 1.02\n Max Deflection: 1.08e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.75387383074772, + "fos_buckling": 1.0160016991396381, + "fos_yielding": 4.845958269875665, + "deflection": 0.010818737171593776, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)" + }, + "parent_node_id": "node_715", + "improvement_over_parent": null + }, + "node_717": { + "node_id": "node_717", + "content": "MODIFICATION: Increase 9 thickness by 62%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n Mass: 196.16 kg\n Factor of Safety: 1.02\n Max Deflection: 1.08e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.16234483056576, + "fos_buckling": 1.0160741454422753, + "fos_yielding": 4.851427310427034, + "deflection": 0.010819563565665357, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.623)" + }, + "parent_node_id": "node_716", + "improvement_over_parent": null + }, + "node_718": { + "node_id": "node_718", + "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n Mass: 204.77 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.77283386363965, + "fos_buckling": 1.530872172565727, + "fos_yielding": 4.838717178803146, + "deflection": 0.011223068260897527, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)" + }, + "parent_node_id": "node_717", + "improvement_over_parent": null + }, + "node_719": { + "node_id": "node_719", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_718", + "improvement_over_parent": null + }, + "node_720": { + "node_id": "node_720", + "content": "INITIAL DESIGN (Trace 101)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0026)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0022)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0040)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0054)]\n\nPerformance:\n Mass: 134.19 kg\n Factor of Safety: 0.83\n Max Deflection: 1.72e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 134.18700602456693, + "fos_buckling": 0.8297604820029506, + "fos_yielding": 3.507681943696647, + "deflection": 0.0172049110704522, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_721": { + "node_id": "node_721", + "content": "MODIFICATION: Increase 12 thickness by 44%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0022)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0040)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0054)]\n\nPerformance:\n Mass: 135.28 kg\n Factor of Safety: 0.83\n Max Deflection: 1.72e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 135.2774088485756, + "fos_buckling": 0.8297604820029506, + "fos_yielding": 3.507681943696647, + "deflection": 0.0172049110704522, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.441)" + }, + "parent_node_id": "node_720", + "improvement_over_parent": null + }, + "node_722": { + "node_id": "node_722", + "content": "MODIFICATION: Increase 14 thickness by 52%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0040)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0054)]\n\nPerformance:\n Mass: 137.12 kg\n Factor of Safety: 0.83\n Max Deflection: 1.71e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 137.11777983553912, + "fos_buckling": 0.8297171558225894, + "fos_yielding": 3.479855056625009, + "deflection": 0.017095787564293495, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.522)" + }, + "parent_node_id": "node_721", + "improvement_over_parent": null + }, + "node_723": { + "node_id": "node_723", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n Mass: 152.30 kg\n Factor of Safety: 0.91\n Max Deflection: 1.54e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 152.30462168916605, + "fos_buckling": 0.9078329478569248, + "fos_yielding": 3.8636178275338304, + "deflection": 0.015425665305560209, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.119)" + }, + "parent_node_id": "node_722", + "improvement_over_parent": null + }, + "node_724": { + "node_id": "node_724", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 190.73 kg\n Factor of Safety: 1.09\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.73377029427678, + "fos_buckling": 1.0934242407287489, + "fos_yielding": 4.833231819339388, + "deflection": 0.012387525269027104, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.277)" + }, + "parent_node_id": "node_723", + "improvement_over_parent": null + }, + "node_725": { + "node_id": "node_725", + "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n Mass: 204.62 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.61867716989838, + "fos_buckling": 1.5299834112097914, + "fos_yielding": 4.834532524453143, + "deflection": 0.01123147410658953, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)" + }, + "parent_node_id": "node_724", + "improvement_over_parent": null + }, + "node_726": { + "node_id": "node_726", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_725", + "improvement_over_parent": null + }, + "node_727": { + "node_id": "node_727", + "content": "INITIAL DESIGN (Trace 102)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0037)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n Mass: 144.26 kg\n Factor of Safety: 0.86\n Max Deflection: 1.56e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 144.26140862570918, + "fos_buckling": 0.8635704052858354, + "fos_yielding": 4.0259108645979085, + "deflection": 0.015630955574642544, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_728": { + "node_id": "node_728", + "content": "MODIFICATION: Increase 12 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n Mass: 146.60 kg\n Factor of Safety: 0.86\n Max Deflection: 1.55e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 146.6038699911664, + "fos_buckling": 0.863746323070681, + "fos_yielding": 4.062333338542769, + "deflection": 0.0155240059849412, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.314)" + }, + "parent_node_id": "node_727", + "improvement_over_parent": null + }, + "node_729": { + "node_id": "node_729", + "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n\nPerformance:\n Mass: 153.73 kg\n Factor of Safety: 0.30\n Max Deflection: 1.68e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 153.732607431286, + "fos_buckling": 0.3044736546157123, + "fos_yielding": 4.061794615196406, + "deflection": 0.01684032312553136, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004048)" + }, + "parent_node_id": "node_728", + "improvement_over_parent": null + }, + "node_730": { + "node_id": "node_730", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n Mass: 185.79 kg\n Factor of Safety: 0.36\n Max Deflection: 1.40e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.7888892286099, + "fos_buckling": 0.3555154867786029, + "fos_yielding": 4.904663266949615, + "deflection": 0.013996939710513029, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.229)" + }, + "parent_node_id": "node_729", + "improvement_over_parent": null + }, + "node_731": { + "node_id": "node_731", + "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n Mass: 195.25 kg\n Factor of Safety: 0.43\n Max Deflection: 1.27e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.2532037906647, + "fos_buckling": 0.425915290317589, + "fos_yielding": 4.904375682079181, + "deflection": 0.012660099214505234, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)" + }, + "parent_node_id": "node_730", + "improvement_over_parent": null + }, + "node_732": { + "node_id": "node_732", + "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n Mass: 204.77 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.76886160766506, + "fos_buckling": 1.530815126431691, + "fos_yielding": 4.838578385059668, + "deflection": 0.011222994959901979, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.005227)" + }, + "parent_node_id": "node_731", + "improvement_over_parent": null + }, + "node_733": { + "node_id": "node_733", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_732", + "improvement_over_parent": null + }, + "node_734": { + "node_id": "node_734", + "content": "INITIAL DESIGN (Trace 103)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0030)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0042)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0039)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0037)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0032)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0031)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0030)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0033)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0044)]\n\nPerformance:\n Mass: 120.91 kg\n Factor of Safety: 0.98\n Max Deflection: 1.88e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 120.91493777131569, + "fos_buckling": 0.976873537558816, + "fos_yielding": 2.8634761009790366, + "deflection": 0.018774724820949554, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_735": { + "node_id": "node_735", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0053)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0050)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0047)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0041)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0039)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0043)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0056)]\n\nPerformance:\n Mass: 151.17 kg\n Factor of Safety: 1.19\n Max Deflection: 1.51e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 151.16543442948986, + "fos_buckling": 1.1882374457812301, + "fos_yielding": 3.5769559054207107, + "deflection": 0.015084470017520859, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.267)" + }, + "parent_node_id": "node_734", + "improvement_over_parent": null + }, + "node_736": { + "node_id": "node_736", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0054)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n\nPerformance:\n Mass: 184.44 kg\n Factor of Safety: 1.41\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.43611268367658, + "fos_buckling": 1.4056505494958478, + "fos_yielding": 4.3603331150486735, + "deflection": 0.01242362551266647, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.239)" + }, + "parent_node_id": "node_735", + "improvement_over_parent": null + }, + "node_737": { + "node_id": "node_737", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.58 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.57725158046165, + "fos_buckling": 1.5296521268044334, + "fos_yielding": 4.833889372932082, + "deflection": 0.01123337871241379, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.120)" + }, + "parent_node_id": "node_736", + "improvement_over_parent": null + }, + "node_738": { + "node_id": "node_738", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_737", + "improvement_over_parent": null + }, + "node_739": { + "node_id": "node_739", + "content": "INITIAL DESIGN (Trace 104)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (17 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 175.26 kg\n Factor of Safety: 1.01\n Max Deflection: 1.27e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.26017285450922, + "fos_buckling": 1.0077189638470738, + "fos_yielding": 3.154353695456372, + "deflection": 12733051782952.926, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_740": { + "node_id": "node_740", + "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0027)]\n\nPerformance:\n Mass: 180.89 kg\n Factor of Safety: 0.54\n Max Deflection: 1.61e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.88740424152112, + "fos_buckling": 0.5374467426703515, + "fos_yielding": 5.162258209849386, + "deflection": 0.016116928226914257, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.002691)" + }, + "parent_node_id": "node_739", + "improvement_over_parent": null + }, + "node_741": { + "node_id": "node_741", + "content": "MODIFICATION: Increase 14 thickness by 59%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0079)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0027)]\n\nPerformance:\n Mass: 185.27 kg\n Factor of Safety: 0.54\n Max Deflection: 1.61e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.26810291519442, + "fos_buckling": 0.5368405488439014, + "fos_yielding": 5.162258209849386, + "deflection": 0.016124064433918266, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.595)" + }, + "parent_node_id": "node_740", + "improvement_over_parent": null + }, + "node_742": { + "node_id": "node_742", + "content": "MODIFICATION: Increase 14 thickness by 34%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0106)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0027)]\n\nPerformance:\n Mass: 188.73 kg\n Factor of Safety: 0.54\n Max Deflection: 1.61e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.7297001631288, + "fos_buckling": 0.5363625050986728, + "fos_yielding": 5.162258209849386, + "deflection": 0.01613381971823259, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.335)" + }, + "parent_node_id": "node_741", + "improvement_over_parent": null + }, + "node_743": { + "node_id": "node_743", + "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0106)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0027)]\n M18: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n Mass: 198.25 kg\n Factor of Safety: 1.03\n Max Deflection: 1.22e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.24535798012914, + "fos_buckling": 1.0275923578410173, + "fos_yielding": 5.162258209849386, + "deflection": 0.012189452125200236, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.005227)" + }, + "parent_node_id": "node_742", + "improvement_over_parent": null + }, + "node_744": { + "node_id": "node_744", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0106)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0027)]\n M18: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n Mass: 206.03 kg\n Factor of Safety: 1.08\n Max Deflection: 1.14e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.02700649238162, + "fos_buckling": 1.0838883989097274, + "fos_yielding": 4.823459618024992, + "deflection": 0.011362143955813885, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004727)" + }, + "parent_node_id": "node_743", + "improvement_over_parent": null + }, + "node_745": { + "node_id": "node_745", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0106)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0027)]\n M18: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n Mass: 206.74 kg\n Factor of Safety: 1.19\n Max Deflection: 1.12e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.74313831885527, + "fos_buckling": 1.19090121763836, + "fos_yielding": 4.830070479878517, + "deflection": 0.011170607272719004, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)" + }, + "parent_node_id": "node_744", + "improvement_over_parent": null + }, + "node_746": { + "node_id": "node_746", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_745", + "improvement_over_parent": null + }, + "node_747": { + "node_id": "node_747", + "content": "INITIAL DESIGN (Trace 105)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0047)]\n\nPerformance:\n Mass: 148.29 kg\n Factor of Safety: 0.81\n Max Deflection: 1.44e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 148.28606943361424, + "fos_buckling": 0.8141166027747888, + "fos_yielding": 3.7483114302180986, + "deflection": 0.01439120070904561, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_748": { + "node_id": "node_748", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n\nPerformance:\n Mass: 192.27 kg\n Factor of Safety: 1.02\n Max Deflection: 1.11e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.27103231137772, + "fos_buckling": 1.0165376489601998, + "fos_yielding": 4.852214293701889, + "deflection": 0.011143963510751484, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.325)" + }, + "parent_node_id": "node_747", + "improvement_over_parent": null + }, + "node_749": { + "node_id": "node_749", + "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n Mass: 200.88 kg\n Factor of Safety: 1.34\n Max Deflection: 1.14e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.8815213444516, + "fos_buckling": 1.3428540671738476, + "fos_yielding": 4.839691403518449, + "deflection": 0.011432361206455159, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)" + }, + "parent_node_id": "node_748", + "improvement_over_parent": null + }, + "node_750": { + "node_id": "node_750", + "content": "MODIFICATION: Increase 20 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0062)]\n\nPerformance:\n Mass: 202.83 kg\n Factor of Safety: 1.34\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.82670784481815, + "fos_buckling": 1.3414027077007518, + "fos_yielding": 4.838767399204634, + "deflection": 0.011466996653327143, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(20, thickness, 1.255)" + }, + "parent_node_id": "node_749", + "improvement_over_parent": null + }, + "node_751": { + "node_id": "node_751", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_750", + "improvement_over_parent": null + }, + "node_752": { + "node_id": "node_752", + "content": "INITIAL DESIGN (Trace 106)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0025)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n Mass: 133.90 kg\n Factor of Safety: 0.16\n Max Deflection: 1.77e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 133.902241171248, + "fos_buckling": 0.16038902332341654, + "fos_yielding": 3.651859620940426, + "deflection": 0.017749060770425422, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_753": { + "node_id": "node_753", + "content": "MODIFICATION: Increase 6 thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0025)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n Mass: 136.39 kg\n Factor of Safety: 0.16\n Max Deflection: 1.69e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 136.38927178614364, + "fos_buckling": 0.16028886165653342, + "fos_yielding": 3.64957906370978, + "deflection": 0.016937520950157717, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.287)" + }, + "parent_node_id": "node_752", + "improvement_over_parent": null + }, + "node_754": { + "node_id": "node_754", + "content": "MODIFICATION: Increase 0 thickness by 62%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n Mass: 138.81 kg\n Factor of Safety: 0.16\n Max Deflection: 1.68e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 138.8073286123362, + "fos_buckling": 0.1574354109067292, + "fos_yielding": 3.5846095205475894, + "deflection": 0.016801143846707882, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.616)" + }, + "parent_node_id": "node_753", + "improvement_over_parent": null + }, + "node_755": { + "node_id": "node_755", + "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n\nPerformance:\n Mass: 146.30 kg\n Factor of Safety: 0.16\n Max Deflection: 1.52e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 146.3002857472935, + "fos_buckling": 0.15733701801624253, + "fos_yielding": 3.5823692361670854, + "deflection": 0.015211802223922348, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.003264)" + }, + "parent_node_id": "node_754", + "improvement_over_parent": null + }, + "node_756": { + "node_id": "node_756", + "content": "MODIFICATION: Increase 18 thickness by 47%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0086)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n\nPerformance:\n Mass: 153.08 kg\n Factor of Safety: 0.16\n Max Deflection: 1.45e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 153.08259252105728, + "fos_buckling": 0.15724806293045843, + "fos_yielding": 3.5803438389228033, + "deflection": 0.014511294591410007, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(18, thickness, 1.466)" + }, + "parent_node_id": "node_755", + "improvement_over_parent": null + }, + "node_757": { + "node_id": "node_757", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0113)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n\nPerformance:\n Mass: 197.31 kg\n Factor of Safety: 0.20\n Max Deflection: 1.13e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.31281254908097, + "fos_buckling": 0.19880941024645366, + "fos_yielding": 4.651395260979397, + "deflection": 0.011300129756515823, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.319)" + }, + "parent_node_id": "node_756", + "improvement_over_parent": null + }, + "node_758": { + "node_id": "node_758", + "content": "MODIFICATION: Increase 10 thickness by 47%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0113)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n\nPerformance:\n Mass: 197.53 kg\n Factor of Safety: 0.25\n Max Deflection: 1.12e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.52922724860295, + "fos_buckling": 0.24616965540796149, + "fos_yielding": 4.81548324593623, + "deflection": 0.011247032489523263, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.475)" + }, + "parent_node_id": "node_757", + "improvement_over_parent": null + }, + "node_759": { + "node_id": "node_759", + "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0113)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n Mass: 208.96 kg\n Factor of Safety: 1.57\n Max Deflection: 1.10e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 208.95642741464258, + "fos_buckling": 1.5726006459846844, + "fos_yielding": 4.835514562658594, + "deflection": 0.011033197269113925, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.005728)" + }, + "parent_node_id": "node_758", + "improvement_over_parent": null + }, + "node_760": { + "node_id": "node_760", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_759", + "improvement_over_parent": null + }, + "node_761": { + "node_id": "node_761", + "content": "INITIAL DESIGN (Trace 107)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 187.45 kg\n Factor of Safety: 0.34\n Max Deflection: 2.83e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 187.44886997331446, + "fos_buckling": 0.337387413589152, + "fos_yielding": 2.0833452814782816, + "deflection": 0.028291692754472148, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_762": { + "node_id": "node_762", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n Mass: 199.94 kg\n Factor of Safety: 1.32\n Max Deflection: 1.14e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.9366770503312, + "fos_buckling": 1.321527385379974, + "fos_yielding": 4.813339680893443, + "deflection": 0.011440464770985086, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.006468)" + }, + "parent_node_id": "node_761", + "improvement_over_parent": null + }, + "node_763": { + "node_id": "node_763", + "content": "MODIFICATION: Increase 0 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n Mass: 201.39 kg\n Factor of Safety: 1.32\n Max Deflection: 1.14e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.3896353568172, + "fos_buckling": 1.3213416482706717, + "fos_yielding": 4.836659072977211, + "deflection": 0.011351646685361873, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.225)" + }, + "parent_node_id": "node_762", + "improvement_over_parent": null + }, + "node_764": { + "node_id": "node_764", + "content": "MODIFICATION: Increase 7 thickness by 59%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0091)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n Mass: 204.33 kg\n Factor of Safety: 1.32\n Max Deflection: 1.13e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.3294152476148, + "fos_buckling": 1.3215553261000956, + "fos_yielding": 5.697517937821911, + "deflection": 0.011254770923306432, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.590)" + }, + "parent_node_id": "node_763", + "improvement_over_parent": null + }, + "node_765": { + "node_id": "node_765", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_764", + "improvement_over_parent": null + }, + "node_766": { + "node_id": "node_766", + "content": "INITIAL DESIGN (Trace 108)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0021)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0044)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0039)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0034)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0036)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0028)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0034)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0047)]\n\nPerformance:\n Mass: 125.74 kg\n Factor of Safety: 0.95\n Max Deflection: 1.82e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 125.74284898091211, + "fos_buckling": 0.9503373696649126, + "fos_yielding": 2.985481431609571, + "deflection": 0.01816099314986146, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_767": { + "node_id": "node_767", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0026)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n\nPerformance:\n Mass: 155.71 kg\n Factor of Safety: 1.14\n Max Deflection: 1.47e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 155.70548532421444, + "fos_buckling": 1.139406923821546, + "fos_yielding": 3.693765590150989, + "deflection": 0.014729764030457757, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.255)" + }, + "parent_node_id": "node_766", + "improvement_over_parent": null + }, + "node_768": { + "node_id": "node_768", + "content": "MODIFICATION: Increase 0 thickness by 56%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n\nPerformance:\n Mass: 157.97 kg\n Factor of Safety: 1.23\n Max Deflection: 1.44e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.97057317708212, + "fos_buckling": 1.2340073436009478, + "fos_yielding": 3.7373319480818847, + "deflection": 0.014449037434233473, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.560)" + }, + "parent_node_id": "node_767", + "improvement_over_parent": null + }, + "node_769": { + "node_id": "node_769", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.74 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.74435580373276, + "fos_buckling": 1.5306812591479502, + "fos_yielding": 4.837855391517725, + "deflection": 0.011224478712918177, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.325)" + }, + "parent_node_id": "node_768", + "improvement_over_parent": null + }, + "node_770": { + "node_id": "node_770", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_769", + "improvement_over_parent": null + }, + "node_771": { + "node_id": "node_771", + "content": "INITIAL DESIGN (Trace 109)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0027)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0032)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0038)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0035)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0022)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0033)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0037)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0029)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0029)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0007)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0021)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0028)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0031)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0018)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0027)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0029)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0029)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0025)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0032)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0040)]\n\nPerformance:\n Mass: 107.79 kg\n Factor of Safety: 0.83\n Max Deflection: 2.08e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 107.79472710143114, + "fos_buckling": 0.8296947258811341, + "fos_yielding": 2.563496292603138, + "deflection": 0.02081736752770958, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_772": { + "node_id": "node_772", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0044)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0039)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0034)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0008)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0036)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0021)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0034)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0046)]\n\nPerformance:\n Mass: 125.27 kg\n Factor of Safety: 0.95\n Max Deflection: 1.80e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 125.27307490776616, + "fos_buckling": 0.9452478985136675, + "fos_yielding": 2.977491922952846, + "deflection": 0.01796031165482518, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.171)" + }, + "parent_node_id": "node_771", + "improvement_over_parent": null + }, + "node_773": { + "node_id": "node_773", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n Mass: 156.51 kg\n Factor of Safety: 1.14\n Max Deflection: 1.44e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 156.50968632965828, + "fos_buckling": 1.139146664844824, + "fos_yielding": 3.7161867521363825, + "deflection": 0.01444355759733329, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.267)" + }, + "parent_node_id": "node_772", + "improvement_over_parent": null + }, + "node_774": { + "node_id": "node_774", + "content": "MODIFICATION: Increase 13 thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n Mass: 157.94 kg\n Factor of Safety: 1.08\n Max Deflection: 1.43e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.94172616474435, + "fos_buckling": 1.0816231625346684, + "fos_yielding": 3.701424233170041, + "deflection": 0.014308297412574462, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.333)" + }, + "parent_node_id": "node_773", + "improvement_over_parent": null + }, + "node_775": { + "node_id": "node_775", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 203.41 kg\n Factor of Safety: 1.32\n Max Deflection: 1.12e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.41342489907834, + "fos_buckling": 1.3222931034847367, + "fos_yielding": 4.760858956629066, + "deflection": 0.01118556443123007, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.316)" + }, + "parent_node_id": "node_774", + "improvement_over_parent": null + }, + "node_776": { + "node_id": "node_776", + "content": "MODIFICATION: Increase 9 thickness by 44%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 203.62 kg\n Factor of Safety: 1.32\n Max Deflection: 1.12e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.61823182463547, + "fos_buckling": 1.3223247400562912, + "fos_yielding": 4.760867772223273, + "deflection": 0.011185765812818034, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.439)" + }, + "parent_node_id": "node_775", + "improvement_over_parent": null + }, + "node_777": { + "node_id": "node_777", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n\nPerformance:\n Mass: 204.74 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.7448796449221, + "fos_buckling": 1.5306955006834018, + "fos_yielding": 4.838033211788912, + "deflection": 0.011224261066881782, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002506)" + }, + "parent_node_id": "node_776", + "improvement_over_parent": null + }, + "node_778": { + "node_id": "node_778", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_777", + "improvement_over_parent": null + }, + "node_779": { + "node_id": "node_779", + "content": "INITIAL DESIGN (Trace 110)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n\nPerformance:\n Mass: 155.43 kg\n Factor of Safety: 0.40\n Max Deflection: 1.88e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 155.43357837593126, + "fos_buckling": 0.39796052016914696, + "fos_yielding": 3.55551504298741, + "deflection": 0.018770384583912256, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_780": { + "node_id": "node_780", + "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n\nPerformance:\n Mass: 166.19 kg\n Factor of Safety: 0.60\n Max Deflection: 1.60e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.19398533517824, + "fos_buckling": 0.6019965766720969, + "fos_yielding": 4.078823984955752, + "deflection": 0.015993225309904942, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.005078)" + }, + "parent_node_id": "node_779", + "improvement_over_parent": null + }, + "node_781": { + "node_id": "node_781", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M20: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n\nPerformance:\n Mass: 175.65 kg\n Factor of Safety: 1.35\n Max Deflection: 1.30e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.645716340803, + "fos_buckling": 1.3497272159067977, + "fos_yielding": 4.153478858277544, + "deflection": 0.013028673939648674, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.004759)" + }, + "parent_node_id": "node_780", + "improvement_over_parent": null + }, + "node_782": { + "node_id": "node_782", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M20: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n\nPerformance:\n Mass: 204.75 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.7464667057599, + "fos_buckling": 1.5306617180275799, + "fos_yielding": 4.837848341093456, + "deflection": 0.011224381309596932, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.182)" + }, + "parent_node_id": "node_781", + "improvement_over_parent": null + }, + "node_783": { + "node_id": "node_783", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_782", + "improvement_over_parent": null + }, + "node_784": { + "node_id": "node_784", + "content": "INITIAL DESIGN (Trace 111)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0046)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0025)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n\nPerformance:\n Mass: 116.45 kg\n Factor of Safety: 0.46\n Max Deflection: 1.57e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 116.45005626031055, + "fos_buckling": 0.46422716860317076, + "fos_yielding": 3.378078132423029, + "deflection": 15663614644098.078, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_785": { + "node_id": "node_785", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0046)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0025)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n\nPerformance:\n Mass: 123.64 kg\n Factor of Safety: 0.24\n Max Deflection: 4.28e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 123.63651516325932, + "fos_buckling": 0.23626735945125774, + "fos_yielding": 1.372312202132831, + "deflection": 0.04282318386426793, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.003550)" + }, + "parent_node_id": "node_784", + "improvement_over_parent": null + }, + "node_786": { + "node_id": "node_786", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0046)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0025)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n\nPerformance:\n Mass: 131.78 kg\n Factor of Safety: 0.96\n Max Deflection: 1.72e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 131.78195732514635, + "fos_buckling": 0.9580259927328001, + "fos_yielding": 3.1611919918273, + "deflection": 0.01717723903120821, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.004082)" + }, + "parent_node_id": "node_785", + "improvement_over_parent": null + }, + "node_787": { + "node_id": "node_787", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0033)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n\nPerformance:\n Mass: 171.25 kg\n Factor of Safety: 1.21\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.253248833682, + "fos_buckling": 1.2147519838538865, + "fos_yielding": 4.102875911141822, + "deflection": 0.013295496390814588, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.323)" + }, + "parent_node_id": "node_786", + "improvement_over_parent": null + }, + "node_788": { + "node_id": "node_788", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0040)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n Mass: 202.16 kg\n Factor of Safety: 1.41\n Max Deflection: 1.13e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.1550455649125, + "fos_buckling": 1.4060439329812784, + "fos_yielding": 4.838415428059548, + "deflection": 0.011314451383524755, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.198)" + }, + "parent_node_id": "node_787", + "improvement_over_parent": null + }, + "node_789": { + "node_id": "node_789", + "content": "MODIFICATION: Increase 7 thickness by 42%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0040)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0081)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n Mass: 204.28 kg\n Factor of Safety: 1.41\n Max Deflection: 1.12e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.27648340696794, + "fos_buckling": 1.4062245157732849, + "fos_yielding": 5.656756522550344, + "deflection": 0.011237550132107815, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.418)" + }, + "parent_node_id": "node_788", + "improvement_over_parent": null + }, + "node_790": { + "node_id": "node_790", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_789", + "improvement_over_parent": null + }, + "node_791": { + "node_id": "node_791", + "content": "INITIAL DESIGN (Trace 112)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0031)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0042)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0039)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0017)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0037)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0033)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0031)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0030)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0033)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0044)]\n\nPerformance:\n Mass: 106.04 kg\n Factor of Safety: 0.21\n Max Deflection: 2.50e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 106.04066399918557, + "fos_buckling": 0.20863969972929414, + "fos_yielding": 2.466995706775343, + "deflection": 0.02503151144215802, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_792": { + "node_id": "node_792", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0030)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0049)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0019)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0052)]\n\nPerformance:\n Mass: 124.12 kg\n Factor of Safety: 0.24\n Max Deflection: 2.14e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 124.12426290827736, + "fos_buckling": 0.24106640785946487, + "fos_yielding": 2.884547666891824, + "deflection": 0.02143701477982191, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.181)" + }, + "parent_node_id": "node_791", + "improvement_over_parent": null + }, + "node_793": { + "node_id": "node_793", + "content": "MODIFICATION: Increase 1 thickness by 42%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0049)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0019)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0052)]\n\nPerformance:\n Mass: 126.48 kg\n Factor of Safety: 0.24\n Max Deflection: 2.07e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 126.47791050648021, + "fos_buckling": 0.24082895899620388, + "fos_yielding": 2.8839900375227097, + "deflection": 0.020679749931808104, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.422)" + }, + "parent_node_id": "node_792", + "improvement_over_parent": null + }, + "node_794": { + "node_id": "node_794", + "content": "MODIFICATION: Increase 4 thickness by 46%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0049)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0052)]\n\nPerformance:\n Mass: 127.59 kg\n Factor of Safety: 0.33\n Max Deflection: 1.97e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 127.59263406257196, + "fos_buckling": 0.33307633039678336, + "fos_yielding": 2.8836204138428885, + "deflection": 0.019728481174657198, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.460)" + }, + "parent_node_id": "node_793", + "improvement_over_parent": null + }, + "node_795": { + "node_id": "node_795", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n Mass: 144.48 kg\n Factor of Safety: 0.37\n Max Deflection: 1.75e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 144.47716497063104, + "fos_buckling": 0.36982580569357776, + "fos_yielding": 3.2624178947692553, + "deflection": 0.01747138299303309, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.142)" + }, + "parent_node_id": "node_794", + "improvement_over_parent": null + }, + "node_796": { + "node_id": "node_796", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 183.57 kg\n Factor of Safety: 0.45\n Max Deflection: 1.38e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.56518212358372, + "fos_buckling": 0.4485970044201921, + "fos_yielding": 4.13685664465087, + "deflection": 0.013839428126282449, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.297)" + }, + "parent_node_id": "node_795", + "improvement_over_parent": null + }, + "node_797": { + "node_id": "node_797", + "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n Mass: 192.18 kg\n Factor of Safety: 0.45\n Max Deflection: 1.44e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.17567115665761, + "fos_buckling": 0.4476414288309918, + "fos_yielding": 4.135107183357299, + "deflection": 0.014356246911526219, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)" + }, + "parent_node_id": "node_796", + "improvement_over_parent": null + }, + "node_798": { + "node_id": "node_798", + "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 204.71 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.7146634966269, + "fos_buckling": 1.5304963325350276, + "fos_yielding": 4.83718650666848, + "deflection": 0.011225844070985253, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)" + }, + "parent_node_id": "node_797", + "improvement_over_parent": null + }, + "node_799": { + "node_id": "node_799", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_798", + "improvement_over_parent": null + }, + "node_800": { + "node_id": "node_800", + "content": "INITIAL DESIGN (Trace 113)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nPerformance:\n Mass: 149.94 kg\n Factor of Safety: 0.19\n Max Deflection: 5.70e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 149.9431838938278, + "fos_buckling": 0.1897896067117407, + "fos_yielding": 0.7597818768472371, + "deflection": 0.056967803406036535, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_801": { + "node_id": "node_801", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 173.17 kg\n Factor of Safety: 0.22\n Max Deflection: 4.95e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.1708121847452, + "fos_buckling": 0.21547101563457477, + "fos_yielding": 0.8752126478040122, + "deflection": 0.04945445113359452, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.170)" + }, + "parent_node_id": "node_800", + "improvement_over_parent": null + }, + "node_802": { + "node_id": "node_802", + "content": "MODIFICATION: Increase 15 thickness by 38%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 175.39 kg\n Factor of Safety: 0.28\n Max Deflection: 4.71e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.38987713685697, + "fos_buckling": 0.2772407162129453, + "fos_yielding": 0.8749389819178938, + "deflection": 0.04705760179571925, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.381)" + }, + "parent_node_id": "node_801", + "improvement_over_parent": null + }, + "node_803": { + "node_id": "node_803", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n\nPerformance:\n Mass: 186.41 kg\n Factor of Safety: 0.28\n Max Deflection: 3.91e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 186.40553401274394, + "fos_buckling": 0.2764740069432042, + "fos_yielding": 1.3910053472118304, + "deflection": 0.03912742262249306, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.005624)" + }, + "parent_node_id": "node_802", + "improvement_over_parent": null + }, + "node_804": { + "node_id": "node_804", + "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 201.59 kg\n Factor of Safety: 0.90\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.59008802764535, + "fos_buckling": 0.8988244225376746, + "fos_yielding": 4.85331483608537, + "deflection": 0.012402686044723563, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)" + }, + "parent_node_id": "node_803", + "improvement_over_parent": null + }, + "node_805": { + "node_id": "node_805", + "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n Mass: 204.71 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70546592736576, + "fos_buckling": 1.5304440152675158, + "fos_yielding": 4.8369569649570385, + "deflection": 0.011226575808281692, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)" + }, + "parent_node_id": "node_804", + "improvement_over_parent": null + }, + "node_806": { + "node_id": "node_806", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_805", + "improvement_over_parent": null + }, + "node_807": { + "node_id": "node_807", + "content": "INITIAL DESIGN (Trace 114)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0028)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n Mass: 147.13 kg\n Factor of Safety: 0.23\n Max Deflection: 4.85e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 147.13127420657722, + "fos_buckling": 0.23114190057662992, + "fos_yielding": 1.1136161672847176, + "deflection": 0.04849842311760154, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_808": { + "node_id": "node_808", + "content": "MODIFICATION: Increase 13 thickness by 49%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n Mass: 149.52 kg\n Factor of Safety: 0.23\n Max Deflection: 4.85e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 149.51750018410664, + "fos_buckling": 0.231002645773143, + "fos_yielding": 1.12054224980645, + "deflection": 0.04851146108218016, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.488)" + }, + "parent_node_id": "node_807", + "improvement_over_parent": null + }, + "node_809": { + "node_id": "node_809", + "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n\nPerformance:\n Mass: 152.02 kg\n Factor of Safety: 0.23\n Max Deflection: 4.19e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 152.01577197542008, + "fos_buckling": 0.23090554946184402, + "fos_yielding": 1.120064532246436, + "deflection": 0.041899587816428246, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003278)" + }, + "parent_node_id": "node_808", + "improvement_over_parent": null + }, + "node_810": { + "node_id": "node_810", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n Mass: 189.54 kg\n Factor of Safety: 0.28\n Max Deflection: 3.38e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.53763278778143, + "fos_buckling": 0.27637861738734476, + "fos_yielding": 1.3903610023088546, + "deflection": 0.03376560558315563, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.271)" + }, + "parent_node_id": "node_809", + "improvement_over_parent": null + }, + "node_811": { + "node_id": "node_811", + "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 204.72 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.72218680268284, + "fos_buckling": 1.530505119691053, + "fos_yielding": 4.837250801093896, + "deflection": 0.01122599621025092, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)" + }, + "parent_node_id": "node_810", + "improvement_over_parent": null + }, + "node_812": { + "node_id": "node_812", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_811", + "improvement_over_parent": null + }, + "node_813": { + "node_id": "node_813", + "content": "INITIAL DESIGN (Trace 115)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0053)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0050)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0018)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0037)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0041)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0039)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0042)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0056)]\n\nPerformance:\n Mass: 146.68 kg\n Factor of Safety: 0.70\n Max Deflection: 1.69e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 146.67689117065876, + "fos_buckling": 0.701687331730608, + "fos_yielding": 3.6394098942945585, + "deflection": 0.01693693002391797, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_814": { + "node_id": "node_814", + "content": "MODIFICATION: Increase 4 thickness by 66%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0053)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0050)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0037)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0041)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0039)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0042)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0056)]\n\nPerformance:\n Mass: 148.19 kg\n Factor of Safety: 0.70\n Max Deflection: 1.69e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 148.19086911266683, + "fos_buckling": 0.7022329713904666, + "fos_yielding": 3.6116124958723375, + "deflection": 0.01688485284259973, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.664)" + }, + "parent_node_id": "node_813", + "improvement_over_parent": null + }, + "node_815": { + "node_id": "node_815", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0046)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n\nPerformance:\n Mass: 178.26 kg\n Factor of Safety: 0.82\n Max Deflection: 1.41e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.2594558933255, + "fos_buckling": 0.8236324535812226, + "fos_yielding": 4.3402746504947185, + "deflection": 0.014072236726044992, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.220)" + }, + "parent_node_id": "node_814", + "improvement_over_parent": null + }, + "node_816": { + "node_id": "node_816", + "content": "MODIFICATION: Increase 5 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n\nPerformance:\n Mass: 180.39 kg\n Factor of Safety: 0.82\n Max Deflection: 1.38e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.39252822428622, + "fos_buckling": 0.818823880918487, + "fos_yielding": 4.345562472095968, + "deflection": 0.013834622287373007, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.256)" + }, + "parent_node_id": "node_815", + "improvement_over_parent": null + }, + "node_817": { + "node_id": "node_817", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 201.73 kg\n Factor of Safety: 0.90\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.73189189010134, + "fos_buckling": 0.8993617662092414, + "fos_yielding": 4.856801182956331, + "deflection": 0.012394043845153578, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.130)" + }, + "parent_node_id": "node_816", + "improvement_over_parent": null + }, + "node_818": { + "node_id": "node_818", + "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n Mass: 204.85 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.84726978982175, + "fos_buckling": 1.5312687593133012, + "fos_yielding": 4.840434756385811, + "deflection": 0.011218922712157835, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)" + }, + "parent_node_id": "node_817", + "improvement_over_parent": null + }, + "node_819": { + "node_id": "node_819", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_818", + "improvement_over_parent": null + }, + "node_820": { + "node_id": "node_820", + "content": "INITIAL DESIGN (Trace 116)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0029)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n Mass: 147.59 kg\n Factor of Safety: 0.82\n Max Deflection: 1.41e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 147.5870001843151, + "fos_buckling": 0.820803766516163, + "fos_yielding": 3.724126366877416, + "deflection": 0.014090665634057913, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_821": { + "node_id": "node_821", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 189.24 kg\n Factor of Safety: 1.01\n Max Deflection: 1.10e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.23695933444222, + "fos_buckling": 1.0145721503134995, + "fos_yielding": 4.767326399925378, + "deflection": 0.011035604688076706, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.309)" + }, + "parent_node_id": "node_820", + "improvement_over_parent": null + }, + "node_822": { + "node_id": "node_822", + "content": "MODIFICATION: Increase 17 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 191.61 kg\n Factor of Safety: 1.01\n Max Deflection: 1.09e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.61419011029182, + "fos_buckling": 1.0143618581989713, + "fos_yielding": 4.7672432836662795, + "deflection": 0.010942961366339047, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.227)" + }, + "parent_node_id": "node_821", + "improvement_over_parent": null + }, + "node_823": { + "node_id": "node_823", + "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n Mass: 200.22 kg\n Factor of Safety: 1.21\n Max Deflection: 1.14e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.2246791433657, + "fos_buckling": 1.2083722274204323, + "fos_yielding": 4.7237076537124665, + "deflection": 0.011425712982386666, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)" + }, + "parent_node_id": "node_822", + "improvement_over_parent": null + }, + "node_824": { + "node_id": "node_824", + "content": "MODIFICATION: Increase 15 thickness by 46%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n Mass: 203.50 kg\n Factor of Safety: 1.32\n Max Deflection: 1.12e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.49696192060352, + "fos_buckling": 1.3214137667195105, + "fos_yielding": 4.7579136417180345, + "deflection": 0.01119238843073073, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.464)" + }, + "parent_node_id": "node_823", + "improvement_over_parent": null + }, + "node_825": { + "node_id": "node_825", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M20: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n\nPerformance:\n Mass: 204.62 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.62360974089015, + "fos_buckling": 1.5299146243991524, + "fos_yielding": 4.835050215176389, + "deflection": 0.011231040428652844, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002506)" + }, + "parent_node_id": "node_824", + "improvement_over_parent": null + }, + "node_826": { + "node_id": "node_826", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_825", + "improvement_over_parent": null + }, + "node_827": { + "node_id": "node_827", + "content": "INITIAL DESIGN (Trace 117)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n\nPerformance:\n Mass: 156.69 kg\n Factor of Safety: 0.18\n Max Deflection: 4.26e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 156.69433253465806, + "fos_buckling": 0.1795868262798306, + "fos_yielding": 1.264981641346366, + "deflection": 42602854731482.555, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_828": { + "node_id": "node_828", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n M18: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n\nPerformance:\n Mass: 157.71 kg\n Factor of Safety: 0.26\n Max Deflection: 1.74e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.70651870421003, + "fos_buckling": 0.2561450717737164, + "fos_yielding": 2.7186342427987733, + "deflection": 17403805062447.586, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002229)" + }, + "parent_node_id": "node_827", + "improvement_over_parent": null + }, + "node_829": { + "node_id": "node_829", + "content": "MODIFICATION: Increase 0 thickness by 50%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n M18: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n\nPerformance:\n Mass: 160.14 kg\n Factor of Safety: 0.17\n Max Deflection: 2.82e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 160.13872319736814, + "fos_buckling": 0.17446539517236795, + "fos_yielding": 0.9860844127543579, + "deflection": 28220665465591.477, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.502)" + }, + "parent_node_id": "node_828", + "improvement_over_parent": null + }, + "node_830": { + "node_id": "node_830", + "content": "MODIFICATION: Increase 3 thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n M18: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n\nPerformance:\n Mass: 162.73 kg\n Factor of Safety: 0.22\n Max Deflection: 2.09e+13 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.7338373787218, + "fos_buckling": 0.21808174396545993, + "fos_yielding": 2.187149162228339, + "deflection": 20919547581994.13, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.277)" + }, + "parent_node_id": "node_829", + "improvement_over_parent": null + }, + "node_831": { + "node_id": "node_831", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n\nPerformance:\n Mass: 181.13 kg\n Factor of Safety: 0.01\n Max Deflection: 9.36e+13 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.12746400185424, + "fos_buckling": 0.009992816531697571, + "fos_yielding": 0.24652110318858947, + "deflection": 93586051314732.14, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.124)" + }, + "parent_node_id": "node_830", + "improvement_over_parent": null + }, + "node_832": { + "node_id": "node_832", + "content": "MODIFICATION: Increase 6 thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n\nPerformance:\n Mass: 184.65 kg\n Factor of Safety: 0.04\n Max Deflection: 2.10e+13 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.65378881468894, + "fos_buckling": 0.039971266126790285, + "fos_yielding": 0.9860844127543579, + "deflection": 20983390088710.5, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.332)" + }, + "parent_node_id": "node_831", + "improvement_over_parent": null + }, + "node_833": { + "node_id": "node_833", + "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n Mass: 196.08 kg\n Factor of Safety: 1.02\n Max Deflection: 1.08e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.08098898072856, + "fos_buckling": 1.0157165471058716, + "fos_yielding": 4.849123693927241, + "deflection": 0.01082403832824618, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.005728)" + }, + "parent_node_id": "node_832", + "improvement_over_parent": null + }, + "node_834": { + "node_id": "node_834", + "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n Mass: 204.69 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.69147801380245, + "fos_buckling": 1.5302332997041121, + "fos_yielding": 4.836410499711227, + "deflection": 0.011227420212741963, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)" + }, + "parent_node_id": "node_833", + "improvement_over_parent": null + }, + "node_835": { + "node_id": "node_835", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_834", + "improvement_over_parent": null + }, + "node_836": { + "node_id": "node_836", + "content": "INITIAL DESIGN (Trace 118)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0036)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0041)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0042)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0044)]\n\nPerformance:\n Mass: 116.83 kg\n Factor of Safety: 0.22\n Max Deflection: 6.31e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 116.83372642824817, + "fos_buckling": 0.22016586440018285, + "fos_yielding": 0.6640446779201393, + "deflection": 0.06313747499458892, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_837": { + "node_id": "node_837", + "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0036)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0041)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0042)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0044)]\n M18: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n\nPerformance:\n Mass: 128.29 kg\n Factor of Safety: 0.54\n Max Deflection: 2.11e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 128.28559839407774, + "fos_buckling": 0.5410063918510513, + "fos_yielding": 3.5879142421921304, + "deflection": 0.021137803407637202, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.005253)" + }, + "parent_node_id": "node_836", + "improvement_over_parent": null + }, + "node_838": { + "node_id": "node_838", + "content": "MODIFICATION: Increase 2 thickness by 50%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0054)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0041)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0042)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0044)]\n M18: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n\nPerformance:\n Mass: 132.15 kg\n Factor of Safety: 0.54\n Max Deflection: 2.04e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 132.14529681303893, + "fos_buckling": 0.5404737114765235, + "fos_yielding": 3.587555208277314, + "deflection": 0.020371662632137185, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.502)" + }, + "parent_node_id": "node_837", + "improvement_over_parent": null + }, + "node_839": { + "node_id": "node_839", + "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0054)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0041)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0042)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0044)]\n M18: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n\nPerformance:\n Mass: 142.62 kg\n Factor of Safety: 0.54\n Max Deflection: 1.85e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 142.6180507252808, + "fos_buckling": 0.5399928294280413, + "fos_yielding": 3.5872305406547698, + "deflection": 0.01849610147346669, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.004651)" + }, + "parent_node_id": "node_838", + "improvement_over_parent": null + }, + "node_840": { + "node_id": "node_840", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0054)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0041)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0042)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0044)]\n M18: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M20: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n\nPerformance:\n Mass: 150.93 kg\n Factor of Safety: 1.02\n Max Deflection: 1.51e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 150.92528981509165, + "fos_buckling": 1.0239013118541014, + "fos_yielding": 3.653082926390685, + "deflection": 0.015116040280580455, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.004142)" + }, + "parent_node_id": "node_839", + "improvement_over_parent": null + }, + "node_841": { + "node_id": "node_841", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0052)]\n M18: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M20: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n\nPerformance:\n Mass: 178.24 kg\n Factor of Safety: 1.19\n Max Deflection: 1.29e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.23881921865657, + "fos_buckling": 1.1872902849634472, + "fos_yielding": 4.309879417168055, + "deflection": 0.012850103252287503, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.196)" + }, + "parent_node_id": "node_840", + "improvement_over_parent": null + }, + "node_842": { + "node_id": "node_842", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n M18: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n\nPerformance:\n Mass: 200.18 kg\n Factor of Safety: 1.31\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.1806747485838, + "fos_buckling": 1.3136680320600422, + "fos_yielding": 4.8365043739488005, + "deflection": 0.011477680942802838, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.135)" + }, + "parent_node_id": "node_841", + "improvement_over_parent": null + }, + "node_843": { + "node_id": "node_843", + "content": "MODIFICATION: Increase 20 thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n M18: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0073)]\n\nPerformance:\n Mass: 203.09 kg\n Factor of Safety: 1.31\n Max Deflection: 1.14e-02 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.09425035615112, + "fos_buckling": 1.313778876921947, + "fos_yielding": 4.840437148440265, + "deflection": 0.011360473787916199, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(20, thickness, 1.300)" + }, + "parent_node_id": "node_842", + "improvement_over_parent": null + }, + "node_844": { + "node_id": "node_844", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_843", + "improvement_over_parent": null + }, + "node_845": { + "node_id": "node_845", + "content": "INITIAL DESIGN (Trace 119)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0046)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0043)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0040)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0026)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0029)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0048)]\n\nPerformance:\n Mass: 119.08 kg\n Factor of Safety: 0.32\n Max Deflection: 2.00e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 119.07583162065602, + "fos_buckling": 0.3216497254577771, + "fos_yielding": 2.2617561003506483, + "deflection": 20016339816959.23, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_846": { + "node_id": "node_846", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0054)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0041)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0031)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0042)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0057)]\n\nPerformance:\n Mass: 139.35 kg\n Factor of Safety: 0.31\n Max Deflection: 2.14e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 139.35275595103948, + "fos_buckling": 0.3087480202679172, + "fos_yielding": 1.9721688255087158, + "deflection": 21421645738997.13, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.182)" + }, + "parent_node_id": "node_845", + "improvement_over_parent": null + }, + "node_847": { + "node_id": "node_847", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0054)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0041)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0031)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0042)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0057)]\n M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n\nPerformance:\n Mass: 143.36 kg\n Factor of Safety: 0.36\n Max Deflection: 1.97e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 143.358408088031, + "fos_buckling": 0.3566207853062696, + "fos_yielding": 2.3348303970098896, + "deflection": 0.01974381228796027, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003108)" + }, + "parent_node_id": "node_846", + "improvement_over_parent": null + }, + "node_848": { + "node_id": "node_848", + "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0054)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0041)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0031)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0042)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0057)]\n M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n\nPerformance:\n Mass: 152.82 kg\n Factor of Safety: 0.98\n Max Deflection: 1.50e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 152.82058163653863, + "fos_buckling": 0.9804182790502087, + "fos_yielding": 2.7560853408111683, + "deflection": 0.015040278238406401, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.004422)" + }, + "parent_node_id": "node_847", + "improvement_over_parent": null + }, + "node_849": { + "node_id": "node_849", + "content": "MODIFICATION: Increase 8 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0054)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0041)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0031)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0042)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0057)]\n M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n\nPerformance:\n Mass: 153.10 kg\n Factor of Safety: 0.98\n Max Deflection: 1.51e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 153.1008863447678, + "fos_buckling": 0.9816133265476583, + "fos_yielding": 2.759444777247303, + "deflection": 0.015056235510790635, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.362)" + }, + "parent_node_id": "node_848", + "improvement_over_parent": null + }, + "node_850": { + "node_id": "node_850", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0062)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0030)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0054)]\n\nPerformance:\n Mass: 182.85 kg\n Factor of Safety: 1.15\n Max Deflection: 1.27e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.8530665845149, + "fos_buckling": 1.1537502156799895, + "fos_yielding": 3.30525942065645, + "deflection": 0.0126591178165614, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.211)" + }, + "parent_node_id": "node_849", + "improvement_over_parent": null + }, + "node_851": { + "node_id": "node_851", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0034)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 202.99 kg\n Factor of Safety: 1.27\n Max Deflection: 1.14e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.99149971610402, + "fos_buckling": 1.2667744605956783, + "fos_yielding": 3.676924283888378, + "deflection": 0.011435321585050706, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.121)" + }, + "parent_node_id": "node_850", + "improvement_over_parent": null + }, + "node_852": { + "node_id": "node_852", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0034)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n Mass: 203.71 kg\n Factor of Safety: 1.27\n Max Deflection: 1.13e-02 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.70763154257767, + "fos_buckling": 1.265898884968562, + "fos_yielding": 3.674382848624352, + "deflection": 0.01131905894311081, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)" + }, + "parent_node_id": "node_851", + "improvement_over_parent": null + }, + "node_853": { + "node_id": "node_853", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_852", + "improvement_over_parent": null + }, + "node_854": { + "node_id": "node_854", + "content": "INITIAL DESIGN (Trace 120)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n\nPerformance:\n Mass: 160.80 kg\n Factor of Safety: 0.44\n Max Deflection: 2.08e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 160.797182489287, + "fos_buckling": 0.44345653072637237, + "fos_yielding": 3.041079453785932, + "deflection": 0.020777252610406045, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_855": { + "node_id": "node_855", + "content": "MODIFICATION: Increase 8 thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n\nPerformance:\n Mass: 161.58 kg\n Factor of Safety: 0.44\n Max Deflection: 2.07e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 161.5800784615893, + "fos_buckling": 0.4434565307263721, + "fos_yielding": 3.0410794537859314, + "deflection": 0.020747879897105973, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.193)" + }, + "parent_node_id": "node_854", + "improvement_over_parent": null + }, + "node_856": { + "node_id": "node_856", + "content": "MODIFICATION: Increase 15 thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n\nPerformance:\n Mass: 163.34 kg\n Factor of Safety: 0.44\n Max Deflection: 2.07e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.3379321314844, + "fos_buckling": 0.4433903312392323, + "fos_yielding": 3.04083537275265, + "deflection": 0.02071955786979632, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.284)" + }, + "parent_node_id": "node_855", + "improvement_over_parent": null + }, + "node_857": { + "node_id": "node_857", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n Mass: 183.56 kg\n Factor of Safety: 0.49\n Max Deflection: 1.85e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.55687822239958, + "fos_buckling": 0.48771257491939646, + "fos_yielding": 3.413336352818728, + "deflection": 0.018472934554251478, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.136)" + }, + "parent_node_id": "node_856", + "improvement_over_parent": null + }, + "node_858": { + "node_id": "node_858", + "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.41 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.40508971137808, + "fos_buckling": 1.530567325882794, + "fos_yielding": 4.8306434196605075, + "deflection": 0.011223209021091753, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.007737)" + }, + "parent_node_id": "node_857", + "improvement_over_parent": null + }, + "node_859": { + "node_id": "node_859", + "content": "MODIFICATION: Increase 9 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.69887229539052, + "fos_buckling": 1.5304434978941661, + "fos_yielding": 4.836993357707381, + "deflection": 0.011227027875983335, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.387)" + }, + "parent_node_id": "node_858", + "improvement_over_parent": null + }, + "node_860": { + "node_id": "node_860", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_859", + "improvement_over_parent": null + }, + "node_861": { + "node_id": "node_861", + "content": "INITIAL DESIGN (Trace 121)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0039)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 177.80 kg\n Factor of Safety: 1.09\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.795581885463, + "fos_buckling": 1.094433393619753, + "fos_yielding": 5.162258209849386, + "deflection": 0.013324636725392835, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_862": { + "node_id": "node_862", + "content": "MODIFICATION: Increase 12 thickness by 38%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 179.12 kg\n Factor of Safety: 1.09\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.11939023872722, + "fos_buckling": 1.094433393619753, + "fos_yielding": 5.162258209849386, + "deflection": 0.013324636725392835, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.377)" + }, + "parent_node_id": "node_861", + "improvement_over_parent": null + }, + "node_863": { + "node_id": "node_863", + "content": "MODIFICATION: Increase 15 thickness by 61%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 183.04 kg\n Factor of Safety: 1.09\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.03773349483427, + "fos_buckling": 1.0940699932667117, + "fos_yielding": 5.162258209849386, + "deflection": 0.013064612895051628, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.605)" + }, + "parent_node_id": "node_862", + "improvement_over_parent": null + }, + "node_864": { + "node_id": "node_864", + "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n Mass: 196.92 kg\n Factor of Safety: 1.15\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.92264037045587, + "fos_buckling": 1.1541474534042837, + "fos_yielding": 5.162258209849386, + "deflection": 0.011864272088240205, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)" + }, + "parent_node_id": "node_863", + "improvement_over_parent": null + }, + "node_865": { + "node_id": "node_865", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70428888270834, + "fos_buckling": 1.5303643349311378, + "fos_yielding": 4.836791030029354, + "deflection": 0.011226648429314054, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004727)" + }, + "parent_node_id": "node_864", + "improvement_over_parent": null + }, + "node_866": { + "node_id": "node_866", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_865", + "improvement_over_parent": null + }, + "node_867": { + "node_id": "node_867", + "content": "INITIAL DESIGN (Trace 122)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (17 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M5: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M7: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M8: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M9: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M11: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 176.73 kg\n Factor of Safety: 0.34\n Max Deflection: 4.41e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.7251904720949, + "fos_buckling": 0.3377509298989394, + "fos_yielding": 2.0311286384131675, + "deflection": 0.04408626755581473, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_868": { + "node_id": "node_868", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M5: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M7: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M8: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M9: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M11: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M17: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n Mass: 177.44 kg\n Factor of Safety: 0.34\n Max Deflection: 3.11e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.44132229856856, + "fos_buckling": 0.3376699628773846, + "fos_yielding": 2.030644876010532, + "deflection": 0.031106815182690036, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)" + }, + "parent_node_id": "node_867", + "improvement_over_parent": null + }, + "node_869": { + "node_id": "node_869", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M5: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M7: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M8: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M9: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M11: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M17: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 182.75 kg\n Factor of Safety: 0.34\n Max Deflection: 2.91e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.74936777556306, + "fos_buckling": 0.33752003139614334, + "fos_yielding": 2.156133998346713, + "deflection": 0.029132646098772606, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)" + }, + "parent_node_id": "node_868", + "improvement_over_parent": null + }, + "node_870": { + "node_id": "node_870", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M5: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M7: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M8: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M9: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M11: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M17: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n Mass: 195.24 kg\n Factor of Safety: 1.09\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.2371748525798, + "fos_buckling": 1.093420414349792, + "fos_yielding": 4.835319474593452, + "deflection": 0.012386895554724723, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.006468)" + }, + "parent_node_id": "node_869", + "improvement_over_parent": null + }, + "node_871": { + "node_id": "node_871", + "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M5: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M6: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M7: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M8: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M9: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M11: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M17: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70148941463464, + "fos_buckling": 1.5304016791300732, + "fos_yielding": 4.836785585118078, + "deflection": 0.011226779687276494, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)" + }, + "parent_node_id": "node_870", + "improvement_over_parent": null + }, + "node_872": { + "node_id": "node_872", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_871", + "improvement_over_parent": null + }, + "node_873": { + "node_id": "node_873", + "content": "INITIAL DESIGN (Trace 123)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0027)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0029)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n Mass: 147.75 kg\n Factor of Safety: 0.91\n Max Deflection: 1.65e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 147.75209744540768, + "fos_buckling": 0.908261926645193, + "fos_yielding": 3.8652254702767257, + "deflection": 0.016514248437946473, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_874": { + "node_id": "node_874", + "content": "MODIFICATION: Increase 17 thickness by 35%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0027)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n Mass: 149.43 kg\n Factor of Safety: 0.91\n Max Deflection: 1.66e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 149.42722991712748, + "fos_buckling": 0.9080463221625334, + "fos_yielding": 3.864240049773488, + "deflection": 0.016579483527099533, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.346)" + }, + "parent_node_id": "node_873", + "improvement_over_parent": null + }, + "node_875": { + "node_id": "node_875", + "content": "MODIFICATION: Increase 1 thickness by 51%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0027)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n Mass: 152.50 kg\n Factor of Safety: 0.91\n Max Deflection: 1.58e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 152.50061307532812, + "fos_buckling": 0.9078090974071974, + "fos_yielding": 3.855608396422142, + "deflection": 0.01578918208328461, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.513)" + }, + "parent_node_id": "node_874", + "improvement_over_parent": null + }, + "node_876": { + "node_id": "node_876", + "content": "MODIFICATION: Increase 15 thickness by 65%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n Mass: 155.83 kg\n Factor of Safety: 0.91\n Max Deflection: 1.54e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 155.8279210179745, + "fos_buckling": 0.9075524126917166, + "fos_yielding": 3.8635056700763712, + "deflection": 0.015430774101338349, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.653)" + }, + "parent_node_id": "node_875", + "improvement_over_parent": null + }, + "node_877": { + "node_id": "node_877", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 195.15 kg\n Factor of Safety: 1.09\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.14620979938755, + "fos_buckling": 1.0930057542133909, + "fos_yielding": 4.833059244686423, + "deflection": 0.01239258271638823, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.277)" + }, + "parent_node_id": "node_876", + "improvement_over_parent": null + }, + "node_878": { + "node_id": "node_878", + "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n Mass: 204.61 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.61052436144237, + "fos_buckling": 1.5298865292920505, + "fos_yielding": 4.834525177374849, + "deflection": 0.01123180665784126, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)" + }, + "parent_node_id": "node_877", + "improvement_over_parent": null + }, + "node_879": { + "node_id": "node_879", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_878", + "improvement_over_parent": null + }, + "node_880": { + "node_id": "node_880", + "content": "INITIAL DESIGN (Trace 124)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0028)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0039)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0037)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0022)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0034)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0030)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0030)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0008)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0022)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0028)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0032)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0025)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0028)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0030)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0030)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0026)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0041)]\n\nPerformance:\n Mass: 112.86 kg\n Factor of Safety: 0.92\n Max Deflection: 2.01e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 112.86366157085034, + "fos_buckling": 0.9189796467325239, + "fos_yielding": 2.675861204499552, + "deflection": 0.020096771056337927, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_881": { + "node_id": "node_881", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0040)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0054)]\n\nPerformance:\n Mass: 146.57 kg\n Factor of Safety: 1.16\n Max Deflection: 1.56e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 146.5735798789561, + "fos_buckling": 1.1576767143187205, + "fos_yielding": 3.4718996587419504, + "deflection": 0.015551354288444128, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.318)" + }, + "parent_node_id": "node_880", + "improvement_over_parent": null + }, + "node_882": { + "node_id": "node_882", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n\nPerformance:\n Mass: 167.81 kg\n Factor of Safety: 1.30\n Max Deflection: 1.36e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 167.8091175118844, + "fos_buckling": 1.2997012552353888, + "fos_yielding": 3.9726137523343765, + "deflection": 0.013625524456366122, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.156)" + }, + "parent_node_id": "node_881", + "improvement_over_parent": null + }, + "node_883": { + "node_id": "node_883", + "content": "MODIFICATION: Increase 10 thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n\nPerformance:\n Mass: 167.95 kg\n Factor of Safety: 1.30\n Max Deflection: 1.36e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 167.94631697560357, + "fos_buckling": 1.2998594666355865, + "fos_yielding": 3.972248054449382, + "deflection": 0.013610638579594998, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.328)" + }, + "parent_node_id": "node_882", + "improvement_over_parent": null + }, + "node_884": { + "node_id": "node_884", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.80 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.80351814740567, + "fos_buckling": 1.5310131443595256, + "fos_yielding": 4.839208771616962, + "deflection": 0.011221337922237423, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.241)" + }, + "parent_node_id": "node_883", + "improvement_over_parent": null + }, + "node_885": { + "node_id": "node_885", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_884", + "improvement_over_parent": null + }, + "node_886": { + "node_id": "node_886", + "content": "INITIAL DESIGN (Trace 125)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0029)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n Mass: 165.20 kg\n Factor of Safety: 1.11\n Max Deflection: 1.37e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.19861137430752, + "fos_buckling": 1.1083170282208734, + "fos_yielding": 3.997777884727017, + "deflection": 0.013742016602390703, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_887": { + "node_id": "node_887", + "content": "MODIFICATION: Increase 7 thickness by 59%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n Mass: 167.97 kg\n Factor of Safety: 1.30\n Max Deflection: 1.36e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 167.96520236290365, + "fos_buckling": 1.2953238930562787, + "fos_yielding": 3.9978598932966563, + "deflection": 0.013587345294305051, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.592)" + }, + "parent_node_id": "node_886", + "improvement_over_parent": null + }, + "node_888": { + "node_id": "node_888", + "content": "MODIFICATION: Increase 4 thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n Mass: 168.62 kg\n Factor of Safety: 1.30\n Max Deflection: 1.36e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 168.61500726631817, + "fos_buckling": 1.304208925613478, + "fos_yielding": 3.988011214288677, + "deflection": 0.013557943855037613, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.188)" + }, + "parent_node_id": "node_887", + "improvement_over_parent": null + }, + "node_889": { + "node_id": "node_889", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.69859908889927, + "fos_buckling": 1.5303640991754985, + "fos_yielding": 4.83676558698584, + "deflection": 0.011226883644496307, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.235)" + }, + "parent_node_id": "node_888", + "improvement_over_parent": null + }, + "node_890": { + "node_id": "node_890", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_889", + "improvement_over_parent": null + }, + "node_891": { + "node_id": "node_891", + "content": "INITIAL DESIGN (Trace 126)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0054)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0042)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0037)]\n\nPerformance:\n Mass: 139.59 kg\n Factor of Safety: 0.60\n Max Deflection: 1.81e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 139.5856786354251, + "fos_buckling": 0.6035175447361024, + "fos_yielding": 3.432062834687187, + "deflection": 0.018084712765478725, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_892": { + "node_id": "node_892", + "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0054)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0042)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0037)]\n M18: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n\nPerformance:\n Mass: 146.73 kg\n Factor of Safety: 0.93\n Max Deflection: 1.53e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 146.72919263131124, + "fos_buckling": 0.925745011203479, + "fos_yielding": 3.608349669013996, + "deflection": 0.015334329048733924, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.004151)" + }, + "parent_node_id": "node_891", + "improvement_over_parent": null + }, + "node_893": { + "node_id": "node_893", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0054)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0042)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0037)]\n M18: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n\nPerformance:\n Mass: 147.58 kg\n Factor of Safety: 0.92\n Max Deflection: 1.55e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 147.5794226139062, + "fos_buckling": 0.924073828655794, + "fos_yielding": 3.6618581215131187, + "deflection": 0.015522996014860548, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.001847)" + }, + "parent_node_id": "node_892", + "improvement_over_parent": null + }, + "node_894": { + "node_id": "node_894", + "content": "MODIFICATION: Increase 19 thickness by 53%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0054)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0042)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0037)]\n M18: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0028)]\n\nPerformance:\n Mass: 147.99 kg\n Factor of Safety: 0.92\n Max Deflection: 1.55e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 147.98565381720502, + "fos_buckling": 0.9239366748670284, + "fos_yielding": 3.6657668066072393, + "deflection": 0.015537687447114241, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(19, thickness, 1.531)" + }, + "parent_node_id": "node_893", + "improvement_over_parent": null + }, + "node_895": { + "node_id": "node_895", + "content": "MODIFICATION: Increase 17 thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0054)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0042)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0046)]\n M18: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0028)]\n\nPerformance:\n Mass: 150.34 kg\n Factor of Safety: 1.06\n Max Deflection: 1.52e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 150.33816622183295, + "fos_buckling": 1.0562694352911102, + "fos_yielding": 3.665421269323565, + "deflection": 0.015221045885290137, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.236)" + }, + "parent_node_id": "node_894", + "improvement_over_parent": null + }, + "node_896": { + "node_id": "node_896", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0054)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0042)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0046)]\n M18: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0028)]\n M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n\nPerformance:\n Mass: 150.88 kg\n Factor of Safety: 1.06\n Max Deflection: 1.50e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 150.8787403494004, + "fos_buckling": 1.0580796153666745, + "fos_yielding": 3.6619542809625525, + "deflection": 0.014994024841872056, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001473)" + }, + "parent_node_id": "node_895", + "improvement_over_parent": null + }, + "node_897": { + "node_id": "node_897", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0052)]\n M18: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0032)]\n M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n\nPerformance:\n Mass: 169.07 kg\n Factor of Safety: 1.17\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.07041877989639, + "fos_buckling": 1.170327413375836, + "fos_yielding": 4.100701473054451, + "deflection": 0.013416708535216842, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.130)" + }, + "parent_node_id": "node_896", + "improvement_over_parent": null + }, + "node_898": { + "node_id": "node_898", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n M18: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0038)]\n M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n Mass: 199.92 kg\n Factor of Safety: 1.35\n Max Deflection: 1.14e-02 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.91682807889146, + "fos_buckling": 1.3531183995906984, + "fos_yielding": 4.843220628324694, + "deflection": 0.011398236164610706, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.200)" + }, + "parent_node_id": "node_897", + "improvement_over_parent": null + }, + "node_899": { + "node_id": "node_899", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_898", + "improvement_over_parent": null + }, + "node_900": { + "node_id": "node_900", + "content": "INITIAL DESIGN (Trace 127)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n\nPerformance:\n Mass: 174.97 kg\n Factor of Safety: 1.12\n Max Deflection: 1.36e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.974199409417, + "fos_buckling": 1.1225640610161123, + "fos_yielding": 4.274434142295424, + "deflection": 0.013564266428461097, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_901": { + "node_id": "node_901", + "content": "MODIFICATION: Increase 6 thickness by 43%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n\nPerformance:\n Mass: 178.80 kg\n Factor of Safety: 1.34\n Max Deflection: 1.26e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.80041394950027, + "fos_buckling": 1.3426934484781734, + "fos_yielding": 4.2716554556234945, + "deflection": 0.012624380443634219, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.433)" + }, + "parent_node_id": "node_900", + "improvement_over_parent": null + }, + "node_902": { + "node_id": "node_902", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 202.74 kg\n Factor of Safety: 1.49\n Max Deflection: 1.12e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.7415979351121, + "fos_buckling": 1.4934742874402112, + "fos_yielding": 4.840009056806916, + "deflection": 0.01117427413631732, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.147)" + }, + "parent_node_id": "node_901", + "improvement_over_parent": null + }, + "node_903": { + "node_id": "node_903", + "content": "MODIFICATION: Increase 18 thickness by 34%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.78 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.77890415005874, + "fos_buckling": 1.530898839133554, + "fos_yielding": 4.83874319189315, + "deflection": 0.01122296632177419, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(18, thickness, 1.340)" + }, + "parent_node_id": "node_902", + "improvement_over_parent": null + }, + "node_904": { + "node_id": "node_904", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_903", + "improvement_over_parent": null + }, + "node_905": { + "node_id": "node_905", + "content": "INITIAL DESIGN (Trace 128)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n Mass: 159.44 kg\n Factor of Safety: 0.26\n Max Deflection: 1.61e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.43557920143206, + "fos_buckling": 0.26133644960640967, + "fos_yielding": 4.335481508869694, + "deflection": 0.01608222659257882, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_906": { + "node_id": "node_906", + "content": "MODIFICATION: Increase 0 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n Mass: 161.46 kg\n Factor of Safety: 0.26\n Max Deflection: 1.59e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 161.46362124435348, + "fos_buckling": 0.26138407890748644, + "fos_yielding": 4.374154093462588, + "deflection": 0.015884875229046854, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.393)" + }, + "parent_node_id": "node_905", + "improvement_over_parent": null + }, + "node_907": { + "node_id": "node_907", + "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n M19: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n\nPerformance:\n Mass: 169.95 kg\n Factor of Safety: 1.00\n Max Deflection: 1.38e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.9477948994918, + "fos_buckling": 0.9961844505715731, + "fos_yielding": 4.314363101257247, + "deflection": 0.013849132057729047, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.004611)" + }, + "parent_node_id": "node_906", + "improvement_over_parent": null + }, + "node_908": { + "node_id": "node_908", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n Mass: 190.67 kg\n Factor of Safety: 1.09\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.67337804380904, + "fos_buckling": 1.094208654310233, + "fos_yielding": 4.837629078783525, + "deflection": 0.012381391145744798, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.134)" + }, + "parent_node_id": "node_907", + "improvement_over_parent": null + }, + "node_909": { + "node_id": "node_909", + "content": "MODIFICATION: Increase 10 thickness by 48%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n Mass: 190.89 kg\n Factor of Safety: 1.09\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.8927647483603, + "fos_buckling": 1.0941815371270265, + "fos_yielding": 4.837427064601638, + "deflection": 0.012377184486015344, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.484)" + }, + "parent_node_id": "node_908", + "improvement_over_parent": null + }, + "node_910": { + "node_id": "node_910", + "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n Mass: 204.78 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.7776716239819, + "fos_buckling": 1.5308209883602362, + "fos_yielding": 4.838727585690794, + "deflection": 0.011222519388849541, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)" + }, + "parent_node_id": "node_909", + "improvement_over_parent": null + }, + "node_911": { + "node_id": "node_911", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_910", + "improvement_over_parent": null + }, + "node_912": { + "node_id": "node_912", + "content": "INITIAL DESIGN (Trace 129)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 191.42 kg\n Factor of Safety: 1.09\n Max Deflection: 1.26e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.42033341545087, + "fos_buckling": 1.09363621997829, + "fos_yielding": 4.799516905840129, + "deflection": 0.012570345468065855, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_913": { + "node_id": "node_913", + "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n Mass: 200.88 kg\n Factor of Safety: 1.48\n Max Deflection: 1.14e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.8846479775057, + "fos_buckling": 1.4757955788059263, + "fos_yielding": 4.800770739031767, + "deflection": 0.01140952128926449, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)" + }, + "parent_node_id": "node_912", + "improvement_over_parent": null + }, + "node_914": { + "node_id": "node_914", + "content": "MODIFICATION: Increase 0 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n Mass: 203.11 kg\n Factor of Safety: 1.50\n Max Deflection: 1.13e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.11288926913338, + "fos_buckling": 1.495795108371472, + "fos_yielding": 4.840149659499204, + "deflection": 0.011258467221554037, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.387)" + }, + "parent_node_id": "node_913", + "improvement_over_parent": null + }, + "node_915": { + "node_id": "node_915", + "content": "MODIFICATION: Increase 15 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0069)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n Mass: 205.27 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 205.26744101755867, + "fos_buckling": 1.5308431994962128, + "fos_yielding": 4.843143136556454, + "deflection": 0.011162713817095894, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.220)" + }, + "parent_node_id": "node_914", + "improvement_over_parent": null + }, + "node_916": { + "node_id": "node_916", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_915", + "improvement_over_parent": null + }, + "node_917": { + "node_id": "node_917", + "content": "INITIAL DESIGN (Trace 130)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0027)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0035)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n Mass: 156.88 kg\n Factor of Safety: 1.18\n Max Deflection: 1.47e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 156.87859737090298, + "fos_buckling": 1.1817626410286788, + "fos_yielding": 3.8132517135246315, + "deflection": 0.01472920160371237, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_918": { + "node_id": "node_918", + "content": "MODIFICATION: Increase 0 thickness by 53%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0035)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n Mass: 159.12 kg\n Factor of Safety: 1.19\n Max Deflection: 1.45e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.1215802212491, + "fos_buckling": 1.1940308530276826, + "fos_yielding": 3.8556525119174427, + "deflection": 0.014472726246084498, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.527)" + }, + "parent_node_id": "node_917", + "improvement_over_parent": null + }, + "node_919": { + "node_id": "node_919", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 199.78 kg\n Factor of Safety: 1.44\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.77689068029338, + "fos_buckling": 1.4438290451280273, + "fos_yielding": 4.833727855317667, + "deflection": 0.01159229832986648, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.280)" + }, + "parent_node_id": "node_918", + "improvement_over_parent": null + }, + "node_920": { + "node_id": "node_920", + "content": "MODIFICATION: Increase 3 thickness by 56%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.54 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.54451995847313, + "fos_buckling": 1.5295826329673587, + "fos_yielding": 4.8332367663818, + "deflection": 0.011235128587806627, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.555)" + }, + "parent_node_id": "node_919", + "improvement_over_parent": null + }, + "node_921": { + "node_id": "node_921", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_920", + "improvement_over_parent": null + }, + "node_922": { + "node_id": "node_922", + "content": "INITIAL DESIGN (Trace 131)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0030)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0029)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n Mass: 162.14 kg\n Factor of Safety: 0.20\n Max Deflection: 5.38e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.13982136001488, + "fos_buckling": 0.20455747794223736, + "fos_yielding": 1.7198580169562654, + "deflection": 0.05379441753687943, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_923": { + "node_id": "node_923", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0030)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0029)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n\nPerformance:\n Mass: 163.13 kg\n Factor of Safety: 0.22\n Max Deflection: 3.55e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.1340146506585, + "fos_buckling": 0.21601247692877504, + "fos_yielding": 1.719459891038529, + "deflection": 0.03546692096153346, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002186)" + }, + "parent_node_id": "node_922", + "improvement_over_parent": null + }, + "node_924": { + "node_id": "node_924", + "content": "MODIFICATION: Increase 17 thickness by 49%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0030)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0029)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0082)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n\nPerformance:\n Mass: 168.42 kg\n Factor of Safety: 0.22\n Max Deflection: 3.54e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 168.41704727645228, + "fos_buckling": 0.21591666577453192, + "fos_yielding": 1.713751729849572, + "deflection": 0.035373126843332554, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.488)" + }, + "parent_node_id": "node_923", + "improvement_over_parent": null + }, + "node_925": { + "node_id": "node_925", + "content": "MODIFICATION: Increase 13 thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0029)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0082)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n\nPerformance:\n Mass: 169.92 kg\n Factor of Safety: 0.27\n Max Deflection: 3.32e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.91895853077898, + "fos_buckling": 0.2659504783103005, + "fos_yielding": 1.713356205091021, + "deflection": 0.03315444007091747, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.284)" + }, + "parent_node_id": "node_924", + "improvement_over_parent": null + }, + "node_926": { + "node_id": "node_926", + "content": "MODIFICATION: Increase 14 thickness by 53%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0075)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0029)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0082)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n\nPerformance:\n Mass: 174.43 kg\n Factor of Safety: 0.27\n Max Deflection: 3.27e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.4294385847492, + "fos_buckling": 0.2656488017489441, + "fos_yielding": 1.7106686126868058, + "deflection": 0.03270032471212159, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.527)" + }, + "parent_node_id": "node_925", + "improvement_over_parent": null + }, + "node_927": { + "node_id": "node_927", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0075)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0029)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0082)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n\nPerformance:\n Mass: 185.45 kg\n Factor of Safety: 1.29\n Max Deflection: 1.23e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.4525462545879, + "fos_buckling": 1.285522283473673, + "fos_yielding": 4.300553598557997, + "deflection": 0.012340894295657356, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.005644)" + }, + "parent_node_id": "node_926", + "improvement_over_parent": null + }, + "node_928": { + "node_id": "node_928", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0086)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0094)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n Mass: 209.75 kg\n Factor of Safety: 1.43\n Max Deflection: 1.09e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.7497268124677, + "fos_buckling": 1.4286346946652462, + "fos_yielding": 4.864848649475665, + "deflection": 0.010946368853684055, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.145)" + }, + "parent_node_id": "node_927", + "improvement_over_parent": null + }, + "node_929": { + "node_id": "node_929", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_928", + "improvement_over_parent": null + }, + "node_930": { + "node_id": "node_930", + "content": "INITIAL DESIGN (Trace 132)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n Mass: 155.92 kg\n Factor of Safety: 0.36\n Max Deflection: 1.62e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 155.9228450919173, + "fos_buckling": 0.35575976758972144, + "fos_yielding": 4.138743402945892, + "deflection": 0.01622168419834575, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_931": { + "node_id": "node_931", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n\nPerformance:\n Mass: 156.83 kg\n Factor of Safety: 0.36\n Max Deflection: 1.57e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 156.82787347722294, + "fos_buckling": 0.35583384009247154, + "fos_yielding": 3.942932376443831, + "deflection": 0.015678239665481784, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.001975)" + }, + "parent_node_id": "node_930", + "improvement_over_parent": null + }, + "node_932": { + "node_id": "node_932", + "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n\nPerformance:\n Mass: 164.47 kg\n Factor of Safety: 1.28\n Max Deflection: 1.39e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.47438935286908, + "fos_buckling": 1.277089366695651, + "fos_yielding": 3.89047476553618, + "deflection": 0.013890923524672692, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.004121)" + }, + "parent_node_id": "node_931", + "improvement_over_parent": null + }, + "node_933": { + "node_id": "node_933", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n Mass: 204.77 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.77031014304404, + "fos_buckling": 1.5308087571333817, + "fos_yielding": 4.838406927535698, + "deflection": 0.011223124682165053, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.269)" + }, + "parent_node_id": "node_932", + "improvement_over_parent": null + }, + "node_934": { + "node_id": "node_934", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_933", + "improvement_over_parent": null + }, + "node_935": { + "node_id": "node_935", + "content": "INITIAL DESIGN (Trace 133)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 0, + "fos_buckling": 0, + "fos_yielding": 0, + "deflection": Infinity, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_936": { + "node_id": "node_936", + "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n Mass: 195.24 kg\n Factor of Safety: 1.09\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.23713436207453, + "fos_buckling": 1.093420411589567, + "fos_yielding": 4.8353221175081655, + "deflection": 0.012386904571378124, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)" + }, + "parent_node_id": "node_935", + "improvement_over_parent": null + }, + "node_937": { + "node_id": "node_937", + "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70144892412935, + "fos_buckling": 1.530405524577389, + "fos_yielding": 4.836788478408788, + "deflection": 0.011226788510096813, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)" + }, + "parent_node_id": "node_936", + "improvement_over_parent": null + }, + "node_938": { + "node_id": "node_938", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_937", + "improvement_over_parent": null + }, + "node_939": { + "node_id": "node_939", + "content": "INITIAL DESIGN (Trace 134)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M12: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M13: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M14: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n Mass: 144.03 kg\n Factor of Safety: 0.40\n Max Deflection: 1.75e+14 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 144.03003012277745, + "fos_buckling": 0.3964740740581838, + "fos_yielding": 3.28072374334251, + "deflection": 175154613914788.7, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_940": { + "node_id": "node_940", + "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M12: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M13: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M14: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M15: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 164.88 kg\n Factor of Safety: 0.37\n Max Deflection: 6.73e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.87824161175595, + "fos_buckling": 0.37186297404289254, + "fos_yielding": 2.128759456632214, + "deflection": 67309819222686.25, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.007737)" + }, + "parent_node_id": "node_939", + "improvement_over_parent": null + }, + "node_941": { + "node_id": "node_941", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (17 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M12: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M13: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M14: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M15: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M16: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n Mass: 172.66 kg\n Factor of Safety: 0.03\n Max Deflection: 1.59e+14 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.65989012400843, + "fos_buckling": 0.02935232687850006, + "fos_yielding": 0.27920948962284464, + "deflection": 158983033020388.8, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004727)" + }, + "parent_node_id": "node_940", + "improvement_over_parent": null + }, + "node_942": { + "node_id": "node_942", + "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M12: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M13: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M14: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M15: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M16: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M17: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 187.84 kg\n Factor of Safety: 0.68\n Max Deflection: 2.54e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 187.84444413890984, + "fos_buckling": 0.6829180665744086, + "fos_yielding": 4.750380561214431, + "deflection": 0.02540583155007422, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)" + }, + "parent_node_id": "node_941", + "improvement_over_parent": null + }, + "node_943": { + "node_id": "node_943", + "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M12: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M13: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M14: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M15: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M16: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M17: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n Mass: 190.96 kg\n Factor of Safety: 0.68\n Max Deflection: 1.70e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.95982203863025, + "fos_buckling": 0.6825581637822461, + "fos_yielding": 4.750125123004293, + "deflection": 0.016964581185406405, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)" + }, + "parent_node_id": "node_942", + "improvement_over_parent": null + }, + "node_944": { + "node_id": "node_944", + "content": "MODIFICATION: Increase 7 thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0074)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M12: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M13: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M14: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M15: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M16: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M17: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n Mass: 192.48 kg\n Factor of Safety: 0.68\n Max Deflection: 1.69e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.47579248709948, + "fos_buckling": 0.6825581637822459, + "fos_yielding": 5.716203728174306, + "deflection": 0.016887340143660712, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.295)" + }, + "parent_node_id": "node_943", + "improvement_over_parent": null + }, + "node_945": { + "node_id": "node_945", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0074)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M12: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M13: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M14: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M15: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M16: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M17: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n\nPerformance:\n Mass: 203.49 kg\n Factor of Safety: 1.48\n Max Deflection: 1.14e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.49144936298646, + "fos_buckling": 1.482503994803241, + "fos_yielding": 5.626941071091978, + "deflection": 0.011351850898450117, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.005624)" + }, + "parent_node_id": "node_944", + "improvement_over_parent": null + }, + "node_946": { + "node_id": "node_946", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0074)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M12: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M13: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M14: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M15: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M16: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M17: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n Mass: 204.21 kg\n Factor of Safety: 1.48\n Max Deflection: 1.12e-02 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.20758118946011, + "fos_buckling": 1.4775726054837512, + "fos_yielding": 5.622464008437302, + "deflection": 0.011233368014673915, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)" + }, + "parent_node_id": "node_945", + "improvement_over_parent": null + }, + "node_947": { + "node_id": "node_947", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_946", + "improvement_over_parent": null + }, + "node_948": { + "node_id": "node_948", + "content": "INITIAL DESIGN (Trace 135)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0039)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0028)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n\nPerformance:\n Mass: 158.37 kg\n Factor of Safety: 0.71\n Max Deflection: 1.62e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 158.3718462618894, + "fos_buckling": 0.7071917658741843, + "fos_yielding": 3.9584644860567053, + "deflection": 0.016241002875449613, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_949": { + "node_id": "node_949", + "content": "MODIFICATION: Increase 14 thickness by 51%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0039)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n\nPerformance:\n Mass: 160.86 kg\n Factor of Safety: 0.71\n Max Deflection: 1.62e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 160.8575370934884, + "fos_buckling": 0.7103315866465955, + "fos_yielding": 3.9542023551769163, + "deflection": 0.01621103693922278, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.508)" + }, + "parent_node_id": "node_948", + "improvement_over_parent": null + }, + "node_950": { + "node_id": "node_950", + "content": "MODIFICATION: Increase 3 thickness by 40%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n\nPerformance:\n Mass: 164.00 kg\n Factor of Safety: 0.75\n Max Deflection: 1.52e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.99583799790253, + "fos_buckling": 0.7545322177704242, + "fos_yielding": 3.952173810035554, + "deflection": 0.015197134009656948, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.401)" + }, + "parent_node_id": "node_949", + "improvement_over_parent": null + }, + "node_951": { + "node_id": "node_951", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 201.63 kg\n Factor of Safety: 0.90\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.6322954337798, + "fos_buckling": 0.898942288989959, + "fos_yielding": 4.854221645884218, + "deflection": 0.012400776680646037, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.252)" + }, + "parent_node_id": "node_950", + "improvement_over_parent": null + }, + "node_952": { + "node_id": "node_952", + "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n Mass: 204.75 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.74767333350022, + "fos_buckling": 1.5307105934636625, + "fos_yielding": 4.837856773360354, + "deflection": 0.011224461052462293, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)" + }, + "parent_node_id": "node_951", + "improvement_over_parent": null + }, + "node_953": { + "node_id": "node_953", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_952", + "improvement_over_parent": null + }, + "node_954": { + "node_id": "node_954", + "content": "INITIAL DESIGN (Trace 136)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0031)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0043)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0038)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0033)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0025)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0028)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0033)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0034)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0045)]\n\nPerformance:\n Mass: 117.37 kg\n Factor of Safety: 0.66\n Max Deflection: 1.78e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 117.37254627750262, + "fos_buckling": 0.6595203517314173, + "fos_yielding": 2.9293059910851484, + "deflection": 0.017786666373914375, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_955": { + "node_id": "node_955", + "content": "MODIFICATION: Increase 13 thickness by 43%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0031)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0043)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0038)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0033)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0035)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0028)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0033)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0034)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0045)]\n\nPerformance:\n Mass: 119.59 kg\n Factor of Safety: 0.66\n Max Deflection: 1.76e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 119.59331627922641, + "fos_buckling": 0.6596475312610528, + "fos_yielding": 2.9638281022101887, + "deflection": 0.017612376103740005, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.431)" + }, + "parent_node_id": "node_954", + "improvement_over_parent": null + }, + "node_956": { + "node_id": "node_956", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n Mass: 152.74 kg\n Factor of Safety: 0.82\n Max Deflection: 1.38e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 152.73943745436338, + "fos_buckling": 0.8203124685403704, + "fos_yielding": 3.781853718553833, + "deflection": 0.013835825957309764, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.297)" + }, + "parent_node_id": "node_955", + "improvement_over_parent": null + }, + "node_957": { + "node_id": "node_957", + "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n\nPerformance:\n Mass: 159.45 kg\n Factor of Safety: 1.24\n Max Deflection: 1.43e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.44808179628956, + "fos_buckling": 1.2438119869055833, + "fos_yielding": 3.7720579947565636, + "deflection": 0.014318424008299375, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.003792)" + }, + "parent_node_id": "node_956", + "improvement_over_parent": null + }, + "node_958": { + "node_id": "node_958", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n Mass: 204.63 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.62546987308917, + "fos_buckling": 1.5299196375403312, + "fos_yielding": 4.834962382503088, + "deflection": 0.011230943002628075, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.311)" + }, + "parent_node_id": "node_957", + "improvement_over_parent": null + }, + "node_959": { + "node_id": "node_959", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_958", + "improvement_over_parent": null + }, + "node_960": { + "node_id": "node_960", + "content": "INITIAL DESIGN (Trace 137)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0040)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0021)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n Mass: 140.65 kg\n Factor of Safety: 0.31\n Max Deflection: 1.97e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 140.65390598464273, + "fos_buckling": 0.31049191711375335, + "fos_yielding": 2.466257731183263, + "deflection": 19673113286116.625, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_961": { + "node_id": "node_961", + "content": "MODIFICATION: Increase 2 thickness by 51%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0021)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n Mass: 144.90 kg\n Factor of Safety: 0.41\n Max Deflection: 1.44e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 144.89717538517635, + "fos_buckling": 0.4125503189234858, + "fos_yielding": 4.523132818844787, + "deflection": 14350703987497.865, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.506)" + }, + "parent_node_id": "node_960", + "improvement_over_parent": null + }, + "node_962": { + "node_id": "node_962", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0021)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n\nPerformance:\n Mass: 155.25 kg\n Factor of Safety: 0.37\n Max Deflection: 1.58e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 155.24696191990418, + "fos_buckling": 0.3746473723957495, + "fos_yielding": 4.061335893100651, + "deflection": 0.015770707935759836, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.005272)" + }, + "parent_node_id": "node_961", + "improvement_over_parent": null + }, + "node_963": { + "node_id": "node_963", + "content": "MODIFICATION: Increase 4 thickness by 65%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n\nPerformance:\n Mass: 156.91 kg\n Factor of Safety: 0.37\n Max Deflection: 1.57e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 156.90756420627596, + "fos_buckling": 0.37472115274636797, + "fos_yielding": 4.033839322027957, + "deflection": 0.015687140484739893, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.653)" + }, + "parent_node_id": "node_962", + "improvement_over_parent": null + }, + "node_964": { + "node_id": "node_964", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0050)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n Mass: 189.42 kg\n Factor of Safety: 0.44\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.42203752914028, + "fos_buckling": 0.43673408802100494, + "fos_yielding": 4.8641367281409424, + "deflection": 0.013052158743328462, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.227)" + }, + "parent_node_id": "node_963", + "improvement_over_parent": null + }, + "node_965": { + "node_id": "node_965", + "content": "MODIFICATION: Increase 3 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n Mass: 193.11 kg\n Factor of Safety: 0.43\n Max Deflection: 1.28e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.11288460337406, + "fos_buckling": 0.425679689882659, + "fos_yielding": 4.864016078353128, + "deflection": 0.012822456327844976, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.385)" + }, + "parent_node_id": "node_964", + "improvement_over_parent": null + }, + "node_966": { + "node_id": "node_966", + "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n Mass: 202.63 kg\n Factor of Safety: 1.48\n Max Deflection: 1.14e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.6285424203744, + "fos_buckling": 1.484478553058963, + "fos_yielding": 4.801147728246009, + "deflection": 0.011364416052811624, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.005227)" + }, + "parent_node_id": "node_965", + "improvement_over_parent": null + }, + "node_967": { + "node_id": "node_967", + "content": "MODIFICATION: Increase 0 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n Mass: 204.73 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.72626861926534, + "fos_buckling": 1.5304961878497783, + "fos_yielding": 4.837499412441061, + "deflection": 0.011225495801117496, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.357)" + }, + "parent_node_id": "node_966", + "improvement_over_parent": null + }, + "node_968": { + "node_id": "node_968", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_967", + "improvement_over_parent": null + }, + "node_969": { + "node_id": "node_969", + "content": "INITIAL DESIGN (Trace 138)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (17 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 174.18 kg\n Factor of Safety: 0.68\n Max Deflection: 1.57e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.1780507570025, + "fos_buckling": 0.6836803892855082, + "fos_yielding": 2.6644022220843007, + "deflection": 0.01568661401711368, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_970": { + "node_id": "node_970", + "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n Mass: 182.79 kg\n Factor of Safety: 0.68\n Max Deflection: 1.57e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.78853979007638, + "fos_buckling": 0.6821874500250565, + "fos_yielding": 2.633654629987671, + "deflection": 0.015690807017193317, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)" + }, + "parent_node_id": "node_969", + "improvement_over_parent": null + }, + "node_971": { + "node_id": "node_971", + "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n\nPerformance:\n Mass: 185.11 kg\n Factor of Safety: 0.68\n Max Deflection: 1.49e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.10647652259365, + "fos_buckling": 0.6819202078009532, + "fos_yielding": 4.084612701898625, + "deflection": 0.014890894283901914, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003025)" + }, + "parent_node_id": "node_970", + "improvement_over_parent": null + }, + "node_972": { + "node_id": "node_972", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n\nPerformance:\n Mass: 196.12 kg\n Factor of Safety: 1.15\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.12213339848063, + "fos_buckling": 1.154301016558168, + "fos_yielding": 5.162258209849386, + "deflection": 0.01187421093256875, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.005624)" + }, + "parent_node_id": "node_971", + "improvement_over_parent": null + }, + "node_973": { + "node_id": "node_973", + "content": "MODIFICATION: Increase 11 thickness by 38%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0074)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n\nPerformance:\n Mass: 197.83 kg\n Factor of Safety: 1.15\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.82994674952903, + "fos_buckling": 1.154301016558168, + "fos_yielding": 5.162258209849386, + "deflection": 0.01181107588886661, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.377)" + }, + "parent_node_id": "node_972", + "improvement_over_parent": null + }, + "node_974": { + "node_id": "node_974", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0074)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n Mass: 205.61 kg\n Factor of Safety: 1.35\n Max Deflection: 1.12e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.6115952617815, + "fos_buckling": 1.3457080304865932, + "fos_yielding": 4.837709063302818, + "deflection": 0.011175512042612253, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004727)" + }, + "parent_node_id": "node_973", + "improvement_over_parent": null + }, + "node_975": { + "node_id": "node_975", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_974", + "improvement_over_parent": null + }, + "node_976": { + "node_id": "node_976", + "content": "INITIAL DESIGN (Trace 139)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 180.10 kg\n Factor of Safety: 0.68\n Max Deflection: 1.23e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.10452881096893, + "fos_buckling": 0.6841351451504778, + "fos_yielding": 4.789796879336868, + "deflection": 0.012281608713521047, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_977": { + "node_id": "node_977", + "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n Mass: 191.53 kg\n Factor of Safety: 0.68\n Max Deflection: 1.39e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.53172897700856, + "fos_buckling": 0.6821526106463245, + "fos_yielding": 4.78850976670907, + "deflection": 0.013878779668590564, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.005728)" + }, + "parent_node_id": "node_976", + "improvement_over_parent": null + }, + "node_978": { + "node_id": "node_978", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M20: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n\nPerformance:\n Mass: 202.55 kg\n Factor of Safety: 1.52\n Max Deflection: 1.13e-02 m\n Status: FEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 202.54738585289553, + "fos_buckling": 1.5184318443454818, + "fos_yielding": 4.868496188275527, + "deflection": 0.011289832595740658, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.005624)" + }, + "parent_node_id": "node_977", + "improvement_over_parent": null + }, + "node_979": { + "node_id": "node_979", + "content": "MODIFICATION: Increase 14 thickness by 42%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M20: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70170643172045, + "fos_buckling": 1.5303939819759083, + "fos_yielding": 4.836781878814274, + "deflection": 0.011226761145665242, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.420)" + }, + "parent_node_id": "node_978", + "improvement_over_parent": null + }, + "node_980": { + "node_id": "node_980", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_979", + "improvement_over_parent": null + }, + "node_981": { + "node_id": "node_981", + "content": "INITIAL DESIGN (Trace 140)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0053)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0050)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0046)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0040)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0039)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0043)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0030)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0056)]\n\nPerformance:\n Mass: 147.18 kg\n Factor of Safety: 1.13\n Max Deflection: 1.53e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 147.1771732224434, + "fos_buckling": 1.1288671531677446, + "fos_yielding": 3.5672711458907744, + "deflection": 0.015341418816931358, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_982": { + "node_id": "node_982", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0054)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n\nPerformance:\n Mass: 180.03 kg\n Factor of Safety: 1.34\n Max Deflection: 1.26e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.0283535741626, + "fos_buckling": 1.3390078559512202, + "fos_yielding": 4.358410469259067, + "deflection": 0.012603352526114182, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.242)" + }, + "parent_node_id": "node_981", + "improvement_over_parent": null + }, + "node_983": { + "node_id": "node_983", + "content": "MODIFICATION: Increase 10 thickness by 49%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0054)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n\nPerformance:\n Mass: 180.23 kg\n Factor of Safety: 1.34\n Max Deflection: 1.26e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.22776727544817, + "fos_buckling": 1.3391739197920052, + "fos_yielding": 4.357895093593437, + "deflection": 0.012586185277934918, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.486)" + }, + "parent_node_id": "node_982", + "improvement_over_parent": null + }, + "node_984": { + "node_id": "node_984", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 200.11 kg\n Factor of Safety: 1.46\n Max Deflection: 1.14e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.10617449513677, + "fos_buckling": 1.4589357582483495, + "fos_yielding": 4.8351347705727035, + "deflection": 0.011369472869967196, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.121)" + }, + "parent_node_id": "node_983", + "improvement_over_parent": null + }, + "node_985": { + "node_id": "node_985", + "content": "MODIFICATION: Increase 19 thickness by 53%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.64 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.63531305439724, + "fos_buckling": 1.5300211138495576, + "fos_yielding": 4.835193209979743, + "deflection": 0.011230372389303562, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(19, thickness, 1.531)" + }, + "parent_node_id": "node_984", + "improvement_over_parent": null + }, + "node_986": { + "node_id": "node_986", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_985", + "improvement_over_parent": null + }, + "node_987": { + "node_id": "node_987", + "content": "INITIAL DESIGN (Trace 141)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0028)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0038)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0036)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0022)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0034)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0037)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0030)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0011)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0022)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0028)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0031)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0025)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0027)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0030)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0026)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0040)]\n\nPerformance:\n Mass: 100.15 kg\n Factor of Safety: 0.41\n Max Deflection: 2.71e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 100.15422922017513, + "fos_buckling": 0.40536726798041567, + "fos_yielding": 2.582327465185369, + "deflection": 0.027108033857579227, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_988": { + "node_id": "node_988", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0046)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0043)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0040)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n\nPerformance:\n Mass: 125.54 kg\n Factor of Safety: 0.50\n Max Deflection: 2.17e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 125.5438225188915, + "fos_buckling": 0.4952245968851924, + "fos_yielding": 3.2346852706753455, + "deflection": 0.021698537417297836, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.269)" + }, + "parent_node_id": "node_987", + "improvement_over_parent": null + }, + "node_989": { + "node_id": "node_989", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n\nPerformance:\n Mass: 154.87 kg\n Factor of Safety: 0.59\n Max Deflection: 1.77e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 154.87105521005864, + "fos_buckling": 0.5926185494140189, + "fos_yielding": 3.987085432610509, + "deflection": 0.017657655422202736, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.252)" + }, + "parent_node_id": "node_988", + "improvement_over_parent": null + }, + "node_990": { + "node_id": "node_990", + "content": "MODIFICATION: Increase 8 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n\nPerformance:\n Mass: 155.01 kg\n Factor of Safety: 0.59\n Max Deflection: 1.76e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 155.00721423933425, + "fos_buckling": 0.5926322429985725, + "fos_yielding": 4.000358499917906, + "deflection": 0.01759364047314258, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.181)" + }, + "parent_node_id": "node_989", + "improvement_over_parent": null + }, + "node_991": { + "node_id": "node_991", + "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n\nPerformance:\n Mass: 162.96 kg\n Factor of Safety: 0.59\n Max Deflection: 1.63e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.96072668980264, + "fos_buckling": 0.5922325590477872, + "fos_yielding": 4.000083702391861, + "deflection": 0.01630291750273613, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.004659)" + }, + "parent_node_id": "node_990", + "improvement_over_parent": null + }, + "node_992": { + "node_id": "node_992", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M20: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n\nPerformance:\n Mass: 172.22 kg\n Factor of Safety: 1.33\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.21755011214447, + "fos_buckling": 1.3276213714772476, + "fos_yielding": 4.073275057338505, + "deflection": 0.013280960414965022, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.004653)" + }, + "parent_node_id": "node_991", + "improvement_over_parent": null + }, + "node_993": { + "node_id": "node_993", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M20: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n\nPerformance:\n Mass: 204.98 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.98424182362888, + "fos_buckling": 1.5320814259513298, + "fos_yielding": 4.844004777104142, + "deflection": 0.011211404541551753, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.209)" + }, + "parent_node_id": "node_992", + "improvement_over_parent": null + }, + "node_994": { + "node_id": "node_994", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_993", + "improvement_over_parent": null + }, + "node_995": { + "node_id": "node_995", + "content": "INITIAL DESIGN (Trace 142)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0042)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0031)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n\nPerformance:\n Mass: 158.94 kg\n Factor of Safety: 1.02\n Max Deflection: 1.55e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 158.9368885966242, + "fos_buckling": 1.0214037121164337, + "fos_yielding": 3.4241353913287442, + "deflection": 0.015486450176654943, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_996": { + "node_id": "node_996", + "content": "MODIFICATION: Increase 12 thickness by 37%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0042)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n\nPerformance:\n Mass: 160.02 kg\n Factor of Safety: 1.02\n Max Deflection: 1.54e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 160.02140839499341, + "fos_buckling": 1.0229645326402137, + "fos_yielding": 3.9437195168626857, + "deflection": 0.015380163396229274, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.372)" + }, + "parent_node_id": "node_995", + "improvement_over_parent": null + }, + "node_997": { + "node_id": "node_997", + "content": "MODIFICATION: Increase 6 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0042)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n\nPerformance:\n Mass: 163.29 kg\n Factor of Safety: 1.29\n Max Deflection: 1.44e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.29366325093676, + "fos_buckling": 1.2878697095971976, + "fos_yielding": 3.9411975027648856, + "deflection": 0.014437635308748897, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.387)" + }, + "parent_node_id": "node_996", + "improvement_over_parent": null + }, + "node_998": { + "node_id": "node_998", + "content": "MODIFICATION: Increase 2 thickness by 38%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n\nPerformance:\n Mass: 166.72 kg\n Factor of Safety: 1.29\n Max Deflection: 1.37e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.72087964631814, + "fos_buckling": 1.291876086857758, + "fos_yielding": 3.9432515577168132, + "deflection": 0.013708138830032844, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.383)" + }, + "parent_node_id": "node_997", + "improvement_over_parent": null + }, + "node_999": { + "node_id": "node_999", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.68 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.68009107208522, + "fos_buckling": 1.5303107215098273, + "fos_yielding": 4.8361378104526445, + "deflection": 0.0112278360516099, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.250)" + }, + "parent_node_id": "node_998", + "improvement_over_parent": null + }, + "node_1000": { + "node_id": "node_1000", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_999", + "improvement_over_parent": null + }, + "node_1001": { + "node_id": "node_1001", + "content": "INITIAL DESIGN (Trace 143)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0054)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n\nPerformance:\n Mass: 170.15 kg\n Factor of Safety: 0.63\n Max Deflection: 1.65e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.1490197815515, + "fos_buckling": 0.6276196022485285, + "fos_yielding": 3.9508548272347905, + "deflection": 0.01650569588764339, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1002": { + "node_id": "node_1002", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 188.92 kg\n Factor of Safety: 0.68\n Max Deflection: 1.49e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.91893400036562, + "fos_buckling": 0.6832957395379899, + "fos_yielding": 4.387852579603147, + "deflection": 0.01489270768351787, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.121)" + }, + "parent_node_id": "node_1001", + "improvement_over_parent": null + }, + "node_1003": { + "node_id": "node_1003", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n\nPerformance:\n Mass: 199.93 kg\n Factor of Safety: 1.20\n Max Deflection: 1.22e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.9345908762526, + "fos_buckling": 1.1964770870910932, + "fos_yielding": 4.842425284767305, + "deflection": 0.012182461843391923, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.005624)" + }, + "parent_node_id": "node_1002", + "improvement_over_parent": null + }, + "node_1004": { + "node_id": "node_1004", + "content": "MODIFICATION: Increase 6 thickness by 51%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n\nPerformance:\n Mass: 204.76 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.76132391343313, + "fos_buckling": 1.5308078214172687, + "fos_yielding": 4.838384907856688, + "deflection": 0.01122394000615359, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.511)" + }, + "parent_node_id": "node_1003", + "improvement_over_parent": null + }, + "node_1005": { + "node_id": "node_1005", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1004", + "improvement_over_parent": null + }, + "node_1006": { + "node_id": "node_1006", + "content": "INITIAL DESIGN (Trace 144)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0054)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0050)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0037)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0039)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0042)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0057)]\n\nPerformance:\n Mass: 141.21 kg\n Factor of Safety: 0.80\n Max Deflection: 1.70e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 141.21157238043753, + "fos_buckling": 0.8041379469654549, + "fos_yielding": 3.0557972854149758, + "deflection": 0.016964456718713994, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1007": { + "node_id": "node_1007", + "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0054)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0050)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0037)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0039)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0042)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0057)]\n M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n\nPerformance:\n Mass: 143.54 kg\n Factor of Safety: 0.86\n Max Deflection: 1.71e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 143.54384086636912, + "fos_buckling": 0.8594288527062075, + "fos_yielding": 3.0474309258409735, + "deflection": 0.017079109674796304, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003045)" + }, + "parent_node_id": "node_1006", + "improvement_over_parent": null + }, + "node_1008": { + "node_id": "node_1008", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n\nPerformance:\n Mass: 169.92 kg\n Factor of Safety: 0.99\n Max Deflection: 1.45e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.92441391798758, + "fos_buckling": 0.9907784320523939, + "fos_yielding": 3.6124057216108225, + "deflection": 0.014478779601406224, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.199)" + }, + "parent_node_id": "node_1007", + "improvement_over_parent": null + }, + "node_1009": { + "node_id": "node_1009", + "content": "MODIFICATION: Increase 7 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n\nPerformance:\n Mass: 170.76 kg\n Factor of Safety: 0.99\n Max Deflection: 1.44e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.75523640525827, + "fos_buckling": 0.9907784320523949, + "fos_yielding": 4.282463861857533, + "deflection": 0.01441595277950655, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.208)" + }, + "parent_node_id": "node_1008", + "improvement_over_parent": null + }, + "node_1010": { + "node_id": "node_1010", + "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n\nPerformance:\n Mass: 179.14 kg\n Factor of Safety: 1.21\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.1398233071863, + "fos_buckling": 1.206529319604914, + "fos_yielding": 4.283744179655602, + "deflection": 0.01311454327784243, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.004933)" + }, + "parent_node_id": "node_1009", + "improvement_over_parent": null + }, + "node_1011": { + "node_id": "node_1011", + "content": "MODIFICATION: Increase 5 thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n\nPerformance:\n Mass: 181.37 kg\n Factor of Safety: 1.39\n Max Deflection: 1.26e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.3734810263255, + "fos_buckling": 1.3862486259916684, + "fos_yielding": 4.289065424022119, + "deflection": 0.012627080473345301, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.274)" + }, + "parent_node_id": "node_1010", + "improvement_over_parent": null + }, + "node_1012": { + "node_id": "node_1012", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n Mass: 204.81 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.81182630975445, + "fos_buckling": 1.5310154942461198, + "fos_yielding": 4.8402761986577945, + "deflection": 0.01122029341988855, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.142)" + }, + "parent_node_id": "node_1011", + "improvement_over_parent": null + }, + "node_1013": { + "node_id": "node_1013", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1012", + "improvement_over_parent": null + }, + "node_1014": { + "node_id": "node_1014", + "content": "INITIAL DESIGN (Trace 145)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0026)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0031)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0036)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0034)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0021)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0024)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0035)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0028)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0028)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0026)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0023)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0026)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0028)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0020)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0024)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0031)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0038)]\n\nPerformance:\n Mass: 95.12 kg\n Factor of Safety: 0.26\n Max Deflection: 3.20e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 95.11910221812619, + "fos_buckling": 0.2561640710585491, + "fos_yielding": 2.137972852733866, + "deflection": 0.03200399850374556, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1015": { + "node_id": "node_1015", + "content": "MODIFICATION: Increase 15 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0026)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0031)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0036)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0034)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0021)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0024)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0035)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0028)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0028)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0026)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0023)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0026)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0028)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0028)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0024)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0031)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0038)]\n\nPerformance:\n Mass: 96.72 kg\n Factor of Safety: 0.26\n Max Deflection: 3.23e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 96.71519282111004, + "fos_buckling": 0.25606068413491023, + "fos_yielding": 2.1378044304839503, + "deflection": 0.03231589653378503, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.389)" + }, + "parent_node_id": "node_1014", + "improvement_over_parent": null + }, + "node_1016": { + "node_id": "node_1016", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0046)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0043)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0030)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n\nPerformance:\n Mass: 122.33 kg\n Factor of Safety: 0.31\n Max Deflection: 2.57e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 122.33358819791677, + "fos_buckling": 0.31473125031133703, + "fos_yielding": 2.700189037900531, + "deflection": 0.025671281760254214, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.280)" + }, + "parent_node_id": "node_1015", + "improvement_over_parent": null + }, + "node_1017": { + "node_id": "node_1017", + "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0046)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0043)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0030)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n\nPerformance:\n Mass: 130.49 kg\n Factor of Safety: 0.83\n Max Deflection: 1.79e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 130.4927283140254, + "fos_buckling": 0.832341084651522, + "fos_yielding": 3.082350249951532, + "deflection": 0.01787667407350234, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.003777)" + }, + "parent_node_id": "node_1016", + "improvement_over_parent": null + }, + "node_1018": { + "node_id": "node_1018", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0039)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n\nPerformance:\n Mass: 164.47 kg\n Factor of Safety: 1.02\n Max Deflection: 1.42e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.4736993978171, + "fos_buckling": 1.0240999710470353, + "fos_yielding": 3.880837153641018, + "deflection": 0.014245384178267784, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.280)" + }, + "parent_node_id": "node_1017", + "improvement_over_parent": null + }, + "node_1019": { + "node_id": "node_1019", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 200.62 kg\n Factor of Safety: 1.22\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.6158702015282, + "fos_buckling": 1.2169416734019405, + "fos_yielding": 4.728199357276154, + "deflection": 0.011732600103366074, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.241)" + }, + "parent_node_id": "node_1018", + "improvement_over_parent": null + }, + "node_1020": { + "node_id": "node_1020", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M20: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n\nPerformance:\n Mass: 201.74 kg\n Factor of Safety: 1.29\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.74251802181482, + "fos_buckling": 1.2928088094196146, + "fos_yielding": 4.829120817731188, + "deflection": 0.011753426113840703, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002506)" + }, + "parent_node_id": "node_1019", + "improvement_over_parent": null + }, + "node_1021": { + "node_id": "node_1021", + "content": "MODIFICATION: Increase 5 thickness by 34%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M20: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n\nPerformance:\n Mass: 204.69 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.69037536153672, + "fos_buckling": 1.5302907589095895, + "fos_yielding": 4.836396701668642, + "deflection": 0.011227058136305548, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.339)" + }, + "parent_node_id": "node_1020", + "improvement_over_parent": null + }, + "node_1022": { + "node_id": "node_1022", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1021", + "improvement_over_parent": null + }, + "node_1023": { + "node_id": "node_1023", + "content": "INITIAL DESIGN (Trace 146)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0054)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0043)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0028)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0057)]\n\nPerformance:\n Mass: 143.22 kg\n Factor of Safety: 0.36\n Max Deflection: 1.91e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 143.22129737958682, + "fos_buckling": 0.3587702629520607, + "fos_yielding": 2.9947971970378946, + "deflection": 0.01907496880400876, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1024": { + "node_id": "node_1024", + "content": "MODIFICATION: Increase 12 thickness by 45%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0054)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0043)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0057)]\n\nPerformance:\n Mass: 144.38 kg\n Factor of Safety: 0.36\n Max Deflection: 1.89e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 144.37739038149164, + "fos_buckling": 0.35877026295206055, + "fos_yielding": 3.1504329326012237, + "deflection": 0.018930830641196234, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.445)" + }, + "parent_node_id": "node_1023", + "improvement_over_parent": null + }, + "node_1025": { + "node_id": "node_1025", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n Mass: 169.15 kg\n Factor of Safety: 0.41\n Max Deflection: 1.62e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.15331991392836, + "fos_buckling": 0.408525360200455, + "fos_yielding": 3.685898357833997, + "deflection": 0.016221614802247614, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.186)" + }, + "parent_node_id": "node_1024", + "improvement_over_parent": null + }, + "node_1026": { + "node_id": "node_1026", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 189.81 kg\n Factor of Safety: 0.45\n Max Deflection: 1.45e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.80618440578064, + "fos_buckling": 0.44747118036363537, + "fos_yielding": 4.131087426170145, + "deflection": 0.01450378306604505, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.134)" + }, + "parent_node_id": "node_1025", + "improvement_over_parent": null + }, + "node_1027": { + "node_id": "node_1027", + "content": "MODIFICATION: Increase 3 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 191.98 kg\n Factor of Safety: 0.45\n Max Deflection: 1.44e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.98379372783475, + "fos_buckling": 0.4473908234510318, + "fos_yielding": 4.130940149707481, + "deflection": 0.014370050085042718, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.199)" + }, + "parent_node_id": "node_1026", + "improvement_over_parent": null + }, + "node_1028": { + "node_id": "node_1028", + "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 204.52 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.52278606780405, + "fos_buckling": 1.5290632527502683, + "fos_yielding": 4.832424877527205, + "deflection": 0.011236365237535158, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)" + }, + "parent_node_id": "node_1027", + "improvement_over_parent": null + }, + "node_1029": { + "node_id": "node_1029", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1028", + "improvement_over_parent": null + }, + "node_1030": { + "node_id": "node_1030", + "content": "INITIAL DESIGN (Trace 147)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0036)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n Mass: 141.64 kg\n Factor of Safety: 0.95\n Max Deflection: 1.68e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 141.63794953690564, + "fos_buckling": 0.9497945899882996, + "fos_yielding": 3.416571450098662, + "deflection": 0.01675236893873644, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1031": { + "node_id": "node_1031", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n\nPerformance:\n Mass: 171.83 kg\n Factor of Safety: 1.13\n Max Deflection: 1.39e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.82535630294066, + "fos_buckling": 1.1294109594058561, + "fos_yielding": 4.140462119524278, + "deflection": 0.013860432031918295, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.230)" + }, + "parent_node_id": "node_1030", + "improvement_over_parent": null + }, + "node_1032": { + "node_id": "node_1032", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 200.97 kg\n Factor of Safety: 1.30\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.96616824360277, + "fos_buckling": 1.2952534125209902, + "fos_yielding": 4.837772754872399, + "deflection": 0.011892480870477808, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.186)" + }, + "parent_node_id": "node_1031", + "improvement_over_parent": null + }, + "node_1033": { + "node_id": "node_1033", + "content": "MODIFICATION: Increase 6 thickness by 35%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.62 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.620298857316, + "fos_buckling": 1.529925958075932, + "fos_yielding": 4.834951168281701, + "deflection": 0.011231268718287692, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.348)" + }, + "parent_node_id": "node_1032", + "improvement_over_parent": null + }, + "node_1034": { + "node_id": "node_1034", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1033", + "improvement_over_parent": null + }, + "node_1035": { + "node_id": "node_1035", + "content": "INITIAL DESIGN (Trace 148)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0035)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n\nPerformance:\n Mass: 146.69 kg\n Factor of Safety: 0.22\n Max Deflection: 1.53e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 146.69009496311259, + "fos_buckling": 0.22415636762411922, + "fos_yielding": 3.718681745099533, + "deflection": 0.0152944078442221, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1036": { + "node_id": "node_1036", + "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0035)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n\nPerformance:\n Mass: 155.52 kg\n Factor of Safety: 1.00\n Max Deflection: 1.52e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 155.51618181603695, + "fos_buckling": 1.0027991393237872, + "fos_yielding": 3.733747569988801, + "deflection": 0.015237986363238214, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004328)" + }, + "parent_node_id": "node_1035", + "improvement_over_parent": null + }, + "node_1037": { + "node_id": "node_1037", + "content": "MODIFICATION: Increase 5 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n\nPerformance:\n Mass: 158.11 kg\n Factor of Safety: 1.23\n Max Deflection: 1.44e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 158.1066225805943, + "fos_buckling": 1.234879684744872, + "fos_yielding": 3.740458433217436, + "deflection": 0.014436576270305168, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.393)" + }, + "parent_node_id": "node_1036", + "improvement_over_parent": null + }, + "node_1038": { + "node_id": "node_1038", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n Mass: 204.63 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.63498648951244, + "fos_buckling": 1.5299831161226363, + "fos_yielding": 4.835186810199432, + "deflection": 0.011230058728619527, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.323)" + }, + "parent_node_id": "node_1037", + "improvement_over_parent": null + }, + "node_1039": { + "node_id": "node_1039", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1038", + "improvement_over_parent": null + }, + "node_1040": { + "node_id": "node_1040", + "content": "INITIAL DESIGN (Trace 149)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n\nPerformance:\n Mass: 164.67 kg\n Factor of Safety: 0.45\n Max Deflection: 2.06e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.66999957310142, + "fos_buckling": 0.44725912612720686, + "fos_yielding": 3.072513945394416, + "deflection": 0.020563886209036545, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1041": { + "node_id": "node_1041", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n Mass: 183.25 kg\n Factor of Safety: 0.49\n Max Deflection: 1.85e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.24988720916298, + "fos_buckling": 0.48799766955401874, + "fos_yielding": 3.415640494136016, + "deflection": 0.018511341276072367, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.124)" + }, + "parent_node_id": "node_1040", + "improvement_over_parent": null + }, + "node_1042": { + "node_id": "node_1042", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n Mass: 183.97 kg\n Factor of Safety: 0.49\n Max Deflection: 1.85e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.96601903563663, + "fos_buckling": 0.48795816931304037, + "fos_yielding": 3.415491753553152, + "deflection": 0.01846125445203284, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)" + }, + "parent_node_id": "node_1041", + "improvement_over_parent": null + }, + "node_1043": { + "node_id": "node_1043", + "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.81 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.81423052461514, + "fos_buckling": 1.530620566365675, + "fos_yielding": 4.839751174449115, + "deflection": 0.011220678547957027, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.007737)" + }, + "parent_node_id": "node_1042", + "improvement_over_parent": null + }, + "node_1044": { + "node_id": "node_1044", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1043", + "improvement_over_parent": null + }, + "node_1045": { + "node_id": "node_1045", + "content": "INITIAL DESIGN (Trace 150)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0046)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 193.73 kg\n Factor of Safety: 0.98\n Max Deflection: 1.38e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.73416796172992, + "fos_buckling": 0.9790893563939045, + "fos_yielding": 4.533368058589505, + "deflection": 0.013844244007629463, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1046": { + "node_id": "node_1046", + "content": "MODIFICATION: Increase 1 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0046)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 195.94 kg\n Factor of Safety: 0.98\n Max Deflection: 1.37e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.94351684571902, + "fos_buckling": 0.9845067447458855, + "fos_yielding": 4.539975741470415, + "deflection": 0.01371297296365097, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.250)" + }, + "parent_node_id": "node_1045", + "improvement_over_parent": null + }, + "node_1047": { + "node_id": "node_1047", + "content": "MODIFICATION: Increase 2 thickness by 60%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 201.59 kg\n Factor of Safety: 0.90\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.5880647650504, + "fos_buckling": 0.8988529340586089, + "fos_yielding": 4.853131875643315, + "deflection": 0.012403349781363907, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.597)" + }, + "parent_node_id": "node_1046", + "improvement_over_parent": null + }, + "node_1048": { + "node_id": "node_1048", + "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70344266477082, + "fos_buckling": 1.5303955767656972, + "fos_yielding": 4.8367718340708015, + "deflection": 0.011226550697134293, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)" + }, + "parent_node_id": "node_1047", + "improvement_over_parent": null + }, + "node_1049": { + "node_id": "node_1049", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1048", + "improvement_over_parent": null + }, + "node_1050": { + "node_id": "node_1050", + "content": "INITIAL DESIGN (Trace 151)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n Mass: 158.94 kg\n Factor of Safety: 0.87\n Max Deflection: 1.62e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 158.93973103990749, + "fos_buckling": 0.8702484285510806, + "fos_yielding": 3.875330318367183, + "deflection": 0.016197185135838475, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1051": { + "node_id": "node_1051", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 200.92 kg\n Factor of Safety: 1.06\n Max Deflection: 1.29e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.92462081081487, + "fos_buckling": 1.0621737641904205, + "fos_yielding": 4.89334719667893, + "deflection": 0.012856945722187839, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.290)" + }, + "parent_node_id": "node_1050", + "improvement_over_parent": null + }, + "node_1052": { + "node_id": "node_1052", + "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n Mass: 204.04 kg\n Factor of Safety: 1.53\n Max Deflection: 1.13e-02 m\n Status: FEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.0399987105353, + "fos_buckling": 1.528869675339248, + "fos_yielding": 4.842250506390331, + "deflection": 0.011341481410088282, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)" + }, + "parent_node_id": "node_1051", + "improvement_over_parent": null + }, + "node_1053": { + "node_id": "node_1053", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n Mass: 204.76 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.75613053700894, + "fos_buckling": 1.5307187691859165, + "fos_yielding": 4.838107118533939, + "deflection": 0.011223833956857764, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)" + }, + "parent_node_id": "node_1052", + "improvement_over_parent": null + }, + "node_1054": { + "node_id": "node_1054", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1053", + "improvement_over_parent": null + }, + "node_1055": { + "node_id": "node_1055", + "content": "INITIAL DESIGN (Trace 152)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0022)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0045)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0042)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0039)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0034)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0035)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0011)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0037)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0029)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0032)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0035)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0047)]\n\nPerformance:\n Mass: 115.10 kg\n Factor of Safety: 0.74\n Max Deflection: 2.13e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 115.09699568591343, + "fos_buckling": 0.7404990870932977, + "fos_yielding": 3.256843149721866, + "deflection": 0.021310914323054538, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1056": { + "node_id": "node_1056", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0028)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n\nPerformance:\n Mass: 147.99 kg\n Factor of Safety: 0.92\n Max Deflection: 1.67e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 147.99243782099748, + "fos_buckling": 0.9202519865478729, + "fos_yielding": 4.185974742415103, + "deflection": 0.016656970661701333, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.307)" + }, + "parent_node_id": "node_1055", + "improvement_over_parent": null + }, + "node_1057": { + "node_id": "node_1057", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 182.54 kg\n Factor of Safety: 1.09\n Max Deflection: 1.36e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.53933320806505, + "fos_buckling": 1.0940338605114217, + "fos_yielding": 5.160859868978742, + "deflection": 0.013574657184815516, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.256)" + }, + "parent_node_id": "node_1056", + "improvement_over_parent": null + }, + "node_1058": { + "node_id": "node_1058", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 187.85 kg\n Factor of Safety: 1.09\n Max Deflection: 1.26e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 187.84737868505954, + "fos_buckling": 1.0938698458372436, + "fos_yielding": 4.781098713691593, + "deflection": 0.012567895816041171, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)" + }, + "parent_node_id": "node_1057", + "improvement_over_parent": null + }, + "node_1059": { + "node_id": "node_1059", + "content": "MODIFICATION: Increase 9 thickness by 38%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0028)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 188.09 kg\n Factor of Safety: 1.09\n Max Deflection: 1.26e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.0871053075585, + "fos_buckling": 1.0938402215811385, + "fos_yielding": 4.780906799347057, + "deflection": 0.01256470621913522, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.383)" + }, + "parent_node_id": "node_1058", + "improvement_over_parent": null + }, + "node_1060": { + "node_id": "node_1060", + "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0028)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n Mass: 201.97 kg\n Factor of Safety: 1.41\n Max Deflection: 1.14e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.97201218318008, + "fos_buckling": 1.4084531109689862, + "fos_yielding": 4.782069730489932, + "deflection": 0.011401052471177082, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)" + }, + "parent_node_id": "node_1059", + "improvement_over_parent": null + }, + "node_1061": { + "node_id": "node_1061", + "content": "MODIFICATION: Increase 0 thickness by 50%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0028)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n Mass: 204.64 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.63776083051658, + "fos_buckling": 1.5306057424739572, + "fos_yielding": 4.8296492081338025, + "deflection": 0.011212589527752646, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.497)" + }, + "parent_node_id": "node_1060", + "improvement_over_parent": null + }, + "node_1062": { + "node_id": "node_1062", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1061", + "improvement_over_parent": null + }, + "node_1063": { + "node_id": "node_1063", + "content": "INITIAL DESIGN (Trace 153)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n\nPerformance:\n Mass: 145.20 kg\n Factor of Safety: 0.42\n Max Deflection: 2.24e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 145.2002152486624, + "fos_buckling": 0.41815904166363255, + "fos_yielding": 2.8347794959784993, + "deflection": 0.022364705646879927, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1064": { + "node_id": "node_1064", + "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n\nPerformance:\n Mass: 152.34 kg\n Factor of Safety: 0.42\n Max Deflection: 2.22e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 152.33548371475, + "fos_buckling": 0.417736335891149, + "fos_yielding": 2.833239313574273, + "deflection": 0.022227761208353503, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004052)" + }, + "parent_node_id": "node_1063", + "improvement_over_parent": null + }, + "node_1065": { + "node_id": "node_1065", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n Mass: 183.82 kg\n Factor of Safety: 0.49\n Max Deflection: 1.85e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.8245498385162, + "fos_buckling": 0.48765504723041814, + "fos_yielding": 3.4128794978862103, + "deflection": 0.018475273967134515, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.227)" + }, + "parent_node_id": "node_1064", + "improvement_over_parent": null + }, + "node_1066": { + "node_id": "node_1066", + "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.67 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.6727613274947, + "fos_buckling": 1.5304095199347523, + "fos_yielding": 4.836029833148821, + "deflection": 0.011228352682818028, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.007737)" + }, + "parent_node_id": "node_1065", + "improvement_over_parent": null + }, + "node_1067": { + "node_id": "node_1067", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1066", + "improvement_over_parent": null + }, + "node_1068": { + "node_id": "node_1068", + "content": "INITIAL DESIGN (Trace 154)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0029)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0034)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0040)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0037)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0023)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0029)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0031)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0031)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0023)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0029)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0033)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0026)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0028)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0030)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0027)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0024)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0042)]\n\nPerformance:\n Mass: 97.01 kg\n Factor of Safety: 0.07\n Max Deflection: 5.00e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 97.00634420209707, + "fos_buckling": 0.06782880314629446, + "fos_yielding": 0.9860844127543579, + "deflection": 50026252164298.19, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1069": { + "node_id": "node_1069", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0037)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0031)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0054)]\n\nPerformance:\n Mass: 123.65 kg\n Factor of Safety: 0.35\n Max Deflection: 1.19e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 123.65204919279188, + "fos_buckling": 0.35239630689730156, + "fos_yielding": 3.199199141271147, + "deflection": 11888747967368.832, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.292)" + }, + "parent_node_id": "node_1068", + "improvement_over_parent": null + }, + "node_1070": { + "node_id": "node_1070", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0047)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n\nPerformance:\n Mass: 154.04 kg\n Factor of Safety: 0.26\n Max Deflection: 2.58e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 154.04002412036746, + "fos_buckling": 0.25630174546947293, + "fos_yielding": 1.9721688255087158, + "deflection": 25802612991482.76, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.266)" + }, + "parent_node_id": "node_1069", + "improvement_over_parent": null + }, + "node_1071": { + "node_id": "node_1071", + "content": "MODIFICATION: Increase 17 thickness by 43%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0047)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n\nPerformance:\n Mass: 157.56 kg\n Factor of Safety: 0.13\n Max Deflection: 1.79e+13 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.56316863640075, + "fos_buckling": 0.12815087273473647, + "fos_yielding": 1.6505945790782484, + "deflection": 17932289232307.27, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.429)" + }, + "parent_node_id": "node_1070", + "improvement_over_parent": null + }, + "node_1072": { + "node_id": "node_1072", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 176.22 kg\n Factor of Safety: 0.32\n Max Deflection: 8.97e+12 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.22179271025567, + "fos_buckling": 0.31969643413299487, + "fos_yielding": 3.6025419270211287, + "deflection": 8973284939159.855, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.130)" + }, + "parent_node_id": "node_1071", + "improvement_over_parent": null + }, + "node_1073": { + "node_id": "node_1073", + "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n Mass: 187.65 kg\n Factor of Safety: 0.28\n Max Deflection: 3.43e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 187.6489928762953, + "fos_buckling": 0.27675970895122926, + "fos_yielding": 1.362230670787421, + "deflection": 0.03428844091425347, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.005728)" + }, + "parent_node_id": "node_1072", + "improvement_over_parent": null + }, + "node_1074": { + "node_id": "node_1074", + "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 202.83 kg\n Factor of Safety: 1.38\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.8335468911967, + "fos_buckling": 1.3793831553972906, + "fos_yielding": 4.837731570819412, + "deflection": 0.011558118465457356, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)" + }, + "parent_node_id": "node_1073", + "improvement_over_parent": null + }, + "node_1075": { + "node_id": "node_1075", + "content": "MODIFICATION: Increase 5 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 204.90 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.90338476576784, + "fos_buckling": 1.5318325212935795, + "fos_yielding": 4.8424489030598705, + "deflection": 0.011216511998433935, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.218)" + }, + "parent_node_id": "node_1074", + "improvement_over_parent": null + }, + "node_1076": { + "node_id": "node_1076", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1075", + "improvement_over_parent": null + }, + "node_1077": { + "node_id": "node_1077", + "content": "INITIAL DESIGN (Trace 155)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0025)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0029)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n\nPerformance:\n Mass: 132.75 kg\n Factor of Safety: 1.04\n Max Deflection: 1.69e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 132.7512059560495, + "fos_buckling": 1.0431514720755068, + "fos_yielding": 3.2395568406260242, + "deflection": 0.016922295619341568, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1078": { + "node_id": "node_1078", + "content": "MODIFICATION: Increase 19 thickness by 43%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0025)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n\nPerformance:\n Mass: 135.41 kg\n Factor of Safety: 1.09\n Max Deflection: 1.67e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 135.4087468843438, + "fos_buckling": 1.0863448963596307, + "fos_yielding": 3.2396143702221347, + "deflection": 0.016744548550871943, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(19, thickness, 1.427)" + }, + "parent_node_id": "node_1077", + "improvement_over_parent": null + }, + "node_1079": { + "node_id": "node_1079", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n Mass: 161.65 kg\n Factor of Safety: 1.27\n Max Deflection: 1.41e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 161.65234613594947, + "fos_buckling": 1.2658112670713513, + "fos_yielding": 3.864460394029433, + "deflection": 0.014080980924026163, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.208)" + }, + "parent_node_id": "node_1078", + "improvement_over_parent": null + }, + "node_1080": { + "node_id": "node_1080", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 203.20 kg\n Factor of Safety: 1.53\n Max Deflection: 1.13e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 203.2040553796129, + "fos_buckling": 1.529654355174824, + "fos_yielding": 4.851715203746384, + "deflection": 0.011270771859111078, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.282)" + }, + "parent_node_id": "node_1079", + "improvement_over_parent": null + }, + "node_1081": { + "node_id": "node_1081", + "content": "MODIFICATION: Increase 14 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.56 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.56053384810355, + "fos_buckling": 1.5295657981833999, + "fos_yielding": 4.833386987479036, + "deflection": 0.011234393156956119, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.232)" + }, + "parent_node_id": "node_1080", + "improvement_over_parent": null + }, + "node_1082": { + "node_id": "node_1082", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1081", + "improvement_over_parent": null + }, + "node_1083": { + "node_id": "node_1083", + "content": "INITIAL DESIGN (Trace 156)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0043)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0038)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0033)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0035)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0028)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0020)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0033)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0034)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0029)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0046)]\n\nPerformance:\n Mass: 120.07 kg\n Factor of Safety: 0.77\n Max Deflection: 1.93e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 120.07284665632757, + "fos_buckling": 0.7691693129387618, + "fos_yielding": 3.160052190437604, + "deflection": 0.01926475602910688, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1084": { + "node_id": "node_1084", + "content": "MODIFICATION: Increase 14 thickness by 53%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0043)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0038)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0033)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0035)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0028)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0033)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0034)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0029)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0046)]\n\nPerformance:\n Mass: 122.03 kg\n Factor of Safety: 0.77\n Max Deflection: 1.92e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 122.03299763157874, + "fos_buckling": 0.7685379052742021, + "fos_yielding": 3.160052190437605, + "deflection": 0.019157703316736736, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.534)" + }, + "parent_node_id": "node_1083", + "improvement_over_parent": null + }, + "node_1085": { + "node_id": "node_1085", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0049)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0046)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0043)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0040)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0052)]\n\nPerformance:\n Mass: 137.54 kg\n Factor of Safety: 0.85\n Max Deflection: 1.70e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 137.54051414366654, + "fos_buckling": 0.8518553952781056, + "fos_yielding": 3.561312972125997, + "deflection": 0.017039351879057932, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.135)" + }, + "parent_node_id": "node_1084", + "improvement_over_parent": null + }, + "node_1086": { + "node_id": "node_1086", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0049)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0046)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0043)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0040)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0052)]\n M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n\nPerformance:\n Mass: 141.20 kg\n Factor of Safety: 1.12\n Max Deflection: 1.61e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 141.20190532847553, + "fos_buckling": 1.1200350913407067, + "fos_yielding": 3.341977400224557, + "deflection": 0.01612560471191953, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.002824)" + }, + "parent_node_id": "node_1085", + "improvement_over_parent": null + }, + "node_1087": { + "node_id": "node_1087", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n\nPerformance:\n Mass: 161.72 kg\n Factor of Safety: 1.26\n Max Deflection: 1.41e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 161.72434429470457, + "fos_buckling": 1.258906289370879, + "fos_yielding": 3.8255989404157713, + "deflection": 0.014121694655998026, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.156)" + }, + "parent_node_id": "node_1086", + "improvement_over_parent": null + }, + "node_1088": { + "node_id": "node_1088", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 204.45 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.45211635001314, + "fos_buckling": 1.5288620617753401, + "fos_yielding": 4.830795754709394, + "deflection": 0.01124026180157839, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.290)" + }, + "parent_node_id": "node_1087", + "improvement_over_parent": null + }, + "node_1089": { + "node_id": "node_1089", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1088", + "improvement_over_parent": null + }, + "node_1090": { + "node_id": "node_1090", + "content": "INITIAL DESIGN (Trace 157)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n\nPerformance:\n Mass: 117.68 kg\n Factor of Safety: 0.18\n Max Deflection: 5.59e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 117.67743756590326, + "fos_buckling": 0.18466988629146835, + "fos_yielding": 0.8782524711611266, + "deflection": 0.05591575256319347, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1091": { + "node_id": "node_1091", + "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n\nPerformance:\n Mass: 126.02 kg\n Factor of Safety: 0.20\n Max Deflection: 5.04e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 126.01590784129186, + "fos_buckling": 0.19677555456540644, + "fos_yielding": 0.931367033978663, + "deflection": 0.05037594984084299, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.003865)" + }, + "parent_node_id": "node_1090", + "improvement_over_parent": null + }, + "node_1092": { + "node_id": "node_1092", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n\nPerformance:\n Mass: 152.05 kg\n Factor of Safety: 0.23\n Max Deflection: 4.19e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 152.0524329012434, + "fos_buckling": 0.23095536872573602, + "fos_yielding": 1.1203401151348482, + "deflection": 0.041888873209501944, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.222)" + }, + "parent_node_id": "node_1091", + "improvement_over_parent": null + }, + "node_1093": { + "node_id": "node_1093", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 189.58 kg\n Factor of Safety: 0.28\n Max Deflection: 3.38e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.58233045712947, + "fos_buckling": 0.2764337517599792, + "fos_yielding": 1.390693945149826, + "deflection": 0.03375719840186157, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.271)" + }, + "parent_node_id": "node_1092", + "improvement_over_parent": null + }, + "node_1094": { + "node_id": "node_1094", + "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 204.77 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.76688447203088, + "fos_buckling": 1.530830131570377, + "fos_yielding": 4.8384806414053845, + "deflection": 0.011223825185742903, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)" + }, + "parent_node_id": "node_1093", + "improvement_over_parent": null + }, + "node_1095": { + "node_id": "node_1095", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1094", + "improvement_over_parent": null + }, + "node_1096": { + "node_id": "node_1096", + "content": "INITIAL DESIGN (Trace 158)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (17 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 0, + "fos_buckling": 0, + "fos_yielding": 0, + "deflection": Infinity, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1097": { + "node_id": "node_1097", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M17: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n Mass: 183.79 kg\n Factor of Safety: 0.34\n Max Deflection: 3.20e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.79026527767735, + "fos_buckling": 0.3375786165377022, + "fos_yielding": 1.416068225706793, + "deflection": 0.03197591062686265, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004727)" + }, + "parent_node_id": "node_1096", + "improvement_over_parent": null + }, + "node_1098": { + "node_id": "node_1098", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M17: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M18: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n Mass: 196.28 kg\n Factor of Safety: 0.89\n Max Deflection: 1.27e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.2780723546941, + "fos_buckling": 0.8935009240514529, + "fos_yielding": 5.161214335953999, + "deflection": 0.012708204160949386, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.006468)" + }, + "parent_node_id": "node_1097", + "improvement_over_parent": null + }, + "node_1099": { + "node_id": "node_1099", + "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M17: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M18: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n Mass: 199.39 kg\n Factor of Safety: 1.15\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.39345025441452, + "fos_buckling": 1.1534443958336982, + "fos_yielding": 5.161214335953997, + "deflection": 0.011868028676826143, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)" + }, + "parent_node_id": "node_1098", + "improvement_over_parent": null + }, + "node_1100": { + "node_id": "node_1100", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M17: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M18: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.701495731409, + "fos_buckling": 1.5304009441853288, + "fos_yielding": 4.836781265114335, + "deflection": 0.011226791446805549, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)" + }, + "parent_node_id": "node_1099", + "improvement_over_parent": null + }, + "node_1101": { + "node_id": "node_1101", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1100", + "improvement_over_parent": null + }, + "node_1102": { + "node_id": "node_1102", + "content": "INITIAL DESIGN (Trace 159)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0046)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n\nPerformance:\n Mass: 126.54 kg\n Factor of Safety: 0.17\n Max Deflection: 1.76e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 126.54162230305523, + "fos_buckling": 0.170859717486085, + "fos_yielding": 3.159023795279272, + "deflection": 0.017649752662935784, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1103": { + "node_id": "node_1103", + "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0046)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n\nPerformance:\n Mass: 134.02 kg\n Factor of Safety: 1.07\n Max Deflection: 1.70e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 134.02255562138, + "fos_buckling": 1.070070034747434, + "fos_yielding": 3.1727908747309526, + "deflection": 0.016970983651866563, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.003629)" + }, + "parent_node_id": "node_1102", + "improvement_over_parent": null + }, + "node_1104": { + "node_id": "node_1104", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n\nPerformance:\n Mass: 157.55 kg\n Factor of Safety: 1.23\n Max Deflection: 1.45e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.55016790470424, + "fos_buckling": 1.2311848677243649, + "fos_yielding": 3.727419665669656, + "deflection": 0.014486526748006497, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.188)" + }, + "parent_node_id": "node_1103", + "improvement_over_parent": null + }, + "node_1105": { + "node_id": "node_1105", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n Mass: 204.63 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.6336902733165, + "fos_buckling": 1.5299983698500288, + "fos_yielding": 4.835244965605659, + "deflection": 0.011230235170231903, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.328)" + }, + "parent_node_id": "node_1104", + "improvement_over_parent": null + }, + "node_1106": { + "node_id": "node_1106", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1105", + "improvement_over_parent": null + }, + "node_1107": { + "node_id": "node_1107", + "content": "INITIAL DESIGN (Trace 160)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 194.61 kg\n Factor of Safety: 1.15\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.60935346623103, + "fos_buckling": 1.1548619622770586, + "fos_yielding": 5.162258209849386, + "deflection": 0.011766789795183455, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1108": { + "node_id": "node_1108", + "content": "MODIFICATION: Increase 9 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 194.80 kg\n Factor of Safety: 1.15\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.79592185508642, + "fos_buckling": 1.1547554260056667, + "fos_yielding": 5.162258209849386, + "deflection": 0.01172843048175535, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.218)" + }, + "parent_node_id": "node_1107", + "improvement_over_parent": null + }, + "node_1109": { + "node_id": "node_1109", + "content": "MODIFICATION: Increase 16 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 196.91 kg\n Factor of Safety: 1.15\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.91432782793524, + "fos_buckling": 1.1541509609922627, + "fos_yielding": 5.162258209849386, + "deflection": 0.011864180061586887, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.250)" + }, + "parent_node_id": "node_1108", + "improvement_over_parent": null + }, + "node_1110": { + "node_id": "node_1110", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.6959763401877, + "fos_buckling": 1.5303908210881787, + "fos_yielding": 4.836782051344441, + "deflection": 0.01122652433564855, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004727)" + }, + "parent_node_id": "node_1109", + "improvement_over_parent": null + }, + "node_1111": { + "node_id": "node_1111", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1110", + "improvement_over_parent": null + }, + "node_1112": { + "node_id": "node_1112", + "content": "INITIAL DESIGN (Trace 161)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0021)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0030)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n Mass: 161.67 kg\n Factor of Safety: 0.96\n Max Deflection: 1.35e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 161.6720327957582, + "fos_buckling": 0.964965659895899, + "fos_yielding": 3.985597194781899, + "deflection": 0.013488615494183311, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1113": { + "node_id": "node_1113", + "content": "MODIFICATION: Increase 13 thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0021)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0030)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n Mass: 163.72 kg\n Factor of Safety: 1.03\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.7160314106462, + "fos_buckling": 1.0276280889977096, + "fos_yielding": 4.0124785337192685, + "deflection": 0.013309412568626286, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.266)" + }, + "parent_node_id": "node_1112", + "improvement_over_parent": null + }, + "node_1114": { + "node_id": "node_1114", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 198.97 kg\n Factor of Safety: 1.23\n Max Deflection: 1.10e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.97265023531298, + "fos_buckling": 1.231070800697189, + "fos_yielding": 4.870096352521125, + "deflection": 0.01101665420212978, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.236)" + }, + "parent_node_id": "node_1113", + "improvement_over_parent": null + }, + "node_1115": { + "node_id": "node_1115", + "content": "MODIFICATION: Increase 4 thickness by 60%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 200.86 kg\n Factor of Safety: 1.23\n Max Deflection: 1.09e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.85676607213958, + "fos_buckling": 1.233546442816025, + "fos_yielding": 4.834668386369267, + "deflection": 0.010945485626923745, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.603)" + }, + "parent_node_id": "node_1114", + "improvement_over_parent": null + }, + "node_1116": { + "node_id": "node_1116", + "content": "MODIFICATION: Increase 17 thickness by 56%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.69818203630695, + "fos_buckling": 1.530369517943222, + "fos_yielding": 4.836598851366985, + "deflection": 0.01122743933825903, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.555)" + }, + "parent_node_id": "node_1115", + "improvement_over_parent": null + }, + "node_1117": { + "node_id": "node_1117", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1116", + "improvement_over_parent": null + }, + "node_1118": { + "node_id": "node_1118", + "content": "INITIAL DESIGN (Trace 162)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0026)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0023)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n Mass: 130.42 kg\n Factor of Safety: 0.18\n Max Deflection: 1.70e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 130.42308577746743, + "fos_buckling": 0.18280830450356778, + "fos_yielding": 2.698840979831317, + "deflection": 0.016993549396473347, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1119": { + "node_id": "node_1119", + "content": "MODIFICATION: Increase 13 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0026)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0023)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n Mass: 131.88 kg\n Factor of Safety: 0.18\n Max Deflection: 1.69e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 131.88144278814548, + "fos_buckling": 0.18134030280463911, + "fos_yielding": 2.6988013909220983, + "deflection": 0.016923604152767648, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.212)" + }, + "parent_node_id": "node_1118", + "improvement_over_parent": null + }, + "node_1120": { + "node_id": "node_1120", + "content": "MODIFICATION: Increase 12 thickness by 57%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0026)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n Mass: 133.15 kg\n Factor of Safety: 0.18\n Max Deflection: 1.67e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 133.14891114597881, + "fos_buckling": 0.18134030280463928, + "fos_yielding": 3.376270197354278, + "deflection": 0.016712355319154118, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.572)" + }, + "parent_node_id": "node_1119", + "improvement_over_parent": null + }, + "node_1121": { + "node_id": "node_1121", + "content": "MODIFICATION: Increase 7 thickness by 50%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n Mass: 135.26 kg\n Factor of Safety: 0.18\n Max Deflection: 1.65e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 135.2643558699123, + "fos_buckling": 0.18130832889338294, + "fos_yielding": 3.3762157313641934, + "deflection": 0.01652380444968485, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.499)" + }, + "parent_node_id": "node_1120", + "improvement_over_parent": null + }, + "node_1122": { + "node_id": "node_1122", + "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n\nPerformance:\n Mass: 143.26 kg\n Factor of Safety: 1.13\n Max Deflection: 1.59e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 143.26275524446734, + "fos_buckling": 1.1342225986306256, + "fos_yielding": 3.3908802744319595, + "deflection": 0.015897873457752825, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.003896)" + }, + "parent_node_id": "node_1121", + "improvement_over_parent": null + }, + "node_1123": { + "node_id": "node_1123", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n\nPerformance:\n Mass: 175.74 kg\n Factor of Safety: 1.35\n Max Deflection: 1.30e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.73676596963367, + "fos_buckling": 1.350246236347044, + "fos_yielding": 4.15588105916447, + "deflection": 0.013021876700715222, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.245)" + }, + "parent_node_id": "node_1122", + "improvement_over_parent": null + }, + "node_1124": { + "node_id": "node_1124", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n Mass: 204.69 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.69330582334683, + "fos_buckling": 1.5302651361781607, + "fos_yielding": 4.836895616042579, + "deflection": 0.011227024239476168, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.181)" + }, + "parent_node_id": "node_1123", + "improvement_over_parent": null + }, + "node_1125": { + "node_id": "node_1125", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1124", + "improvement_over_parent": null + }, + "node_1126": { + "node_id": "node_1126", + "content": "INITIAL DESIGN (Trace 163)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n\nPerformance:\n Mass: 147.58 kg\n Factor of Safety: 0.43\n Max Deflection: 2.26e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 147.58404648418912, + "fos_buckling": 0.42892336194365993, + "fos_yielding": 2.9215687707981397, + "deflection": 0.02260203145253481, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1127": { + "node_id": "node_1127", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n Mass: 172.91 kg\n Factor of Safety: 0.49\n Max Deflection: 1.93e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.9068702765678, + "fos_buckling": 0.4883528715703347, + "fos_yielding": 3.4166699940585303, + "deflection": 0.019339198120314136, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.188)" + }, + "parent_node_id": "node_1126", + "improvement_over_parent": null + }, + "node_1128": { + "node_id": "node_1128", + "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 193.76 kg\n Factor of Safety: 1.16\n Max Deflection: 1.23e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.7550817655463, + "fos_buckling": 1.1555516054676112, + "fos_yielding": 5.163555394688253, + "deflection": 0.012327051182941112, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.007737)" + }, + "parent_node_id": "node_1127", + "improvement_over_parent": null + }, + "node_1129": { + "node_id": "node_1129", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n Mass: 194.47 kg\n Factor of Safety: 1.16\n Max Deflection: 1.23e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.47121359201995, + "fos_buckling": 1.1552787983998443, + "fos_yielding": 5.163555394688254, + "deflection": 0.012307008954386354, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)" + }, + "parent_node_id": "node_1128", + "improvement_over_parent": null + }, + "node_1130": { + "node_id": "node_1130", + "content": "MODIFICATION: Increase 2 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n Mass: 197.99 kg\n Factor of Safety: 1.15\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.9920224720987, + "fos_buckling": 1.1542739838415568, + "fos_yielding": 5.1635553946882515, + "deflection": 0.011827475770136148, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.309)" + }, + "parent_node_id": "node_1129", + "improvement_over_parent": null + }, + "node_1131": { + "node_id": "node_1131", + "content": "MODIFICATION: Increase 17 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0078)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n Mass: 200.83 kg\n Factor of Safety: 1.15\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.82948528912704, + "fos_buckling": 1.1540043508469406, + "fos_yielding": 5.163555394688253, + "deflection": 0.011770016206707758, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.230)" + }, + "parent_node_id": "node_1130", + "improvement_over_parent": null + }, + "node_1132": { + "node_id": "node_1132", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0078)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 206.14 kg\n Factor of Safety: 1.51\n Max Deflection: 1.11e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 206.13753076612153, + "fos_buckling": 1.5084154899466398, + "fos_yielding": 4.839881076038496, + "deflection": 0.011130110839832648, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)" + }, + "parent_node_id": "node_1131", + "improvement_over_parent": null + }, + "node_1133": { + "node_id": "node_1133", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1132", + "improvement_over_parent": null + }, + "node_1134": { + "node_id": "node_1134", + "content": "INITIAL DESIGN (Trace 164)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0025)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0030)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0035)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0033)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0020)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0031)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0034)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0027)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0012)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0009)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0025)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0028)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0022)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0025)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0027)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0024)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0030)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0037)]\n\nPerformance:\n Mass: 91.52 kg\n Factor of Safety: 0.37\n Max Deflection: 2.95e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 91.5245004846854, + "fos_buckling": 0.37334578273216806, + "fos_yielding": 2.3663355197332865, + "deflection": 0.02954511827422151, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1135": { + "node_id": "node_1135", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0028)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0034)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0039)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0037)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0022)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0034)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0030)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0022)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0029)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0032)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0025)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0028)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0030)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0026)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0034)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0041)]\n\nPerformance:\n Mass: 101.91 kg\n Factor of Safety: 0.41\n Max Deflection: 2.66e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 101.91454675096898, + "fos_buckling": 0.4114378421730896, + "fos_yielding": 2.634179031023012, + "deflection": 0.02657004254991936, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.119)" + }, + "parent_node_id": "node_1134", + "improvement_over_parent": null + }, + "node_1136": { + "node_id": "node_1136", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n Mass: 129.61 kg\n Factor of Safety: 0.51\n Max Deflection: 2.10e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 129.61157941758304, + "fos_buckling": 0.5087597113388012, + "fos_yielding": 3.3473950788820868, + "deflection": 0.020969793378336703, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.289)" + }, + "parent_node_id": "node_1135", + "improvement_over_parent": null + }, + "node_1137": { + "node_id": "node_1137", + "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n\nPerformance:\n Mass: 136.27 kg\n Factor of Safety: 0.51\n Max Deflection: 1.94e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 136.26529608595078, + "fos_buckling": 0.5084719311309129, + "fos_yielding": 3.3472025676819155, + "deflection": 0.01942848125593605, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.003848)" + }, + "parent_node_id": "node_1136", + "improvement_over_parent": null + }, + "node_1138": { + "node_id": "node_1138", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n\nPerformance:\n Mass: 168.13 kg\n Factor of Safety: 0.61\n Max Deflection: 1.58e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 168.12980013299233, + "fos_buckling": 0.6078459557697938, + "fos_yielding": 4.126264955929483, + "deflection": 0.015812740172986003, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.253)" + }, + "parent_node_id": "node_1137", + "improvement_over_parent": null + }, + "node_1139": { + "node_id": "node_1139", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n Mass: 193.84 kg\n Factor of Safety: 0.68\n Max Deflection: 1.38e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.83857629736988, + "fos_buckling": 0.6827271303738502, + "fos_yielding": 4.753820597167554, + "deflection": 0.0137619720408111, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.168)" + }, + "parent_node_id": "node_1138", + "improvement_over_parent": null + }, + "node_1140": { + "node_id": "node_1140", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M20: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n\nPerformance:\n Mass: 204.85 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.85423317325686, + "fos_buckling": 1.5313124721121028, + "fos_yielding": 4.840734705947383, + "deflection": 0.011218439548586076, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.005624)" + }, + "parent_node_id": "node_1139", + "improvement_over_parent": null + }, + "node_1141": { + "node_id": "node_1141", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1140", + "improvement_over_parent": null + }, + "node_1142": { + "node_id": "node_1142", + "content": "INITIAL DESIGN (Trace 165)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 194.99 kg\n Factor of Safety: 0.91\n Max Deflection: 1.26e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.98663838278372, + "fos_buckling": 0.9127874799606416, + "fos_yielding": 4.82836085481953, + "deflection": 0.01255444935001416, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1143": { + "node_id": "node_1143", + "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n Mass: 198.10 kg\n Factor of Safety: 1.31\n Max Deflection: 1.14e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.10201628250414, + "fos_buckling": 1.305890593381691, + "fos_yielding": 4.755148077587037, + "deflection": 0.011395750731183962, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)" + }, + "parent_node_id": "node_1142", + "improvement_over_parent": null + }, + "node_1144": { + "node_id": "node_1144", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M20: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n\nPerformance:\n Mass: 199.23 kg\n Factor of Safety: 1.33\n Max Deflection: 1.14e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.22866410279076, + "fos_buckling": 1.3257529791504232, + "fos_yielding": 4.800862906518824, + "deflection": 0.0114478483215471, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002506)" + }, + "parent_node_id": "node_1143", + "improvement_over_parent": null + }, + "node_1145": { + "node_id": "node_1145", + "content": "MODIFICATION: Increase 10 thickness by 42%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0076)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M20: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n\nPerformance:\n Mass: 201.12 kg\n Factor of Safety: 1.33\n Max Deflection: 1.14e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.12276612551383, + "fos_buckling": 1.3255634106562684, + "fos_yielding": 4.800973723752763, + "deflection": 0.011379259863623264, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.420)" + }, + "parent_node_id": "node_1144", + "improvement_over_parent": null + }, + "node_1146": { + "node_id": "node_1146", + "content": "MODIFICATION: Increase 15 thickness by 37%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0076)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0079)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M20: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n\nPerformance:\n Mass: 204.84 kg\n Factor of Safety: 1.32\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.84351591216532, + "fos_buckling": 1.3221084913021528, + "fos_yielding": 4.801980517698624, + "deflection": 0.011554366508971818, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.372)" + }, + "parent_node_id": "node_1145", + "improvement_over_parent": null + }, + "node_1147": { + "node_id": "node_1147", + "content": "MODIFICATION: Increase 13 thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0076)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0050)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0079)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M20: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n\nPerformance:\n Mass: 206.96 kg\n Factor of Safety: 1.33\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.955202149812, + "fos_buckling": 1.3280233179877063, + "fos_yielding": 4.797558293209014, + "deflection": 0.011511094402679537, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.325)" + }, + "parent_node_id": "node_1146", + "improvement_over_parent": null + }, + "node_1148": { + "node_id": "node_1148", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1147", + "improvement_over_parent": null + }, + "node_1149": { + "node_id": "node_1149", + "content": "INITIAL DESIGN (Trace 166)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n\nPerformance:\n Mass: 150.44 kg\n Factor of Safety: 0.43\n Max Deflection: 2.19e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 150.43714401860018, + "fos_buckling": 0.4302135477555531, + "fos_yielding": 2.9330419955020415, + "deflection": 0.021890794234895348, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1150": { + "node_id": "node_1150", + "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n\nPerformance:\n Mass: 168.32 kg\n Factor of Safety: 1.02\n Max Deflection: 1.38e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 168.3229204460934, + "fos_buckling": 1.0220816409278262, + "fos_yielding": 4.429254692903324, + "deflection": 0.01382813596934862, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.006546)" + }, + "parent_node_id": "node_1149", + "improvement_over_parent": null + }, + "node_1151": { + "node_id": "node_1151", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 196.21 kg\n Factor of Safety: 1.15\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.21103642141856, + "fos_buckling": 1.154452598664329, + "fos_yielding": 5.162435774415835, + "deflection": 0.011913614139455339, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.182)" + }, + "parent_node_id": "node_1150", + "improvement_over_parent": null + }, + "node_1152": { + "node_id": "node_1152", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n Mass: 196.93 kg\n Factor of Safety: 1.15\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.9271682478922, + "fos_buckling": 1.154180216582147, + "fos_yielding": 5.162435774415835, + "deflection": 0.011864016037388007, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)" + }, + "parent_node_id": "node_1151", + "improvement_over_parent": null + }, + "node_1153": { + "node_id": "node_1153", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n Mass: 204.71 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70881676014469, + "fos_buckling": 1.530504288580391, + "fos_yielding": 4.836952431316094, + "deflection": 0.011226382700033665, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004727)" + }, + "parent_node_id": "node_1152", + "improvement_over_parent": null + }, + "node_1154": { + "node_id": "node_1154", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1153", + "improvement_over_parent": null + }, + "node_1155": { + "node_id": "node_1155", + "content": "INITIAL DESIGN (Trace 167)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0049)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0046)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0043)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0040)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0042)]\n\nPerformance:\n Mass: 138.06 kg\n Factor of Safety: 0.97\n Max Deflection: 1.65e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 138.06212536183415, + "fos_buckling": 0.9729375956271488, + "fos_yielding": 3.3296282100114203, + "deflection": 0.016481313531043314, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1156": { + "node_id": "node_1156", + "content": "MODIFICATION: Increase 20 thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0049)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0046)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0043)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0040)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0052)]\n\nPerformance:\n Mass: 140.67 kg\n Factor of Safety: 1.12\n Max Deflection: 1.62e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 140.66760508611003, + "fos_buckling": 1.116467072665104, + "fos_yielding": 3.329439050767688, + "deflection": 0.016185305172489214, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(20, thickness, 1.236)" + }, + "parent_node_id": "node_1155", + "improvement_over_parent": null + }, + "node_1157": { + "node_id": "node_1157", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n\nPerformance:\n Mass: 174.91 kg\n Factor of Safety: 1.35\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.91319820593117, + "fos_buckling": 1.3451352080593275, + "fos_yielding": 4.136193376218931, + "deflection": 0.013081851438570886, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.263)" + }, + "parent_node_id": "node_1156", + "improvement_over_parent": null + }, + "node_1158": { + "node_id": "node_1158", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.85 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.8473513852119, + "fos_buckling": 1.531392982302328, + "fos_yielding": 4.840167483384037, + "deflection": 0.011219029662849933, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.188)" + }, + "parent_node_id": "node_1157", + "improvement_over_parent": null + }, + "node_1159": { + "node_id": "node_1159", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1158", + "improvement_over_parent": null + }, + "node_1160": { + "node_id": "node_1160", + "content": "INITIAL DESIGN (Trace 168)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0030)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0041)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0039)]\n M4: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0032)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0012)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0007)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0023)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0030)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0029)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0032)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0043)]\n\nPerformance:\n Mass: 108.98 kg\n Factor of Safety: 0.21\n Max Deflection: 5.50e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 108.98399760052419, + "fos_buckling": 0.21460672293367808, + "fos_yielding": 0.9001090333273539, + "deflection": 0.05498288239981209, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1161": { + "node_id": "node_1161", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0052)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0049)]\n M4: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0040)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0009)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0055)]\n\nPerformance:\n Mass: 135.37 kg\n Factor of Safety: 0.26\n Max Deflection: 4.44e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 135.36672442220143, + "fos_buckling": 0.25914484331900356, + "fos_yielding": 1.1166516130441337, + "deflection": 0.04442275799175493, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.258)" + }, + "parent_node_id": "node_1160", + "improvement_over_parent": null + }, + "node_1162": { + "node_id": "node_1162", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n M4: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n\nPerformance:\n Mass: 163.12 kg\n Factor of Safety: 0.30\n Max Deflection: 3.70e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.12293595935617, + "fos_buckling": 0.30296236826480594, + "fos_yielding": 1.3441661441361745, + "deflection": 0.036998020033931836, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.222)" + }, + "parent_node_id": "node_1161", + "improvement_over_parent": null + }, + "node_1163": { + "node_id": "node_1163", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n M4: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n\nPerformance:\n Mass: 174.05 kg\n Factor of Safety: 1.04\n Max Deflection: 1.35e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.0487694520129, + "fos_buckling": 1.037735261892436, + "fos_yielding": 4.515643870219305, + "deflection": 0.013537292491064352, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.005590)" + }, + "parent_node_id": "node_1162", + "improvement_over_parent": null + }, + "node_1164": { + "node_id": "node_1164", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n M4: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n\nPerformance:\n Mass: 178.69 kg\n Factor of Safety: 1.37\n Max Deflection: 1.28e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.6922265023216, + "fos_buckling": 1.3714588419452802, + "fos_yielding": 4.231606096894345, + "deflection": 0.01280484132676352, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003644)" + }, + "parent_node_id": "node_1163", + "improvement_over_parent": null + }, + "node_1165": { + "node_id": "node_1165", + "content": "MODIFICATION: Increase 9 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n M4: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0044)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n\nPerformance:\n Mass: 179.22 kg\n Factor of Safety: 1.38\n Max Deflection: 1.28e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.21560541562113, + "fos_buckling": 1.3821153937082487, + "fos_yielding": 4.2310974190108945, + "deflection": 0.012794857192002233, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.212)" + }, + "parent_node_id": "node_1164", + "improvement_over_parent": null + }, + "node_1166": { + "node_id": "node_1166", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0050)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 204.82 kg\n Factor of Safety: 1.54\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.82001230764922, + "fos_buckling": 1.54160727865249, + "fos_yielding": 4.8324694602514215, + "deflection": 0.011236745894281076, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.157)" + }, + "parent_node_id": "node_1165", + "improvement_over_parent": null + }, + "node_1167": { + "node_id": "node_1167", + "content": "MODIFICATION: Increase 10 thickness by 58%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0050)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0085)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 207.41 kg\n Factor of Safety: 1.56\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 207.41239240725577, + "fos_buckling": 1.5552693889175424, + "fos_yielding": 4.832635838758699, + "deflection": 0.011150446322080787, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.585)" + }, + "parent_node_id": "node_1166", + "improvement_over_parent": null + }, + "node_1168": { + "node_id": "node_1168", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1167", + "improvement_over_parent": null + }, + "node_1169": { + "node_id": "node_1169", + "content": "INITIAL DESIGN (Trace 169)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0021)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0029)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0027)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0016)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0028)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0022)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0022)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0010)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0008)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0016)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0021)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0023)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0018)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0020)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0022)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0022)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0019)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0025)]\n\nPerformance:\n Mass: 70.44 kg\n Factor of Safety: 0.16\n Max Deflection: 8.03e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 70.44484810025685, + "fos_buckling": 0.15620224025029708, + "fos_yielding": 0.7905071507617143, + "deflection": 0.08034696485207529, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1170": { + "node_id": "node_1170", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0021)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0029)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0027)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0016)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0028)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0022)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0022)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0010)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0008)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0016)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0021)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0023)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0018)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0020)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0022)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0022)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0019)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0025)]\n M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0025)]\n\nPerformance:\n Mass: 75.58 kg\n Factor of Safety: 0.22\n Max Deflection: 4.45e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 75.57823772628801, + "fos_buckling": 0.22387479358345555, + "fos_yielding": 1.4117256495437078, + "deflection": 0.044475364560570455, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.002519)" + }, + "parent_node_id": "node_1169", + "improvement_over_parent": null + }, + "node_1171": { + "node_id": "node_1171", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0026)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0031)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0036)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0034)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0020)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0035)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0027)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0028)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0012)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0026)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0029)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0023)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0025)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0027)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0028)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0024)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0031)]\n M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0031)]\n\nPerformance:\n Mass: 93.47 kg\n Factor of Safety: 0.27\n Max Deflection: 3.60e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 93.46520102459077, + "fos_buckling": 0.27204393668264537, + "fos_yielding": 1.744082521100998, + "deflection": 0.03602544245627424, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.247)" + }, + "parent_node_id": "node_1170", + "improvement_over_parent": null + }, + "node_1172": { + "node_id": "node_1172", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0031)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0042)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0039)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0033)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0031)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0030)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0033)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0037)]\n\nPerformance:\n Mass: 109.10 kg\n Factor of Safety: 0.31\n Max Deflection: 3.09e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 109.09912657542108, + "fos_buckling": 0.3126506829902943, + "fos_yielding": 2.034029442676921, + "deflection": 0.030909099876964864, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.176)" + }, + "parent_node_id": "node_1171", + "improvement_over_parent": null + }, + "node_1173": { + "node_id": "node_1173", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0049)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0046)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0040)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0043)]\n\nPerformance:\n Mass: 126.77 kg\n Factor of Safety: 0.36\n Max Deflection: 2.66e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 126.76513465216028, + "fos_buckling": 0.3568646976540371, + "fos_yielding": 2.3610518431063037, + "deflection": 0.026646445474757113, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.172)" + }, + "parent_node_id": "node_1172", + "improvement_over_parent": null + }, + "node_1174": { + "node_id": "node_1174", + "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0049)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0046)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0040)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0043)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0052)]\n\nPerformance:\n Mass: 141.15 kg\n Factor of Safety: 1.12\n Max Deflection: 1.61e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 141.15043228450259, + "fos_buckling": 1.1202482383132037, + "fos_yielding": 3.340613728392231, + "deflection": 0.016131254631934655, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.005183)" + }, + "parent_node_id": "node_1173", + "improvement_over_parent": null + }, + "node_1175": { + "node_id": "node_1175", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n Mass: 181.39 kg\n Factor of Safety: 1.39\n Max Deflection: 1.26e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.39279662259628, + "fos_buckling": 1.3870334735370466, + "fos_yielding": 4.288408691919424, + "deflection": 0.012626614233814398, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.309)" + }, + "parent_node_id": "node_1174", + "improvement_over_parent": null + }, + "node_1176": { + "node_id": "node_1176", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.51 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.50720585870593, + "fos_buckling": 1.5298800823641365, + "fos_yielding": 4.831881073562741, + "deflection": 0.011237249063786921, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.140)" + }, + "parent_node_id": "node_1175", + "improvement_over_parent": null + }, + "node_1177": { + "node_id": "node_1177", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1176", + "improvement_over_parent": null + }, + "node_1178": { + "node_id": "node_1178", + "content": "INITIAL DESIGN (Trace 170)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n Mass: 179.83 kg\n Factor of Safety: 1.27\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.82797894854778, + "fos_buckling": 1.2656661049186597, + "fos_yielding": 4.331664041235674, + "deflection": 0.012439262394309623, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1179": { + "node_id": "node_1179", + "content": "MODIFICATION: Increase 17 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n Mass: 181.64 kg\n Factor of Safety: 1.35\n Max Deflection: 1.26e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.6437225652105, + "fos_buckling": 1.3532935326654183, + "fos_yielding": 4.332586137362429, + "deflection": 0.01259003261006642, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.235)" + }, + "parent_node_id": "node_1178", + "improvement_over_parent": null + }, + "node_1180": { + "node_id": "node_1180", + "content": "MODIFICATION: Increase 10 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n Mass: 181.81 kg\n Factor of Safety: 1.35\n Max Deflection: 1.26e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.81179016187704, + "fos_buckling": 1.3510381779432403, + "fos_yielding": 4.332158661132944, + "deflection": 0.01257482540795511, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.387)" + }, + "parent_node_id": "node_1179", + "improvement_over_parent": null + }, + "node_1181": { + "node_id": "node_1181", + "content": "MODIFICATION: Increase 4 thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n Mass: 182.67 kg\n Factor of Safety: 1.39\n Max Deflection: 1.25e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.66657302277105, + "fos_buckling": 1.3944890796575642, + "fos_yielding": 4.31875139422083, + "deflection": 0.01254080342482224, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.239)" + }, + "parent_node_id": "node_1180", + "improvement_over_parent": null + }, + "node_1182": { + "node_id": "node_1182", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.77 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.7749999156256, + "fos_buckling": 1.53084830441081, + "fos_yielding": 4.8385895580114235, + "deflection": 0.011222909454661019, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.133)" + }, + "parent_node_id": "node_1181", + "improvement_over_parent": null + }, + "node_1183": { + "node_id": "node_1183", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1182", + "improvement_over_parent": null + }, + "node_1184": { + "node_id": "node_1184", + "content": "INITIAL DESIGN (Trace 171)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n Mass: 142.49 kg\n Factor of Safety: 0.67\n Max Deflection: 1.75e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 142.4944486553095, + "fos_buckling": 0.667211197203354, + "fos_yielding": 3.4360455389724494, + "deflection": 0.01745685303038709, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1185": { + "node_id": "node_1185", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n\nPerformance:\n Mass: 163.82 kg\n Factor of Safety: 0.75\n Max Deflection: 1.52e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.81776192725846, + "fos_buckling": 0.7538528228187965, + "fos_yielding": 3.9479380308437872, + "deflection": 0.0152127104048504, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.161)" + }, + "parent_node_id": "node_1184", + "improvement_over_parent": null + }, + "node_1186": { + "node_id": "node_1186", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 201.42 kg\n Factor of Safety: 0.90\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.417968710244, + "fos_buckling": 0.8981848163203915, + "fos_yielding": 4.849134185898203, + "deflection": 0.01241317648246989, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.252)" + }, + "parent_node_id": "node_1185", + "improvement_over_parent": null + }, + "node_1187": { + "node_id": "node_1187", + "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n Mass: 204.53 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.5333466099644, + "fos_buckling": 1.5294364877562505, + "fos_yielding": 4.832787330151932, + "deflection": 0.011235840851743863, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)" + }, + "parent_node_id": "node_1186", + "improvement_over_parent": null + }, + "node_1188": { + "node_id": "node_1188", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1187", + "improvement_over_parent": null + }, + "node_1189": { + "node_id": "node_1189", + "content": "INITIAL DESIGN (Trace 172)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0031)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0052)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0049)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0046)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0040)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0032)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0043)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0055)]\n\nPerformance:\n Mass: 135.64 kg\n Factor of Safety: 0.84\n Max Deflection: 1.77e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 135.6387039676358, + "fos_buckling": 0.8392827428702266, + "fos_yielding": 2.8739822607813554, + "deflection": 0.017739414599232305, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1190": { + "node_id": "node_1190", + "content": "MODIFICATION: Increase 8 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0031)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0052)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0049)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0046)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0040)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0043)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0055)]\n\nPerformance:\n Mass: 136.45 kg\n Factor of Safety: 0.84\n Max Deflection: 1.76e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 136.4520105167794, + "fos_buckling": 0.8392827428702264, + "fos_yielding": 3.532666085851128, + "deflection": 0.017636497643651917, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.253)" + }, + "parent_node_id": "node_1189", + "improvement_over_parent": null + }, + "node_1191": { + "node_id": "node_1191", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0066)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0054)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n\nPerformance:\n Mass: 169.28 kg\n Factor of Safety: 1.01\n Max Deflection: 1.43e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.28472410645531, + "fos_buckling": 1.006813728799189, + "fos_yielding": 4.377517888982686, + "deflection": 0.014278387457910012, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.261)" + }, + "parent_node_id": "node_1190", + "improvement_over_parent": null + }, + "node_1192": { + "node_id": "node_1192", + "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0066)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0054)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n\nPerformance:\n Mass: 181.82 kg\n Factor of Safety: 1.40\n Max Deflection: 1.29e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.82415211833995, + "fos_buckling": 1.3982961955256326, + "fos_yielding": 4.37868278798819, + "deflection": 0.012904146212440052, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.005648)" + }, + "parent_node_id": "node_1191", + "improvement_over_parent": null + }, + "node_1193": { + "node_id": "node_1193", + "content": "MODIFICATION: Increase 1 thickness by 42%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0066)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0054)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n\nPerformance:\n Mass: 184.83 kg\n Factor of Safety: 1.41\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.83373067364397, + "fos_buckling": 1.4081775374865966, + "fos_yielding": 4.36999326160417, + "deflection": 0.012397801737217514, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.422)" + }, + "parent_node_id": "node_1192", + "improvement_over_parent": null + }, + "node_1194": { + "node_id": "node_1194", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n Mass: 204.51 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.513976037023, + "fos_buckling": 1.5292971207585944, + "fos_yielding": 4.832737510026394, + "deflection": 0.011236915311604699, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.117)" + }, + "parent_node_id": "node_1193", + "improvement_over_parent": null + }, + "node_1195": { + "node_id": "node_1195", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1194", + "improvement_over_parent": null + }, + "node_1196": { + "node_id": "node_1196", + "content": "INITIAL DESIGN (Trace 173)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0023)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0027)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0032)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0030)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0018)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0022)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0024)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0025)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0011)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0009)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0018)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0023)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0026)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0021)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0023)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0024)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0025)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0022)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0027)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0034)]\n\nPerformance:\n Mass: 85.41 kg\n Factor of Safety: 0.14\n Max Deflection: 7.45e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 85.40643751445766, + "fos_buckling": 0.14084682828736123, + "fos_yielding": 0.6255480062500784, + "deflection": 0.07449884545742051, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1197": { + "node_id": "node_1197", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0030)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0041)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0039)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0029)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0032)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0030)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0030)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0032)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0044)]\n\nPerformance:\n Mass: 109.79 kg\n Factor of Safety: 0.18\n Max Deflection: 5.81e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 109.79160877597931, + "fos_buckling": 0.17649854794906558, + "fos_yielding": 0.8019453873446653, + "deflection": 0.05812748920695108, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.300)" + }, + "parent_node_id": "node_1196", + "improvement_over_parent": null + }, + "node_1198": { + "node_id": "node_1198", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0052)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0049)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0036)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0040)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0043)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0055)]\n\nPerformance:\n Mass: 136.68 kg\n Factor of Safety: 0.21\n Max Deflection: 4.68e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 136.68336269559617, + "fos_buckling": 0.21351545948395598, + "fos_yielding": 0.9953658351751398, + "deflection": 0.04684606754268251, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.261)" + }, + "parent_node_id": "node_1197", + "improvement_over_parent": null + }, + "node_1199": { + "node_id": "node_1199", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0043)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n\nPerformance:\n Mass: 158.48 kg\n Factor of Safety: 0.24\n Max Deflection: 4.05e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 158.475017385318, + "fos_buckling": 0.24176322159639554, + "fos_yielding": 1.1512624983663005, + "deflection": 0.040512372272070864, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.172)" + }, + "parent_node_id": "node_1198", + "improvement_over_parent": null + }, + "node_1200": { + "node_id": "node_1200", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 186.79 kg\n Factor of Safety: 0.28\n Max Deflection: 3.45e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 186.79214564795024, + "fos_buckling": 0.276159068024551, + "fos_yielding": 1.3527351290511491, + "deflection": 0.034489671576975904, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.196)" + }, + "parent_node_id": "node_1199", + "improvement_over_parent": null + }, + "node_1201": { + "node_id": "node_1201", + "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 201.98 kg\n Factor of Safety: 1.34\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.97669966285164, + "fos_buckling": 1.3434417925925124, + "fos_yielding": 4.8230805941866235, + "deflection": 0.011652652282976312, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)" + }, + "parent_node_id": "node_1200", + "improvement_over_parent": null + }, + "node_1202": { + "node_id": "node_1202", + "content": "MODIFICATION: Increase 5 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 204.39 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.38691629337868, + "fos_buckling": 1.5283083033580993, + "fos_yielding": 4.828741788326026, + "deflection": 0.011241036317492152, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.263)" + }, + "parent_node_id": "node_1201", + "improvement_over_parent": null + }, + "node_1203": { + "node_id": "node_1203", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1202", + "improvement_over_parent": null + }, + "node_1204": { + "node_id": "node_1204", + "content": "INITIAL DESIGN (Trace 174)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n Mass: 144.24 kg\n Factor of Safety: 0.24\n Max Deflection: 7.60e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 144.24315148643964, + "fos_buckling": 0.23738191032140296, + "fos_yielding": 0.5413910316026456, + "deflection": 0.07601703426069539, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1205": { + "node_id": "node_1205", + "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n\nPerformance:\n Mass: 156.79 kg\n Factor of Safety: 0.29\n Max Deflection: 3.40e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 156.79138501330166, + "fos_buckling": 0.28896815185551283, + "fos_yielding": 1.727329907251584, + "deflection": 0.033955868847881474, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.005795)" + }, + "parent_node_id": "node_1204", + "improvement_over_parent": null + }, + "node_1206": { + "node_id": "node_1206", + "content": "MODIFICATION: Increase 18 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0078)]\n M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n\nPerformance:\n Mass: 160.48 kg\n Factor of Safety: 0.29\n Max Deflection: 3.37e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 160.47688327381238, + "fos_buckling": 0.28887868721591087, + "fos_yielding": 1.7325653763081457, + "deflection": 0.03372444483967014, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(18, thickness, 1.235)" + }, + "parent_node_id": "node_1205", + "improvement_over_parent": null + }, + "node_1207": { + "node_id": "node_1207", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0078)]\n M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n\nPerformance:\n Mass: 170.80 kg\n Factor of Safety: 1.35\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.79754129646574, + "fos_buckling": 1.3464270089172803, + "fos_yielding": 4.000663395381727, + "deflection": 0.01337448567716563, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.005256)" + }, + "parent_node_id": "node_1206", + "improvement_over_parent": null + }, + "node_1208": { + "node_id": "node_1208", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0095)]\n M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n Mass: 206.50 kg\n Factor of Safety: 1.57\n Max Deflection: 1.11e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 206.50029233099156, + "fos_buckling": 1.5713168100935475, + "fos_yielding": 4.834016933047693, + "deflection": 0.011119042621965742, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.230)" + }, + "parent_node_id": "node_1207", + "improvement_over_parent": null + }, + "node_1209": { + "node_id": "node_1209", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1208", + "improvement_over_parent": null + }, + "node_1210": { + "node_id": "node_1210", + "content": "INITIAL DESIGN (Trace 175)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0049)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0046)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0043)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0052)]\n\nPerformance:\n Mass: 124.52 kg\n Factor of Safety: 0.33\n Max Deflection: 2.33e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 124.52059930354552, + "fos_buckling": 0.3309358567686074, + "fos_yielding": 2.8563123066994014, + "deflection": 0.02329613684004637, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1211": { + "node_id": "node_1211", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0049)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0046)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0043)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0052)]\n M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n\nPerformance:\n Mass: 132.10 kg\n Factor of Safety: 0.33\n Max Deflection: 2.08e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 132.10147594922097, + "fos_buckling": 0.3298874134685809, + "fos_yielding": 2.854534421823722, + "deflection": 0.020761550602544056, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.003757)" + }, + "parent_node_id": "node_1210", + "improvement_over_parent": null + }, + "node_1212": { + "node_id": "node_1212", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n\nPerformance:\n Mass: 161.01 kg\n Factor of Safety: 0.39\n Max Deflection: 1.71e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 161.0079152235012, + "fos_buckling": 0.38920083100124436, + "fos_yielding": 3.474027127172207, + "deflection": 0.017111394553468634, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.236)" + }, + "parent_node_id": "node_1211", + "improvement_over_parent": null + }, + "node_1213": { + "node_id": "node_1213", + "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n\nPerformance:\n Mass: 171.53 kg\n Factor of Safety: 1.32\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.52697916061078, + "fos_buckling": 1.324465198369679, + "fos_yielding": 4.0571399814600015, + "deflection": 0.013315896717737611, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.004955)" + }, + "parent_node_id": "node_1212", + "improvement_over_parent": null + }, + "node_1214": { + "node_id": "node_1214", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 204.48 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.4833958832787, + "fos_buckling": 1.5305188198094535, + "fos_yielding": 4.832381251652121, + "deflection": 0.011223759622683554, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.211)" + }, + "parent_node_id": "node_1213", + "improvement_over_parent": null + }, + "node_1215": { + "node_id": "node_1215", + "content": "MODIFICATION: Increase 9 thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 204.71 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.7064828709003, + "fos_buckling": 1.5304290778191292, + "fos_yielding": 4.836935724419562, + "deflection": 0.01122652438009008, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.271)" + }, + "parent_node_id": "node_1214", + "improvement_over_parent": null + }, + "node_1216": { + "node_id": "node_1216", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1215", + "improvement_over_parent": null + }, + "node_1217": { + "node_id": "node_1217", + "content": "INITIAL DESIGN (Trace 176)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0031)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0042)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0039)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0037)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0033)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0031)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0024)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0030)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0033)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0044)]\n\nPerformance:\n Mass: 116.14 kg\n Factor of Safety: 0.55\n Max Deflection: 2.05e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 116.13827030117324, + "fos_buckling": 0.5539918883062318, + "fos_yielding": 3.061347395032356, + "deflection": 0.020543626983276848, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1218": { + "node_id": "node_1218", + "content": "MODIFICATION: Increase 12 thickness by 41%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0031)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0042)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0039)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0037)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0033)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0031)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0030)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0033)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0044)]\n\nPerformance:\n Mass: 118.22 kg\n Factor of Safety: 0.75\n Max Deflection: 1.98e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 118.21646365590615, + "fos_buckling": 0.7476758726020872, + "fos_yielding": 3.061347395032356, + "deflection": 0.019763682540571714, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.408)" + }, + "parent_node_id": "node_1217", + "improvement_over_parent": null + }, + "node_1219": { + "node_id": "node_1219", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0031)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0042)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0039)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0037)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0033)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0031)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0030)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0033)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0044)]\n M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n\nPerformance:\n Mass: 121.36 kg\n Factor of Safety: 0.98\n Max Deflection: 1.87e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 121.36319808463107, + "fos_buckling": 0.9800935023867019, + "fos_yielding": 2.8740486556743883, + "deflection": 0.01870663189748676, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.002406)" + }, + "parent_node_id": "node_1218", + "improvement_over_parent": null + }, + "node_1220": { + "node_id": "node_1220", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0049)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0046)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0040)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0052)]\n M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n\nPerformance:\n Mass: 142.03 kg\n Factor of Safety: 1.13\n Max Deflection: 1.60e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 142.03475813606497, + "fos_buckling": 1.1258096900959775, + "fos_yielding": 3.361714641271393, + "deflection": 0.016032711979103803, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.181)" + }, + "parent_node_id": "node_1219", + "improvement_over_parent": null + }, + "node_1221": { + "node_id": "node_1221", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n\nPerformance:\n Mass: 171.92 kg\n Factor of Safety: 1.33\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.92283787086131, + "fos_buckling": 1.3257137507611674, + "fos_yielding": 4.0658534331505995, + "deflection": 0.013303567060288853, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.227)" + }, + "parent_node_id": "node_1220", + "improvement_over_parent": null + }, + "node_1222": { + "node_id": "node_1222", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 204.64 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.63984582050202, + "fos_buckling": 1.5300181875396224, + "fos_yielding": 4.835347177621898, + "deflection": 0.011230054831987123, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.209)" + }, + "parent_node_id": "node_1221", + "improvement_over_parent": null + }, + "node_1223": { + "node_id": "node_1223", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1222", + "improvement_over_parent": null + }, + "node_1224": { + "node_id": "node_1224", + "content": "INITIAL DESIGN (Trace 177)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0044)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n M13: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n M14: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M15: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n\nPerformance:\n Mass: 122.76 kg\n Factor of Safety: 0.52\n Max Deflection: 2.33e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 122.76180329804042, + "fos_buckling": 0.5240064699139858, + "fos_yielding": 2.596938861601691, + "deflection": 23300522360860.152, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1225": { + "node_id": "node_1225", + "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (17 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0044)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n M13: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n M14: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M15: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n M16: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n\nPerformance:\n Mass: 130.08 kg\n Factor of Safety: 0.28\n Max Deflection: 2.29e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 130.0846332096851, + "fos_buckling": 0.2755665517774677, + "fos_yielding": 1.9721688255087158, + "deflection": 22935586218559.547, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.003934)" + }, + "parent_node_id": "node_1224", + "improvement_over_parent": null + }, + "node_1226": { + "node_id": "node_1226", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0044)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n M13: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n M14: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M15: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n M16: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M17: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n\nPerformance:\n Mass: 134.17 kg\n Factor of Safety: 0.16\n Max Deflection: 2.38e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 134.16966279983455, + "fos_buckling": 0.1596798754447315, + "fos_yielding": 1.4583365635369276, + "deflection": 23812050780341.91, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003174)" + }, + "parent_node_id": "node_1225", + "improvement_over_parent": null + }, + "node_1227": { + "node_id": "node_1227", + "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0044)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n M13: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n M14: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M15: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n M16: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M17: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M18: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n\nPerformance:\n Mass: 145.86 kg\n Factor of Safety: 0.56\n Max Deflection: 1.61e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 145.8554901428338, + "fos_buckling": 0.5556756917178154, + "fos_yielding": 3.6611871674615943, + "deflection": 0.016127968969129953, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.005368)" + }, + "parent_node_id": "node_1226", + "improvement_over_parent": null + }, + "node_1228": { + "node_id": "node_1228", + "content": "MODIFICATION: Increase 2 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n M13: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n M14: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M15: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n M16: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M17: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M18: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n\nPerformance:\n Mass: 148.19 kg\n Factor of Safety: 0.56\n Max Deflection: 1.58e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 148.1883891153528, + "fos_buckling": 0.5557870854538045, + "fos_yielding": 3.661055617547224, + "deflection": 0.01582581282403691, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.250)" + }, + "parent_node_id": "node_1227", + "improvement_over_parent": null + }, + "node_1229": { + "node_id": "node_1229", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n M13: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n M14: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M15: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n M16: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M17: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M18: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n\nPerformance:\n Mass: 148.74 kg\n Factor of Safety: 0.20\n Max Deflection: 1.50e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 148.73923735616853, + "fos_buckling": 0.19702510080817212, + "fos_yielding": 3.7109935080231597, + "deflection": 0.0150454114471588, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001503)" + }, + "parent_node_id": "node_1228", + "improvement_over_parent": null + }, + "node_1230": { + "node_id": "node_1230", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M13: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M14: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M15: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M16: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M17: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M18: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n Mass: 193.19 kg\n Factor of Safety: 0.25\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.19015977414477, + "fos_buckling": 0.24608868937316877, + "fos_yielding": 4.81429145451697, + "deflection": 0.011629205595802536, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.328)" + }, + "parent_node_id": "node_1229", + "improvement_over_parent": null + }, + "node_1231": { + "node_id": "node_1231", + "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M13: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M14: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M15: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M16: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M17: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M18: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n Mass: 204.62 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.6173599401844, + "fos_buckling": 1.5298794852828115, + "fos_yielding": 4.834764625870985, + "deflection": 0.011231826317483947, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.005728)" + }, + "parent_node_id": "node_1230", + "improvement_over_parent": null + }, + "node_1232": { + "node_id": "node_1232", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1231", + "improvement_over_parent": null + }, + "node_1233": { + "node_id": "node_1233", + "content": "INITIAL DESIGN (Trace 178)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n Mass: 155.02 kg\n Factor of Safety: 0.35\n Max Deflection: 1.59e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 155.01575508117205, + "fos_buckling": 0.35267631829444845, + "fos_yielding": 3.907647759795514, + "deflection": 0.015857601047978478, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1234": { + "node_id": "node_1234", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 195.12 kg\n Factor of Safety: 0.43\n Max Deflection: 1.27e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.11742055681978, + "fos_buckling": 0.42603128103988724, + "fos_yielding": 4.913366283618497, + "deflection": 0.012668731152351006, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.284)" + }, + "parent_node_id": "node_1233", + "improvement_over_parent": null + }, + "node_1235": { + "node_id": "node_1235", + "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n Mass: 204.63 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.63307837382013, + "fos_buckling": 1.5313752306592805, + "fos_yielding": 4.836074022672714, + "deflection": 0.011216440405844437, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.005227)" + }, + "parent_node_id": "node_1234", + "improvement_over_parent": null + }, + "node_1236": { + "node_id": "node_1236", + "content": "MODIFICATION: Increase 9 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n Mass: 204.84 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.84206241769274, + "fos_buckling": 1.5312918840741123, + "fos_yielding": 4.840296300207098, + "deflection": 0.011219006454804384, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.250)" + }, + "parent_node_id": "node_1235", + "improvement_over_parent": null + }, + "node_1237": { + "node_id": "node_1237", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1236", + "improvement_over_parent": null + }, + "node_1238": { + "node_id": "node_1238", + "content": "INITIAL DESIGN (Trace 179)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0027)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0031)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0039)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0034)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0036)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0029)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0032)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0035)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0047)]\n\nPerformance:\n Mass: 116.47 kg\n Factor of Safety: 0.68\n Max Deflection: 2.05e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 116.46535267694759, + "fos_buckling": 0.6758629877985056, + "fos_yielding": 2.789143651556021, + "deflection": 0.02045430859864556, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1239": { + "node_id": "node_1239", + "content": "MODIFICATION: Increase 2 thickness by 64%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0044)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0031)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0039)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0034)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0036)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0029)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0032)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0035)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0047)]\n\nPerformance:\n Mass: 120.25 kg\n Factor of Safety: 0.68\n Max Deflection: 1.84e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 120.24503642800839, + "fos_buckling": 0.6760848642574079, + "fos_yielding": 3.076883517443492, + "deflection": 0.018444355847832158, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.637)" + }, + "parent_node_id": "node_1238", + "improvement_over_parent": null + }, + "node_1240": { + "node_id": "node_1240", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0054)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0037)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0047)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0041)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0039)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0042)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0057)]\n\nPerformance:\n Mass: 143.68 kg\n Factor of Safety: 0.79\n Max Deflection: 1.55e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 143.67579775638978, + "fos_buckling": 0.7923245823913073, + "fos_yielding": 3.67336430331686, + "deflection": 0.015486061603267461, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.208)" + }, + "parent_node_id": "node_1239", + "improvement_over_parent": null + }, + "node_1241": { + "node_id": "node_1241", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0054)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0037)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0047)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0041)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0039)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0042)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0057)]\n M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n\nPerformance:\n Mass: 144.21 kg\n Factor of Safety: 0.79\n Max Deflection: 1.49e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 144.21156724910404, + "fos_buckling": 0.792472330384617, + "fos_yielding": 3.6357226873308988, + "deflection": 0.01486629408839043, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001459)" + }, + "parent_node_id": "node_1240", + "improvement_over_parent": null + }, + "node_1242": { + "node_id": "node_1242", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n\nPerformance:\n Mass: 168.48 kg\n Factor of Safety: 0.91\n Max Deflection: 1.28e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 168.4763337706884, + "fos_buckling": 0.9070981344030752, + "fos_yielding": 4.243860362653121, + "deflection": 0.012752847914593213, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.182)" + }, + "parent_node_id": "node_1241", + "improvement_over_parent": null + }, + "node_1243": { + "node_id": "node_1243", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n Mass: 192.59 kg\n Factor of Safety: 1.02\n Max Deflection: 1.12e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.58922052326307, + "fos_buckling": 1.0156012463245632, + "fos_yielding": 4.847126434232313, + "deflection": 0.011180081430660712, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.157)" + }, + "parent_node_id": "node_1242", + "improvement_over_parent": null + }, + "node_1244": { + "node_id": "node_1244", + "content": "MODIFICATION: Increase 3 thickness by 35%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n Mass: 195.99 kg\n Factor of Safety: 1.02\n Max Deflection: 1.08e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.99233720671327, + "fos_buckling": 1.015299580921896, + "fos_yielding": 4.847009965141318, + "deflection": 0.010828339725986276, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.346)" + }, + "parent_node_id": "node_1243", + "improvement_over_parent": null + }, + "node_1245": { + "node_id": "node_1245", + "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n Mass: 204.60 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.60282623978716, + "fos_buckling": 1.5297451238411115, + "fos_yielding": 4.834298996518739, + "deflection": 0.011232098909001832, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)" + }, + "parent_node_id": "node_1244", + "improvement_over_parent": null + }, + "node_1246": { + "node_id": "node_1246", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1245", + "improvement_over_parent": null + }, + "node_1247": { + "node_id": "node_1247", + "content": "INITIAL DESIGN (Trace 180)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0027)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0032)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0037)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0035)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0013)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0032)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0036)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0028)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0029)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0021)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0017)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0024)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0026)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0023)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0029)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0025)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0032)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0039)]\n\nPerformance:\n Mass: 97.94 kg\n Factor of Safety: 0.17\n Max Deflection: 2.90e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 97.94021320391481, + "fos_buckling": 0.1720811235233995, + "fos_yielding": 1.9555872807857826, + "deflection": 0.028971105447809502, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1248": { + "node_id": "node_1248", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0017)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0043)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0023)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0030)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n\nPerformance:\n Mass: 126.51 kg\n Factor of Safety: 0.22\n Max Deflection: 2.25e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 126.51213425145549, + "fos_buckling": 0.21835113608533283, + "fos_yielding": 2.533846874312133, + "deflection": 0.022516773466726613, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.309)" + }, + "parent_node_id": "node_1247", + "improvement_over_parent": null + }, + "node_1249": { + "node_id": "node_1249", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0023)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0030)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nPerformance:\n Mass: 162.48 kg\n Factor of Safety: 0.27\n Max Deflection: 1.76e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.47598741365178, + "fos_buckling": 0.27413285084632205, + "fos_yielding": 3.2678153209034932, + "deflection": 0.017618568079042402, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.307)" + }, + "parent_node_id": "node_1248", + "improvement_over_parent": null + }, + "node_1250": { + "node_id": "node_1250", + "content": "MODIFICATION: Increase 15 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0023)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0030)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nPerformance:\n Mass: 164.10 kg\n Factor of Safety: 0.27\n Max Deflection: 1.75e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.10104703960266, + "fos_buckling": 0.273948075122505, + "fos_yielding": 3.2672363291615274, + "deflection": 0.017537024985753425, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.221)" + }, + "parent_node_id": "node_1249", + "improvement_over_parent": null + }, + "node_1251": { + "node_id": "node_1251", + "content": "MODIFICATION: Increase 4 thickness by 59%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0030)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nPerformance:\n Mass: 165.73 kg\n Factor of Safety: 0.40\n Max Deflection: 1.66e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.7262849451471, + "fos_buckling": 0.4008992687662173, + "fos_yielding": 3.2671875102083168, + "deflection": 0.016576310529721375, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.587)" + }, + "parent_node_id": "node_1250", + "improvement_over_parent": null + }, + "node_1252": { + "node_id": "node_1252", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 190.48 kg\n Factor of Safety: 0.45\n Max Deflection: 1.45e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.48112804704743, + "fos_buckling": 0.4477043054089432, + "fos_yielding": 3.7675224365944002, + "deflection": 0.014478042227123738, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.164)" + }, + "parent_node_id": "node_1251", + "improvement_over_parent": null + }, + "node_1253": { + "node_id": "node_1253", + "content": "MODIFICATION: Increase 12 thickness by 56%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 192.24 kg\n Factor of Safety: 0.45\n Max Deflection: 1.44e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.23532955502057, + "fos_buckling": 0.44770430540894324, + "fos_yielding": 4.136610248078095, + "deflection": 0.01435199575298342, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.562)" + }, + "parent_node_id": "node_1252", + "improvement_over_parent": null + }, + "node_1254": { + "node_id": "node_1254", + "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 204.77 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.77432189498987, + "fos_buckling": 1.5308478458689798, + "fos_yielding": 4.8388998026631125, + "deflection": 0.011222734607295079, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)" + }, + "parent_node_id": "node_1253", + "improvement_over_parent": null + }, + "node_1255": { + "node_id": "node_1255", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1254", + "improvement_over_parent": null + }, + "node_1256": { + "node_id": "node_1256", + "content": "INITIAL DESIGN (Trace 181)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0030)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n\nPerformance:\n Mass: 171.25 kg\n Factor of Safety: 0.96\n Max Deflection: 1.42e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.25105050110886, + "fos_buckling": 0.9568323854903578, + "fos_yielding": 2.6814904338235452, + "deflection": 0.014181943931660014, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1257": { + "node_id": "node_1257", + "content": "MODIFICATION: Increase 8 thickness by 66%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n\nPerformance:\n Mass: 173.18 kg\n Factor of Safety: 1.15\n Max Deflection: 1.40e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.17581252988833, + "fos_buckling": 1.154542563203054, + "fos_yielding": 4.236534327792903, + "deflection": 0.013987300614384648, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.656)" + }, + "parent_node_id": "node_1256", + "improvement_over_parent": null + }, + "node_1258": { + "node_id": "node_1258", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 198.00 kg\n Factor of Safety: 1.30\n Max Deflection: 1.23e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.9964329843313, + "fos_buckling": 1.2968409823632128, + "fos_yielding": 4.838685498285146, + "deflection": 0.012266554746843737, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.157)" + }, + "parent_node_id": "node_1257", + "improvement_over_parent": null + }, + "node_1259": { + "node_id": "node_1259", + "content": "MODIFICATION: Increase 6 thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 201.20 kg\n Factor of Safety: 1.53\n Max Deflection: 1.17e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 201.2038787517858, + "fos_buckling": 1.5268388793724306, + "fos_yielding": 4.836273922742786, + "deflection": 0.011679813645142915, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.294)" + }, + "parent_node_id": "node_1258", + "improvement_over_parent": null + }, + "node_1260": { + "node_id": "node_1260", + "content": "MODIFICATION: Increase 2 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70209211013798, + "fos_buckling": 1.5304649891153521, + "fos_yielding": 4.8381955445773155, + "deflection": 0.01122746046294637, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.307)" + }, + "parent_node_id": "node_1259", + "improvement_over_parent": null + }, + "node_1261": { + "node_id": "node_1261", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1260", + "improvement_over_parent": null + }, + "node_1262": { + "node_id": "node_1262", + "content": "INITIAL DESIGN (Trace 182)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0029)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n Mass: 173.91 kg\n Factor of Safety: 0.49\n Max Deflection: 1.94e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.91442632807966, + "fos_buckling": 0.48792262578891654, + "fos_yielding": 2.365246718468028, + "deflection": 0.019401856823042987, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1263": { + "node_id": "node_1263", + "content": "MODIFICATION: Increase 14 thickness by 60%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n Mass: 176.68 kg\n Factor of Safety: 0.49\n Max Deflection: 1.93e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.67510890680032, + "fos_buckling": 0.48788454990573193, + "fos_yielding": 2.3651474246143396, + "deflection": 0.019348942900286933, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.603)" + }, + "parent_node_id": "node_1262", + "improvement_over_parent": null + }, + "node_1264": { + "node_id": "node_1264", + "content": "MODIFICATION: Increase 12 thickness by 49%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n Mass: 178.26 kg\n Factor of Safety: 0.49\n Max Deflection: 1.86e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.26453890536015, + "fos_buckling": 0.48788454990573193, + "fos_yielding": 3.4128414410110532, + "deflection": 0.018599004618965978, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.486)" + }, + "parent_node_id": "node_1263", + "improvement_over_parent": null + }, + "node_1265": { + "node_id": "node_1265", + "content": "MODIFICATION: Increase 15 thickness by 58%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n Mass: 181.56 kg\n Factor of Safety: 0.49\n Max Deflection: 1.85e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.55858311561047, + "fos_buckling": 0.4877483022626294, + "fos_yielding": 3.4123287106948514, + "deflection": 0.01854876533699159, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.580)" + }, + "parent_node_id": "node_1264", + "improvement_over_parent": null + }, + "node_1266": { + "node_id": "node_1266", + "content": "MODIFICATION: Increase 0 thickness by 40%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n Mass: 183.85 kg\n Factor of Safety: 0.49\n Max Deflection: 1.85e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.8544396062419, + "fos_buckling": 0.4877166595590475, + "fos_yielding": 3.4122096131944737, + "deflection": 0.018472999780393497, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.403)" + }, + "parent_node_id": "node_1265", + "improvement_over_parent": null + }, + "node_1267": { + "node_id": "node_1267", + "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.7026510952204, + "fos_buckling": 1.5304043208709162, + "fos_yielding": 4.836771714665794, + "deflection": 0.011226871300889328, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.007737)" + }, + "parent_node_id": "node_1266", + "improvement_over_parent": null + }, + "node_1268": { + "node_id": "node_1268", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1267", + "improvement_over_parent": null + }, + "node_1269": { + "node_id": "node_1269", + "content": "INITIAL DESIGN (Trace 183)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0027)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0052)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 0, + "fos_buckling": 0, + "fos_yielding": 0, + "deflection": Infinity, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1270": { + "node_id": "node_1270", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0027)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0052)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n\nPerformance:\n Mass: 154.22 kg\n Factor of Safety: 0.61\n Max Deflection: 2.02e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 154.22372442517715, + "fos_buckling": 0.6084822443309378, + "fos_yielding": 3.5350653418273565, + "deflection": 0.02021657387732978, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003616)" + }, + "parent_node_id": "node_1269", + "improvement_over_parent": null + }, + "node_1271": { + "node_id": "node_1271", + "content": "MODIFICATION: Increase 2 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0027)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n\nPerformance:\n Mass: 156.52 kg\n Factor of Safety: 0.61\n Max Deflection: 1.99e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 156.5205326729628, + "fos_buckling": 0.6081269562698877, + "fos_yielding": 3.5330183713031205, + "deflection": 0.01992251321223826, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.214)" + }, + "parent_node_id": "node_1270", + "improvement_over_parent": null + }, + "node_1272": { + "node_id": "node_1272", + "content": "MODIFICATION: Increase 1 thickness by 49%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n\nPerformance:\n Mass: 159.02 kg\n Factor of Safety: 0.61\n Max Deflection: 1.80e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.0197940234238, + "fos_buckling": 0.6079981904284785, + "fos_yielding": 3.565361093623727, + "deflection": 0.01801638505999677, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.493)" + }, + "parent_node_id": "node_1271", + "improvement_over_parent": null + }, + "node_1273": { + "node_id": "node_1273", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n\nPerformance:\n Mass: 168.59 kg\n Factor of Safety: 1.03\n Max Deflection: 1.40e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 168.58886059456236, + "fos_buckling": 1.0333715279235745, + "fos_yielding": 4.485123598798696, + "deflection": 0.01402601113412306, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.004823)" + }, + "parent_node_id": "node_1272", + "improvement_over_parent": null + }, + "node_1274": { + "node_id": "node_1274", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n\nPerformance:\n Mass: 175.35 kg\n Factor of Safety: 1.36\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.34899312470813, + "fos_buckling": 1.3624164833393901, + "fos_yielding": 4.211696988040859, + "deflection": 0.013302233882138678, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004054)" + }, + "parent_node_id": "node_1273", + "improvement_over_parent": null + }, + "node_1275": { + "node_id": "node_1275", + "content": "MODIFICATION: Increase 1 thickness by 34%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n\nPerformance:\n Mass: 177.82 kg\n Factor of Safety: 1.36\n Max Deflection: 1.29e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.82146350695308, + "fos_buckling": 1.363724321867812, + "fos_yielding": 4.204886677475244, + "deflection": 0.012873789799205566, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.340)" + }, + "parent_node_id": "node_1274", + "improvement_over_parent": null + }, + "node_1276": { + "node_id": "node_1276", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n Mass: 204.69 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.69077906657807, + "fos_buckling": 1.5303860796255322, + "fos_yielding": 4.836770297518864, + "deflection": 0.011227723224595684, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.166)" + }, + "parent_node_id": "node_1275", + "improvement_over_parent": null + }, + "node_1277": { + "node_id": "node_1277", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1276", + "improvement_over_parent": null + }, + "node_1278": { + "node_id": "node_1278", + "content": "INITIAL DESIGN (Trace 184)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0029)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0034)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0040)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0037)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0023)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0023)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0031)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0031)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0029)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0033)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0026)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0028)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0031)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0027)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0034)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0042)]\n\nPerformance:\n Mass: 105.12 kg\n Factor of Safety: 0.18\n Max Deflection: 3.22e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 105.12411684473567, + "fos_buckling": 0.1797169337410871, + "fos_yielding": 2.705269323454888, + "deflection": 0.03222987201892676, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1279": { + "node_id": "node_1279", + "content": "MODIFICATION: Increase 5 thickness by 56%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0029)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0034)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0040)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0037)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0023)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0035)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0031)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0031)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0029)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0033)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0026)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0028)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0031)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0027)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0034)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0042)]\n\nPerformance:\n Mass: 107.57 kg\n Factor of Safety: 0.15\n Max Deflection: 3.16e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 107.56751645977506, + "fos_buckling": 0.14983464049041098, + "fos_yielding": 2.7052693234548895, + "deflection": 0.03164218663755474, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.555)" + }, + "parent_node_id": "node_1278", + "improvement_over_parent": null + }, + "node_1280": { + "node_id": "node_1280", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n\nPerformance:\n Mass: 125.75 kg\n Factor of Safety: 0.17\n Max Deflection: 2.71e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 125.74594995305718, + "fos_buckling": 0.17247132969086051, + "fos_yielding": 3.1612652083764177, + "deflection": 0.027088942432889927, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.179)" + }, + "parent_node_id": "node_1279", + "improvement_over_parent": null + }, + "node_1281": { + "node_id": "node_1281", + "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n\nPerformance:\n Mass: 133.30 kg\n Factor of Safety: 0.63\n Max Deflection: 1.86e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 133.30080565031852, + "fos_buckling": 0.6286956287925926, + "fos_yielding": 3.215282476560151, + "deflection": 0.01864609736950348, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.003667)" + }, + "parent_node_id": "node_1280", + "improvement_over_parent": null + }, + "node_1282": { + "node_id": "node_1282", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n\nPerformance:\n Mass: 159.51 kg\n Factor of Safety: 0.74\n Max Deflection: 1.56e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.5073081809959, + "fos_buckling": 0.7365133180136388, + "fos_yielding": 3.8446553215472483, + "deflection": 0.015618106671996156, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.211)" + }, + "parent_node_id": "node_1281", + "improvement_over_parent": null + }, + "node_1283": { + "node_id": "node_1283", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n\nPerformance:\n Mass: 177.75 kg\n Factor of Safety: 0.81\n Max Deflection: 1.40e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.75038295876826, + "fos_buckling": 0.808483093550979, + "fos_yielding": 4.282249994545048, + "deflection": 0.014037347348107515, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.124)" + }, + "parent_node_id": "node_1282", + "improvement_over_parent": null + }, + "node_1284": { + "node_id": "node_1284", + "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n\nPerformance:\n Mass: 180.50 kg\n Factor of Safety: 1.38\n Max Deflection: 1.27e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.49538454066865, + "fos_buckling": 1.3807305815489561, + "fos_yielding": 4.267824415855155, + "deflection": 0.012687659288352443, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003629)" + }, + "parent_node_id": "node_1283", + "improvement_over_parent": null + }, + "node_1285": { + "node_id": "node_1285", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n Mass: 204.81 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.80687016535055, + "fos_buckling": 1.5310440830024883, + "fos_yielding": 4.839514550048345, + "deflection": 0.011221232749322985, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.148)" + }, + "parent_node_id": "node_1284", + "improvement_over_parent": null + }, + "node_1286": { + "node_id": "node_1286", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1285", + "improvement_over_parent": null + }, + "node_1287": { + "node_id": "node_1287", + "content": "INITIAL DESIGN (Trace 185)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (17 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0054)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0030)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0042)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n\nPerformance:\n Mass: 126.55 kg\n Factor of Safety: 0.29\n Max Deflection: 2.70e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 126.55183376382556, + "fos_buckling": 0.2937360728187644, + "fos_yielding": 2.336095758334563, + "deflection": 0.02699263156772771, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1288": { + "node_id": "node_1288", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0054)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0030)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0042)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M17: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n\nPerformance:\n Mass: 127.10 kg\n Factor of Safety: 0.29\n Max Deflection: 2.66e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 127.09549320848235, + "fos_buckling": 0.2937179317105599, + "fos_yielding": 2.3359514813122644, + "deflection": 0.026625265639840218, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001482)" + }, + "parent_node_id": "node_1287", + "improvement_over_parent": null + }, + "node_1289": { + "node_id": "node_1289", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M17: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n\nPerformance:\n Mass: 148.10 kg\n Factor of Safety: 0.34\n Max Deflection: 2.29e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 148.09962458325938, + "fos_buckling": 0.33742961854018766, + "fos_yielding": 2.7263037937546004, + "deflection": 0.02287799932774321, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.179)" + }, + "parent_node_id": "node_1288", + "improvement_over_parent": null + }, + "node_1290": { + "node_id": "node_1290", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M17: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n\nPerformance:\n Mass: 152.80 kg\n Factor of Safety: 0.34\n Max Deflection: 2.25e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 152.7970921246211, + "fos_buckling": 0.3373846895203538, + "fos_yielding": 2.725940784254271, + "deflection": 0.022526931769715982, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003690)" + }, + "parent_node_id": "node_1289", + "improvement_over_parent": null + }, + "node_1291": { + "node_id": "node_1291", + "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M17: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n Mass: 171.25 kg\n Factor of Safety: 0.92\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.24689346646684, + "fos_buckling": 0.9160504577899314, + "fos_yielding": 4.292862333459637, + "deflection": 0.012350866982118836, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.006770)" + }, + "parent_node_id": "node_1290", + "improvement_over_parent": null + }, + "node_1292": { + "node_id": "node_1292", + "content": "MODIFICATION: Increase 7 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0070)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M17: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n Mass: 173.06 kg\n Factor of Safety: 0.92\n Max Deflection: 1.23e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.05901670595102, + "fos_buckling": 0.916050457789932, + "fos_yielding": 4.962343450262282, + "deflection": 0.012307647023656186, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.395)" + }, + "parent_node_id": "node_1291", + "improvement_over_parent": null + }, + "node_1293": { + "node_id": "node_1293", + "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0070)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M17: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n\nPerformance:\n Mass: 180.68 kg\n Factor of Safety: 1.28\n Max Deflection: 1.27e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.6796108625277, + "fos_buckling": 1.2750434269096413, + "fos_yielding": 5.002937891102786, + "deflection": 0.012660627434592878, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004351)" + }, + "parent_node_id": "node_1292", + "improvement_over_parent": null + }, + "node_1294": { + "node_id": "node_1294", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0040)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0079)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n Mass: 204.18 kg\n Factor of Safety: 1.42\n Max Deflection: 1.12e-02 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.17894067579806, + "fos_buckling": 1.4194265176821026, + "fos_yielding": 5.6475334319306825, + "deflection": 0.011241068188352606, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.143)" + }, + "parent_node_id": "node_1293", + "improvement_over_parent": null + }, + "node_1295": { + "node_id": "node_1295", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1294", + "improvement_over_parent": null + }, + "node_1296": { + "node_id": "node_1296", + "content": "INITIAL DESIGN (Trace 186)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0023)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n\nPerformance:\n Mass: 117.46 kg\n Factor of Safety: 0.17\n Max Deflection: 4.82e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 117.4623774619308, + "fos_buckling": 0.17088592516587378, + "fos_yielding": 1.395344983661111, + "deflection": 0.048249366852640065, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1297": { + "node_id": "node_1297", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0027)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n Mass: 138.83 kg\n Factor of Safety: 0.20\n Max Deflection: 4.09e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 138.8348219937361, + "fos_buckling": 0.19920549352078518, + "fos_yielding": 1.643085601084105, + "deflection": 0.04092564505538885, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.195)" + }, + "parent_node_id": "node_1296", + "improvement_over_parent": null + }, + "node_1298": { + "node_id": "node_1298", + "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0027)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n\nPerformance:\n Mass: 148.69 kg\n Factor of Safety: 0.20\n Max Deflection: 3.92e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 148.68773701822496, + "fos_buckling": 0.19904029211843607, + "fos_yielding": 1.6410855440142724, + "deflection": 0.039199285335732165, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.004618)" + }, + "parent_node_id": "node_1297", + "improvement_over_parent": null + }, + "node_1299": { + "node_id": "node_1299", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0027)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n\nPerformance:\n Mass: 158.50 kg\n Factor of Safety: 1.09\n Max Deflection: 1.43e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 158.49823314379614, + "fos_buckling": 1.0884486052830664, + "fos_yielding": 3.8099792619600303, + "deflection": 0.014286949901903254, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.004977)" + }, + "parent_node_id": "node_1298", + "improvement_over_parent": null + }, + "node_1300": { + "node_id": "node_1300", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n Mass: 201.72 kg\n Factor of Safety: 1.35\n Max Deflection: 1.13e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.71768974222783, + "fos_buckling": 1.3504096348190326, + "fos_yielding": 4.842085181083241, + "deflection": 0.011297380502900058, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.299)" + }, + "parent_node_id": "node_1299", + "improvement_over_parent": null + }, + "node_1301": { + "node_id": "node_1301", + "content": "MODIFICATION: Increase 15 thickness by 48%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0085)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n Mass: 206.50 kg\n Factor of Safety: 1.39\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.5009752924048, + "fos_buckling": 1.3854736795318463, + "fos_yielding": 4.843096537780494, + "deflection": 0.011501851998735347, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.484)" + }, + "parent_node_id": "node_1300", + "improvement_over_parent": null + }, + "node_1302": { + "node_id": "node_1302", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1301", + "improvement_over_parent": null + }, + "node_1303": { + "node_id": "node_1303", + "content": "INITIAL DESIGN (Trace 187)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n\nPerformance:\n Mass: 124.63 kg\n Factor of Safety: 0.22\n Max Deflection: 4.86e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 124.63416777374869, + "fos_buckling": 0.22362270619266034, + "fos_yielding": 1.0945162103374333, + "deflection": 0.048630187684893175, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1304": { + "node_id": "node_1304", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n\nPerformance:\n Mass: 138.02 kg\n Factor of Safety: 0.24\n Max Deflection: 4.40e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 138.02011042085056, + "fos_buckling": 0.2435350841529882, + "fos_yielding": 1.2100346836203202, + "deflection": 0.04399363924975933, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.116)" + }, + "parent_node_id": "node_1303", + "improvement_over_parent": null + }, + "node_1305": { + "node_id": "node_1305", + "content": "MODIFICATION: Increase 9 thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n\nPerformance:\n Mass: 138.64 kg\n Factor of Safety: 0.24\n Max Deflection: 4.41e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 138.6390082435358, + "fos_buckling": 0.24350971560800003, + "fos_yielding": 1.2099078216061703, + "deflection": 0.044112860669488836, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.328)" + }, + "parent_node_id": "node_1304", + "improvement_over_parent": null + }, + "node_1306": { + "node_id": "node_1306", + "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n\nPerformance:\n Mass: 156.42 kg\n Factor of Safety: 0.24\n Max Deflection: 4.00e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 156.42120395811835, + "fos_buckling": 0.2431458530855016, + "fos_yielding": 1.2080882511378546, + "deflection": 0.03997930735432961, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.006505)" + }, + "parent_node_id": "node_1305", + "improvement_over_parent": null + }, + "node_1307": { + "node_id": "node_1307", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 183.35 kg\n Factor of Safety: 0.28\n Max Deflection: 3.42e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.34745070422358, + "fos_buckling": 0.27646844776978646, + "fos_yielding": 1.4115399005722205, + "deflection": 0.03423055313082133, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.189)" + }, + "parent_node_id": "node_1306", + "improvement_over_parent": null + }, + "node_1308": { + "node_id": "node_1308", + "content": "MODIFICATION: Increase 10 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 184.19 kg\n Factor of Safety: 0.28\n Max Deflection: 3.42e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.1919094702713, + "fos_buckling": 0.2764684477697864, + "fos_yielding": 1.4115399005722216, + "deflection": 0.03415626379164215, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.214)" + }, + "parent_node_id": "node_1307", + "improvement_over_parent": null + }, + "node_1309": { + "node_id": "node_1309", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 189.50 kg\n Factor of Safety: 0.28\n Max Deflection: 3.38e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.4999549472658, + "fos_buckling": 0.276345704658403, + "fos_yielding": 1.390144387206641, + "deflection": 0.03377084456138041, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)" + }, + "parent_node_id": "node_1308", + "improvement_over_parent": null + }, + "node_1310": { + "node_id": "node_1310", + "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 204.68 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.6845089621672, + "fos_buckling": 1.5301289603421206, + "fos_yielding": 4.836518010622167, + "deflection": 0.011227585105559924, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)" + }, + "parent_node_id": "node_1309", + "improvement_over_parent": null + }, + "node_1311": { + "node_id": "node_1311", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1310", + "improvement_over_parent": null + }, + "node_1312": { + "node_id": "node_1312", + "content": "INITIAL DESIGN (Trace 188)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0031)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0042)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0039)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0037)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0032)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0031)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0030)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0023)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0020)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0044)]\n\nPerformance:\n Mass: 117.90 kg\n Factor of Safety: 0.74\n Max Deflection: 1.82e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 117.90471120889205, + "fos_buckling": 0.7403802604138784, + "fos_yielding": 2.8723837956305664, + "deflection": 0.018183003119837508, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1313": { + "node_id": "node_1313", + "content": "MODIFICATION: Increase 17 thickness by 44%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0031)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0042)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0039)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0037)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0032)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0031)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0030)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0033)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0020)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0044)]\n\nPerformance:\n Mass: 119.90 kg\n Factor of Safety: 0.94\n Max Deflection: 1.86e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 119.89984245206539, + "fos_buckling": 0.937031279592889, + "fos_yielding": 2.873376487916856, + "deflection": 0.018621622475089326, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.439)" + }, + "parent_node_id": "node_1312", + "improvement_over_parent": null + }, + "node_1314": { + "node_id": "node_1314", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0052)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0049)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0046)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0040)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0040)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0025)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0055)]\n\nPerformance:\n Mass: 146.47 kg\n Factor of Safety: 1.12\n Max Deflection: 1.53e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 146.4669863477863, + "fos_buckling": 1.1217013017457154, + "fos_yielding": 3.5071552422908585, + "deflection": 0.015306221379534574, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.236)" + }, + "parent_node_id": "node_1313", + "improvement_over_parent": null + }, + "node_1315": { + "node_id": "node_1315", + "content": "MODIFICATION: Increase 18 thickness by 40%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0052)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0049)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0046)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0040)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0040)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0055)]\n\nPerformance:\n Mass: 148.17 kg\n Factor of Safety: 1.17\n Max Deflection: 1.54e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 148.16571655256348, + "fos_buckling": 1.1678229758297687, + "fos_yielding": 3.5061184774914738, + "deflection": 0.015384202748340833, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(18, thickness, 1.399)" + }, + "parent_node_id": "node_1314", + "improvement_over_parent": null + }, + "node_1316": { + "node_id": "node_1316", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n\nPerformance:\n Mass: 175.58 kg\n Factor of Safety: 1.35\n Max Deflection: 1.30e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.57963887588141, + "fos_buckling": 1.3492671272122474, + "fos_yielding": 4.151777031463735, + "deflection": 0.013034356897805075, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.200)" + }, + "parent_node_id": "node_1315", + "improvement_over_parent": null + }, + "node_1317": { + "node_id": "node_1317", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.51 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.51325612775364, + "fos_buckling": 1.5292208914655423, + "fos_yielding": 4.832200301330107, + "deflection": 0.011237566692905791, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.181)" + }, + "parent_node_id": "node_1316", + "improvement_over_parent": null + }, + "node_1318": { + "node_id": "node_1318", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1317", + "improvement_over_parent": null + }, + "node_1319": { + "node_id": "node_1319", + "content": "INITIAL DESIGN (Trace 189)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 177.93 kg\n Factor of Safety: 0.40\n Max Deflection: 1.38e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.934101270814, + "fos_buckling": 0.3996311295556184, + "fos_yielding": 4.912821873725641, + "deflection": 0.013849063298998873, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1320": { + "node_id": "node_1320", + "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n Mass: 187.45 kg\n Factor of Safety: 1.09\n Max Deflection: 1.23e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 187.44975908781436, + "fos_buckling": 1.0942530517668339, + "fos_yielding": 4.849409990625043, + "deflection": 0.012337576122977298, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.005227)" + }, + "parent_node_id": "node_1319", + "improvement_over_parent": null + }, + "node_1321": { + "node_id": "node_1321", + "content": "MODIFICATION: Increase 4 thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n Mass: 188.23 kg\n Factor of Safety: 1.09\n Max Deflection: 1.23e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.23213996680266, + "fos_buckling": 1.094228865361302, + "fos_yielding": 4.8374025099499915, + "deflection": 0.012313395371880018, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.190)" + }, + "parent_node_id": "node_1320", + "improvement_over_parent": null + }, + "node_1322": { + "node_id": "node_1322", + "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n Mass: 202.12 kg\n Factor of Safety: 1.47\n Max Deflection: 1.12e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.11704684242426, + "fos_buckling": 1.4704924192726003, + "fos_yielding": 4.83850058260254, + "deflection": 0.011162088531934027, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)" + }, + "parent_node_id": "node_1321", + "improvement_over_parent": null + }, + "node_1323": { + "node_id": "node_1323", + "content": "MODIFICATION: Increase 18 thickness by 47%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0114)]\n M19: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n Mass: 210.57 kg\n Factor of Safety: 1.48\n Max Deflection: 1.09e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 210.57161058016663, + "fos_buckling": 1.4843042048885793, + "fos_yielding": 4.83797287135811, + "deflection": 0.010872379769225428, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(18, thickness, 1.468)" + }, + "parent_node_id": "node_1322", + "improvement_over_parent": null + }, + "node_1324": { + "node_id": "node_1324", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1323", + "improvement_over_parent": null + }, + "node_1325": { + "node_id": "node_1325", + "content": "INITIAL DESIGN (Trace 190)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0045)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0027)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nPerformance:\n Mass: 156.53 kg\n Factor of Safety: 0.13\n Max Deflection: 2.19e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 156.530520744962, + "fos_buckling": 0.1345915421023027, + "fos_yielding": 3.122697168305552, + "deflection": 0.02194429983060086, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1326": { + "node_id": "node_1326", + "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0045)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0027)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n M18: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n\nPerformance:\n Mass: 166.39 kg\n Factor of Safety: 0.85\n Max Deflection: 1.54e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.38580536873454, + "fos_buckling": 0.8544924356863285, + "fos_yielding": 4.164786607191321, + "deflection": 0.015414345673668608, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004874)" + }, + "parent_node_id": "node_1325", + "improvement_over_parent": null + }, + "node_1327": { + "node_id": "node_1327", + "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0045)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0027)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n M18: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n\nPerformance:\n Mass: 169.07 kg\n Factor of Safety: 1.16\n Max Deflection: 1.36e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.0721263679883, + "fos_buckling": 1.1647324334740883, + "fos_yielding": 4.1046624798539915, + "deflection": 0.013611144542464013, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003545)" + }, + "parent_node_id": "node_1326", + "improvement_over_parent": null + }, + "node_1328": { + "node_id": "node_1328", + "content": "MODIFICATION: Increase 9 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0045)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0027)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n M18: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n\nPerformance:\n Mass: 169.22 kg\n Factor of Safety: 1.17\n Max Deflection: 1.36e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.22472040981643, + "fos_buckling": 1.1673018780105187, + "fos_yielding": 4.105364060727587, + "deflection": 0.013600179396437047, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.355)" + }, + "parent_node_id": "node_1327", + "improvement_over_parent": null + }, + "node_1329": { + "node_id": "node_1329", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0045)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0027)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n M18: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M20: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n\nPerformance:\n Mass: 170.20 kg\n Factor of Safety: 1.35\n Max Deflection: 1.36e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.19623254573727, + "fos_buckling": 1.3549799734963182, + "fos_yielding": 4.174319464803955, + "deflection": 0.013554215534408944, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002132)" + }, + "parent_node_id": "node_1328", + "improvement_over_parent": null + }, + "node_1330": { + "node_id": "node_1330", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0052)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M20: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n\nPerformance:\n Mass: 197.39 kg\n Factor of Safety: 1.53\n Max Deflection: 1.17e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 197.38648056549422, + "fos_buckling": 1.5297826816143345, + "fos_yielding": 4.835771474008564, + "deflection": 0.0117294190841527, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.175)" + }, + "parent_node_id": "node_1329", + "improvement_over_parent": null + }, + "node_1331": { + "node_id": "node_1331", + "content": "MODIFICATION: Increase 18 thickness by 59%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0052)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0091)]\n M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M20: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n\nPerformance:\n Mass: 203.13 kg\n Factor of Safety: 1.53\n Max Deflection: 1.20e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 203.12573622010862, + "fos_buckling": 1.5313810632754554, + "fos_yielding": 4.836653026187474, + "deflection": 0.011971651657662447, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(18, thickness, 1.587)" + }, + "parent_node_id": "node_1330", + "improvement_over_parent": null + }, + "node_1332": { + "node_id": "node_1332", + "content": "MODIFICATION: Increase 2 thickness by 40%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0091)]\n M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M20: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n\nPerformance:\n Mass: 207.40 kg\n Factor of Safety: 1.54\n Max Deflection: 1.14e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 207.39576390347517, + "fos_buckling": 1.5358812918367541, + "fos_yielding": 4.8390247762330265, + "deflection": 0.011409727541262018, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.399)" + }, + "parent_node_id": "node_1331", + "improvement_over_parent": null + }, + "node_1333": { + "node_id": "node_1333", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1332", + "improvement_over_parent": null + }, + "node_1334": { + "node_id": "node_1334", + "content": "INITIAL DESIGN (Trace 191)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (17 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n Mass: 129.24 kg\n Factor of Safety: 0.39\n Max Deflection: 1.51e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 129.24485786035157, + "fos_buckling": 0.38893266995358183, + "fos_yielding": 1.9721688255087158, + "deflection": 15146524085138.314, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1335": { + "node_id": "node_1335", + "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n\nPerformance:\n Mass: 136.14 kg\n Factor of Safety: 1.12\n Max Deflection: 5.28e+12 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 136.13616154723223, + "fos_buckling": 1.1209523960837824, + "fos_yielding": 4.381415971010152, + "deflection": 5281871928111.208, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.003903)" + }, + "parent_node_id": "node_1334", + "improvement_over_parent": null + }, + "node_1336": { + "node_id": "node_1336", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M18: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n\nPerformance:\n Mass: 146.13 kg\n Factor of Safety: 0.30\n Max Deflection: 1.74e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 146.12999714230398, + "fos_buckling": 0.29608477665003863, + "fos_yielding": 3.927637037572547, + "deflection": 0.017401782508917826, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.005077)" + }, + "parent_node_id": "node_1335", + "improvement_over_parent": null + }, + "node_1337": { + "node_id": "node_1337", + "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M18: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n\nPerformance:\n Mass: 153.70 kg\n Factor of Safety: 0.35\n Max Deflection: 1.59e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 153.7041722739605, + "fos_buckling": 0.349414674413852, + "fos_yielding": 3.927452566279749, + "deflection": 0.015865406620552636, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.004420)" + }, + "parent_node_id": "node_1336", + "improvement_over_parent": null + }, + "node_1338": { + "node_id": "node_1338", + "content": "MODIFICATION: Increase 18 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M18: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0067)]\n M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n\nPerformance:\n Mass: 156.54 kg\n Factor of Safety: 0.35\n Max Deflection: 1.52e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 156.53592598412726, + "fos_buckling": 0.348758006331579, + "fos_yielding": 3.9271077717205043, + "deflection": 0.015160428184545, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(18, thickness, 1.312)" + }, + "parent_node_id": "node_1337", + "improvement_over_parent": null + }, + "node_1339": { + "node_id": "node_1339", + "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M18: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0067)]\n M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n\nPerformance:\n Mass: 164.15 kg\n Factor of Safety: 1.24\n Max Deflection: 1.36e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.15138123848402, + "fos_buckling": 1.2350257785792165, + "fos_yielding": 3.879428037910583, + "deflection": 0.013562604378316767, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.004103)" + }, + "parent_node_id": "node_1338", + "improvement_over_parent": null + }, + "node_1340": { + "node_id": "node_1340", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M18: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0075)]\n M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n\nPerformance:\n Mass: 183.78 kg\n Factor of Safety: 1.36\n Max Deflection: 1.22e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.7804549292899, + "fos_buckling": 1.3581571967755344, + "fos_yielding": 4.341506618803852, + "deflection": 0.01215152877660207, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.130)" + }, + "parent_node_id": "node_1339", + "improvement_over_parent": null + }, + "node_1341": { + "node_id": "node_1341", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0085)]\n M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n Mass: 204.99 kg\n Factor of Safety: 1.49\n Max Deflection: 1.09e-02 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.99237149313393, + "fos_buckling": 1.4854082423396795, + "fos_yielding": 4.840435782429606, + "deflection": 0.010930617370420913, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.127)" + }, + "parent_node_id": "node_1340", + "improvement_over_parent": null + }, + "node_1342": { + "node_id": "node_1342", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1341", + "improvement_over_parent": null + }, + "node_1343": { + "node_id": "node_1343", + "content": "INITIAL DESIGN (Trace 192)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0037)]\n\nPerformance:\n Mass: 125.76 kg\n Factor of Safety: 0.49\n Max Deflection: 2.09e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 125.75621678325666, + "fos_buckling": 0.4860200923783066, + "fos_yielding": 3.177538858071675, + "deflection": 0.020928764462067585, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1344": { + "node_id": "node_1344", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n\nPerformance:\n Mass: 163.95 kg\n Factor of Safety: 0.61\n Max Deflection: 1.61e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.95427223345135, + "fos_buckling": 0.6093118287546258, + "fos_yielding": 4.136427057042993, + "deflection": 0.016133905155845698, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.328)" + }, + "parent_node_id": "node_1343", + "improvement_over_parent": null + }, + "node_1345": { + "node_id": "node_1345", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0057)]\n\nPerformance:\n Mass: 188.49 kg\n Factor of Safety: 0.68\n Max Deflection: 1.41e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.48545271294395, + "fos_buckling": 0.682632288673773, + "fos_yielding": 4.750613582375889, + "deflection": 0.014079431720420164, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.164)" + }, + "parent_node_id": "node_1344", + "improvement_over_parent": null + }, + "node_1346": { + "node_id": "node_1346", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0057)]\n M20: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n\nPerformance:\n Mass: 199.50 kg\n Factor of Safety: 1.28\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.50110958883093, + "fos_buckling": 1.2765880219287462, + "fos_yielding": 4.837718787794575, + "deflection": 0.011525353533900832, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.005624)" + }, + "parent_node_id": "node_1345", + "improvement_over_parent": null + }, + "node_1347": { + "node_id": "node_1347", + "content": "MODIFICATION: Increase 20 thickness by 37%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0057)]\n M20: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0077)]\n\nPerformance:\n Mass: 203.03 kg\n Factor of Safety: 1.28\n Max Deflection: 1.14e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.03215620525995, + "fos_buckling": 1.276702404255456, + "fos_yielding": 4.842303335711159, + "deflection": 0.01138857760451877, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(20, thickness, 1.366)" + }, + "parent_node_id": "node_1346", + "improvement_over_parent": null + }, + "node_1348": { + "node_id": "node_1348", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1347", + "improvement_over_parent": null + }, + "node_1349": { + "node_id": "node_1349", + "content": "INITIAL DESIGN (Trace 193)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0018)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0021)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0024)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0023)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0014)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0021)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0023)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0011)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0019)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0008)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0007)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0014)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0018)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0020)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0017)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0018)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0019)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0016)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0021)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0025)]\n\nPerformance:\n Mass: 67.17 kg\n Factor of Safety: 0.46\n Max Deflection: 3.39e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 67.16595744792103, + "fos_buckling": 0.4613635831557211, + "fos_yielding": 1.7944006541228117, + "deflection": 0.03386735035951657, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1350": { + "node_id": "node_1350", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0022)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0030)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0028)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0017)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0026)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0029)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0014)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0023)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0010)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0008)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0017)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0022)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0024)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0021)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0023)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0023)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0020)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0025)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0031)]\n\nPerformance:\n Mass: 82.22 kg\n Factor of Safety: 0.56\n Max Deflection: 2.77e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 82.21644719526688, + "fos_buckling": 0.5556752636973713, + "fos_yielding": 2.1961614580594104, + "deflection": 0.027734708520642255, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.232)" + }, + "parent_node_id": "node_1349", + "improvement_over_parent": null + }, + "node_1351": { + "node_id": "node_1351", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0022)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0030)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0028)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0017)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0026)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0029)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0014)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0023)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0010)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0008)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0017)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0022)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0024)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0021)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0023)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0023)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0020)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0025)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0031)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0019)]\n\nPerformance:\n Mass: 85.52 kg\n Factor of Safety: 0.59\n Max Deflection: 2.63e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 85.52437119378865, + "fos_buckling": 0.5893170416162287, + "fos_yielding": 2.063061777832388, + "deflection": 0.02627706186376942, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.001906)" + }, + "parent_node_id": "node_1350", + "improvement_over_parent": null + }, + "node_1352": { + "node_id": "node_1352", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0028)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0039)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0036)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0022)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0034)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0018)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0030)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0022)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0028)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0032)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0028)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0030)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0030)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0026)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0041)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0025)]\n\nPerformance:\n Mass: 110.60 kg\n Factor of Safety: 0.75\n Max Deflection: 2.04e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 110.60060373556506, + "fos_buckling": 0.7524015642483711, + "fos_yielding": 2.665813608691081, + "deflection": 0.020395055444611176, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.307)" + }, + "parent_node_id": "node_1351", + "improvement_over_parent": null + }, + "node_1353": { + "node_id": "node_1353", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0024)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0052)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n\nPerformance:\n Mass: 140.49 kg\n Factor of Safety: 0.94\n Max Deflection: 1.61e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 140.48779114426907, + "fos_buckling": 0.9410382090286936, + "fos_yielding": 3.382912639180201, + "deflection": 0.016127311106578144, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.287)" + }, + "parent_node_id": "node_1352", + "improvement_over_parent": null + }, + "node_1354": { + "node_id": "node_1354", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0031)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n\nPerformance:\n Mass: 179.39 kg\n Factor of Safety: 1.18\n Max Deflection: 1.27e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.38962172651148, + "fos_buckling": 1.1772302461054618, + "fos_yielding": 4.314172115501736, + "deflection": 0.012702462940006112, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.300)" + }, + "parent_node_id": "node_1353", + "improvement_over_parent": null + }, + "node_1355": { + "node_id": "node_1355", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n Mass: 201.13 kg\n Factor of Safety: 1.30\n Max Deflection: 1.14e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.1298250057764, + "fos_buckling": 1.3046206117069798, + "fos_yielding": 4.833538765606611, + "deflection": 0.011365578271924312, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.133)" + }, + "parent_node_id": "node_1354", + "improvement_over_parent": null + }, + "node_1356": { + "node_id": "node_1356", + "content": "MODIFICATION: Increase 7 thickness by 63%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n Mass: 204.57 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.56947452458348, + "fos_buckling": 1.5296651065864046, + "fos_yielding": 4.8336253645174, + "deflection": 0.011233897397542467, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.626)" + }, + "parent_node_id": "node_1355", + "improvement_over_parent": null + }, + "node_1357": { + "node_id": "node_1357", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1356", + "improvement_over_parent": null + }, + "node_1358": { + "node_id": "node_1358", + "content": "INITIAL DESIGN (Trace 194)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n\nPerformance:\n Mass: 122.81 kg\n Factor of Safety: 0.07\n Max Deflection: 5.60e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 122.81074517805365, + "fos_buckling": 0.0665448837137561, + "fos_yielding": 0.9860844127543577, + "deflection": 56003704882441.19, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1359": { + "node_id": "node_1359", + "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n M18: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n\nPerformance:\n Mass: 131.31 kg\n Factor of Safety: 0.64\n Max Deflection: 1.86e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 131.30572707452123, + "fos_buckling": 0.6388840385317242, + "fos_yielding": 3.498563027880561, + "deflection": 0.018643917601684157, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.003942)" + }, + "parent_node_id": "node_1358", + "improvement_over_parent": null + }, + "node_1360": { + "node_id": "node_1360", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n M18: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n\nPerformance:\n Mass: 136.58 kg\n Factor of Safety: 0.64\n Max Deflection: 1.82e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 136.57827811357126, + "fos_buckling": 0.6425603404652159, + "fos_yielding": 3.2939029919797354, + "deflection": 0.01820368084029413, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003106)" + }, + "parent_node_id": "node_1359", + "improvement_over_parent": null + }, + "node_1361": { + "node_id": "node_1361", + "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n M18: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n\nPerformance:\n Mass: 138.69 kg\n Factor of Safety: 1.10\n Max Deflection: 1.64e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 138.68911688211904, + "fos_buckling": 1.10265485662499, + "fos_yielding": 3.2828131295777414, + "deflection": 0.01641145310734149, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.002738)" + }, + "parent_node_id": "node_1360", + "improvement_over_parent": null + }, + "node_1362": { + "node_id": "node_1362", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n M18: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n\nPerformance:\n Mass: 160.41 kg\n Factor of Safety: 1.25\n Max Deflection: 1.42e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 160.4125229117424, + "fos_buckling": 1.2502484728233478, + "fos_yielding": 3.794801039874542, + "deflection": 0.014234219177806278, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.168)" + }, + "parent_node_id": "node_1361", + "improvement_over_parent": null + }, + "node_1363": { + "node_id": "node_1363", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n Mass: 204.55 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.5477878669385, + "fos_buckling": 1.5294829290775984, + "fos_yielding": 4.833168025433841, + "deflection": 0.011234984025507195, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.302)" + }, + "parent_node_id": "node_1362", + "improvement_over_parent": null + }, + "node_1364": { + "node_id": "node_1364", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1363", + "improvement_over_parent": null + }, + "node_1365": { + "node_id": "node_1365", + "content": "INITIAL DESIGN (Trace 195)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0066)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0054)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n\nPerformance:\n Mass: 161.97 kg\n Factor of Safety: 0.93\n Max Deflection: 1.40e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 161.97366438179387, + "fos_buckling": 0.933662903797885, + "fos_yielding": 4.395984472502993, + "deflection": 0.0140469910697733, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1366": { + "node_id": "node_1366", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 179.10 kg\n Factor of Safety: 1.02\n Max Deflection: 1.27e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.09508792698264, + "fos_buckling": 1.016076866857787, + "fos_yielding": 4.8575687408213435, + "deflection": 0.01272662196714337, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.116)" + }, + "parent_node_id": "node_1365", + "improvement_over_parent": null + }, + "node_1367": { + "node_id": "node_1367", + "content": "MODIFICATION: Increase 1 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 182.19 kg\n Factor of Safety: 1.02\n Max Deflection: 1.25e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.18671707601607, + "fos_buckling": 1.0169004155677894, + "fos_yielding": 4.849594640778245, + "deflection": 0.012522181681124383, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.385)" + }, + "parent_node_id": "node_1366", + "improvement_over_parent": null + }, + "node_1368": { + "node_id": "node_1368", + "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n Mass: 196.07 kg\n Factor of Safety: 1.02\n Max Deflection: 1.08e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.07162395163766, + "fos_buckling": 1.0156680236813274, + "fos_yielding": 4.849119199714341, + "deflection": 0.01082440337991696, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)" + }, + "parent_node_id": "node_1367", + "improvement_over_parent": null + }, + "node_1369": { + "node_id": "node_1369", + "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n Mass: 204.68 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.68211298471155, + "fos_buckling": 1.5303138898709427, + "fos_yielding": 4.836407831810198, + "deflection": 0.011228012961632047, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)" + }, + "parent_node_id": "node_1368", + "improvement_over_parent": null + }, + "node_1370": { + "node_id": "node_1370", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1369", + "improvement_over_parent": null + }, + "node_1371": { + "node_id": "node_1371", + "content": "INITIAL DESIGN (Trace 196)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0021)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n\nPerformance:\n Mass: 152.27 kg\n Factor of Safety: 0.38\n Max Deflection: 2.42e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 152.27275075229346, + "fos_buckling": 0.38065664017893486, + "fos_yielding": 1.9913143964994948, + "deflection": 0.02416387244705118, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1372": { + "node_id": "node_1372", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n\nPerformance:\n Mass: 178.68 kg\n Factor of Safety: 0.44\n Max Deflection: 2.06e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.67624769424708, + "fos_buckling": 0.44130806614595797, + "fos_yielding": 2.34614626740264, + "deflection": 0.02061601061558557, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.190)" + }, + "parent_node_id": "node_1371", + "improvement_over_parent": null + }, + "node_1373": { + "node_id": "node_1373", + "content": "MODIFICATION: Increase 19 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n Mass: 181.30 kg\n Factor of Safety: 0.44\n Max Deflection: 1.95e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.3002184938907, + "fos_buckling": 0.44132441535036143, + "fos_yielding": 2.34623318542619, + "deflection": 0.019495710874098866, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(19, thickness, 1.256)" + }, + "parent_node_id": "node_1372", + "improvement_over_parent": null + }, + "node_1374": { + "node_id": "node_1374", + "content": "MODIFICATION: Increase 8 thickness by 34%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n Mass: 182.69 kg\n Factor of Safety: 0.44\n Max Deflection: 1.94e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.68999260557402, + "fos_buckling": 0.4411297954771147, + "fos_yielding": 2.345198518887761, + "deflection": 0.019449861198688436, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.344)" + }, + "parent_node_id": "node_1373", + "improvement_over_parent": null + }, + "node_1375": { + "node_id": "node_1375", + "content": "MODIFICATION: Increase 11 thickness by 64%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n Mass: 183.84 kg\n Factor of Safety: 0.49\n Max Deflection: 1.85e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.8408375299761, + "fos_buckling": 0.48770383373214815, + "fos_yielding": 3.4133002335711398, + "deflection": 0.01847467595111594, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.642)" + }, + "parent_node_id": "node_1374", + "improvement_over_parent": null + }, + "node_1376": { + "node_id": "node_1376", + "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.69 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.68904901895462, + "fos_buckling": 1.5303869274453026, + "fos_yielding": 4.836023489619113, + "deflection": 0.011227286954844309, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.007737)" + }, + "parent_node_id": "node_1375", + "improvement_over_parent": null + }, + "node_1377": { + "node_id": "node_1377", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1376", + "improvement_over_parent": null + }, + "node_1378": { + "node_id": "node_1378", + "content": "INITIAL DESIGN (Trace 197)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0054)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0041)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0039)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0042)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0057)]\n\nPerformance:\n Mass: 144.53 kg\n Factor of Safety: 0.70\n Max Deflection: 1.69e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 144.53064687787008, + "fos_buckling": 0.7032214082808411, + "fos_yielding": 3.883521284933675, + "deflection": 0.01689745622364213, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1379": { + "node_id": "node_1379", + "content": "MODIFICATION: Increase 14 thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0054)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0041)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0039)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0042)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0057)]\n\nPerformance:\n Mass: 145.77 kg\n Factor of Safety: 0.70\n Max Deflection: 1.68e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 145.7706277514642, + "fos_buckling": 0.700620122731338, + "fos_yielding": 3.883521284933675, + "deflection": 0.01681722284966893, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.188)" + }, + "parent_node_id": "node_1378", + "improvement_over_parent": null + }, + "node_1380": { + "node_id": "node_1380", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n\nPerformance:\n Mass: 164.66 kg\n Factor of Safety: 0.78\n Max Deflection: 1.49e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.6618307600343, + "fos_buckling": 0.7787091192329274, + "fos_yielding": 4.3864205334139195, + "deflection": 0.0149143866000268, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.140)" + }, + "parent_node_id": "node_1379", + "improvement_over_parent": null + }, + "node_1381": { + "node_id": "node_1381", + "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n\nPerformance:\n Mass: 167.31 kg\n Factor of Safety: 1.01\n Max Deflection: 1.39e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 167.3074998620954, + "fos_buckling": 1.0138292023908528, + "fos_yielding": 4.3864205334139195, + "deflection": 0.01389955320784579, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003487)" + }, + "parent_node_id": "node_1380", + "improvement_over_parent": null + }, + "node_1382": { + "node_id": "node_1382", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n\nPerformance:\n Mass: 173.92 kg\n Factor of Safety: 1.34\n Max Deflection: 1.32e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.91649033253208, + "fos_buckling": 1.3385591060017736, + "fos_yielding": 4.112729507788448, + "deflection": 0.013154790569949571, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003956)" + }, + "parent_node_id": "node_1381", + "improvement_over_parent": null + }, + "node_1383": { + "node_id": "node_1383", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n Mass: 204.79 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.79062562263664, + "fos_buckling": 1.5308835423974179, + "fos_yielding": 4.838829763553668, + "deflection": 0.01122194816069046, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.195)" + }, + "parent_node_id": "node_1382", + "improvement_over_parent": null + }, + "node_1384": { + "node_id": "node_1384", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1383", + "improvement_over_parent": null + }, + "node_1385": { + "node_id": "node_1385", + "content": "INITIAL DESIGN (Trace 198)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0009)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n\nPerformance:\n Mass: 120.20 kg\n Factor of Safety: 0.25\n Max Deflection: 1.95e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 120.20052416555099, + "fos_buckling": 0.25003724726982557, + "fos_yielding": 2.76711336986581, + "deflection": 0.01950503900504145, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1386": { + "node_id": "node_1386", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0011)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n Mass: 143.49 kg\n Factor of Safety: 0.29\n Max Deflection: 1.64e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 143.48661620076638, + "fos_buckling": 0.2924720231868562, + "fos_yielding": 3.2992196161304363, + "deflection": 0.016378799244999995, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.208)" + }, + "parent_node_id": "node_1385", + "improvement_over_parent": null + }, + "node_1387": { + "node_id": "node_1387", + "content": "MODIFICATION: Increase 9 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n Mass: 143.60 kg\n Factor of Safety: 0.28\n Max Deflection: 1.64e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 143.59963004700472, + "fos_buckling": 0.2805882371913853, + "fos_yielding": 3.2991829009204885, + "deflection": 0.0163608486747654, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.225)" + }, + "parent_node_id": "node_1386", + "improvement_over_parent": null + }, + "node_1388": { + "node_id": "node_1388", + "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n\nPerformance:\n Mass: 152.69 kg\n Factor of Safety: 0.35\n Max Deflection: 1.81e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 152.69330681196226, + "fos_buckling": 0.35250869580264316, + "fos_yielding": 3.2977064308657833, + "deflection": 0.018057705410139225, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004469)" + }, + "parent_node_id": "node_1387", + "improvement_over_parent": null + }, + "node_1389": { + "node_id": "node_1389", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0057)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0066)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0051)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0051)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0045)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0057)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0070)]\n M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n\nPerformance:\n Mass: 174.05 kg\n Factor of Safety: 0.40\n Max Deflection: 1.59e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.0454823705277, + "fos_buckling": 0.3957536561472926, + "fos_yielding": 3.754740593119205, + "deflection": 0.015894870819614795, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.152)" + }, + "parent_node_id": "node_1388", + "improvement_over_parent": null + }, + "node_1390": { + "node_id": "node_1390", + "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0057)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0066)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0051)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0051)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0045)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0057)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0070)]\n M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0054)]\n\nPerformance:\n Mass: 185.41 kg\n Factor of Safety: 1.41\n Max Deflection: 1.23e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.41377931366782, + "fos_buckling": 1.4138095374978086, + "fos_yielding": 4.3838968752740115, + "deflection": 0.01233615015313508, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.005390)" + }, + "parent_node_id": "node_1389", + "improvement_over_parent": null + }, + "node_1391": { + "node_id": "node_1391", + "content": "MODIFICATION: Increase 9 thickness by 43%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0057)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0066)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0051)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0023)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0051)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0045)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0057)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0070)]\n M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0054)]\n\nPerformance:\n Mass: 185.70 kg\n Factor of Safety: 1.41\n Max Deflection: 1.23e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.7030616541385, + "fos_buckling": 1.4136852581653818, + "fos_yielding": 4.390283129168971, + "deflection": 0.012340732608278253, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.429)" + }, + "parent_node_id": "node_1390", + "improvement_over_parent": null + }, + "node_1392": { + "node_id": "node_1392", + "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 204.96 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.9634812273536, + "fos_buckling": 1.5320428262000005, + "fos_yielding": 4.843124910183113, + "deflection": 0.01121247047194003, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.114)" + }, + "parent_node_id": "node_1391", + "improvement_over_parent": null + }, + "node_1393": { + "node_id": "node_1393", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1392", + "improvement_over_parent": null + }, + "node_1394": { + "node_id": "node_1394", + "content": "INITIAL DESIGN (Trace 199)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0030)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0057)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0066)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0051)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0054)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0045)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n\nPerformance:\n Mass: 149.84 kg\n Factor of Safety: 0.17\n Max Deflection: 5.47e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 149.83582389691432, + "fos_buckling": 0.17332023729565638, + "fos_yielding": 0.9157351654756415, + "deflection": 0.05465651337461386, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1395": { + "node_id": "node_1395", + "content": "MODIFICATION: Increase 17 thickness by 51%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0030)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0057)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0066)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0051)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0054)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0045)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0057)]\n\nPerformance:\n Mass: 153.83 kg\n Factor of Safety: 0.17\n Max Deflection: 5.22e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 153.83455136596936, + "fos_buckling": 0.17333997239084664, + "fos_yielding": 0.9157927508909496, + "deflection": 0.052186832117922646, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.506)" + }, + "parent_node_id": "node_1394", + "improvement_over_parent": null + }, + "node_1396": { + "node_id": "node_1396", + "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0030)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0057)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0066)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0051)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0054)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0045)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0057)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n\nPerformance:\n Mass: 172.72 kg\n Factor of Safety: 0.82\n Max Deflection: 1.43e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.71778664364328, + "fos_buckling": 0.822322693051588, + "fos_yielding": 4.67634211772876, + "deflection": 0.014306860434466766, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.006943)" + }, + "parent_node_id": "node_1395", + "improvement_over_parent": null + }, + "node_1397": { + "node_id": "node_1397", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0030)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0057)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0066)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0051)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0054)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0045)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0057)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n\nPerformance:\n Mass: 179.77 kg\n Factor of Safety: 0.83\n Max Deflection: 1.38e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.76616275254509, + "fos_buckling": 0.828240458193149, + "fos_yielding": 4.340854252708168, + "deflection": 0.013803442671217263, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004242)" + }, + "parent_node_id": "node_1396", + "improvement_over_parent": null + }, + "node_1398": { + "node_id": "node_1398", + "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n Mass: 198.60 kg\n Factor of Safety: 0.90\n Max Deflection: 1.25e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.59662152541796, + "fos_buckling": 0.9002570773078401, + "fos_yielding": 4.793023440874906, + "deflection": 0.012515499571295429, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.115)" + }, + "parent_node_id": "node_1397", + "improvement_over_parent": null + }, + "node_1399": { + "node_id": "node_1399", + "content": "MODIFICATION: Increase 0 thickness by 62%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n Mass: 201.69 kg\n Factor of Safety: 0.90\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.693222939438, + "fos_buckling": 0.8992285701604532, + "fos_yielding": 4.855803853239076, + "deflection": 0.012396303132684047, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.623)" + }, + "parent_node_id": "node_1398", + "improvement_over_parent": null + }, + "node_1400": { + "node_id": "node_1400", + "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n Mass: 204.81 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.8086008391584, + "fos_buckling": 1.5310722838348838, + "fos_yielding": 4.839439914435628, + "deflection": 0.011220991335770368, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)" + }, + "parent_node_id": "node_1399", + "improvement_over_parent": null + }, + "node_1401": { + "node_id": "node_1401", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1400", + "improvement_over_parent": null + }, + "node_1402": { + "node_id": "node_1402", + "content": "INITIAL DESIGN (Trace 200)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0022)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0026)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0030)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0029)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0017)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0027)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0029)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0023)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0024)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0010)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0008)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0017)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0022)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0025)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0020)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0022)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0023)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0024)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0021)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0026)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0032)]\n\nPerformance:\n Mass: 89.14 kg\n Factor of Safety: 0.74\n Max Deflection: 2.53e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 89.13710449188987, + "fos_buckling": 0.7406965205434852, + "fos_yielding": 2.1127239303671748, + "deflection": 0.025348912545128263, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1403": { + "node_id": "node_1403", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0028)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0038)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0036)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0022)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0034)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0037)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0029)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0030)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0022)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0028)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0031)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0024)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0027)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0029)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0030)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0026)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0040)]\n\nPerformance:\n Mass: 110.68 kg\n Factor of Safety: 0.90\n Max Deflection: 2.05e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 110.68058299201387, + "fos_buckling": 0.9023971390266465, + "fos_yielding": 2.621829056681711, + "deflection": 0.020479885743270105, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.253)" + }, + "parent_node_id": "node_1402", + "improvement_over_parent": null + }, + "node_1404": { + "node_id": "node_1404", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n\nPerformance:\n Mass: 138.13 kg\n Factor of Safety: 1.10\n Max Deflection: 1.65e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 138.13098193166124, + "fos_buckling": 1.098768093569406, + "fos_yielding": 3.2696709405258995, + "deflection": 0.01647636188104934, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.263)" + }, + "parent_node_id": "node_1403", + "improvement_over_parent": null + }, + "node_1405": { + "node_id": "node_1405", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n\nPerformance:\n Mass: 180.59 kg\n Factor of Safety: 1.38\n Max Deflection: 1.27e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.59300663959914, + "fos_buckling": 1.38133900828431, + "fos_yielding": 4.269916343803327, + "deflection": 0.012680897071336397, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.333)" + }, + "parent_node_id": "node_1404", + "improvement_over_parent": null + }, + "node_1406": { + "node_id": "node_1406", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.75 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.75385771561037, + "fos_buckling": 1.5307141309425039, + "fos_yielding": 4.838039457495413, + "deflection": 0.011223977742735937, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.147)" + }, + "parent_node_id": "node_1405", + "improvement_over_parent": null + }, + "node_1407": { + "node_id": "node_1407", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1406", + "improvement_over_parent": null + }, + "node_1408": { + "node_id": "node_1408", + "content": "INITIAL DESIGN (Trace 201)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0049)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0046)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0030)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0040)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n\nPerformance:\n Mass: 111.20 kg\n Factor of Safety: 0.20\n Max Deflection: 5.66e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 111.2005375491404, + "fos_buckling": 0.2024176374054745, + "fos_yielding": 0.9190150991850841, + "deflection": 0.0566389251790467, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1409": { + "node_id": "node_1409", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0036)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n\nPerformance:\n Mass: 133.66 kg\n Factor of Safety: 0.24\n Max Deflection: 4.72e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 133.66314456710873, + "fos_buckling": 0.23660816065297663, + "fos_yielding": 1.1017270470108023, + "deflection": 0.047242602483347024, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.217)" + }, + "parent_node_id": "node_1408", + "improvement_over_parent": null + }, + "node_1410": { + "node_id": "node_1410", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n\nPerformance:\n Mass: 162.48 kg\n Factor of Safety: 0.28\n Max Deflection: 3.90e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.47908463593896, + "fos_buckling": 0.2772683345851663, + "fos_yielding": 1.3347191656517727, + "deflection": 0.03899216059696347, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.236)" + }, + "parent_node_id": "node_1409", + "improvement_over_parent": null + }, + "node_1411": { + "node_id": "node_1411", + "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 183.33 kg\n Factor of Safety: 0.28\n Max Deflection: 3.50e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.32729612491747, + "fos_buckling": 0.27678430457120035, + "fos_yielding": 1.3323564476711245, + "deflection": 0.035003931519064384, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.007737)" + }, + "parent_node_id": "node_1410", + "improvement_over_parent": null + }, + "node_1412": { + "node_id": "node_1412", + "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 198.51 kg\n Factor of Safety: 1.22\n Max Deflection: 1.20e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.51185013981888, + "fos_buckling": 1.2235027505373046, + "fos_yielding": 4.829591235202058, + "deflection": 0.011989585762388701, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)" + }, + "parent_node_id": "node_1411", + "improvement_over_parent": null + }, + "node_1413": { + "node_id": "node_1413", + "content": "MODIFICATION: Increase 5 thickness by 45%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 202.16 kg\n Factor of Safety: 1.49\n Max Deflection: 1.13e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.1640844520222, + "fos_buckling": 1.4932155411458952, + "fos_yielding": 4.839251912832355, + "deflection": 0.01129369480525844, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.453)" + }, + "parent_node_id": "node_1412", + "improvement_over_parent": null + }, + "node_1414": { + "node_id": "node_1414", + "content": "MODIFICATION: Increase 19 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0097)]\n M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 206.89 kg\n Factor of Safety: 1.57\n Max Deflection: 1.11e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 206.89180767838548, + "fos_buckling": 1.572833585580384, + "fos_yielding": 4.838927380332178, + "deflection": 0.011100877828686594, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(19, thickness, 1.256)" + }, + "parent_node_id": "node_1413", + "improvement_over_parent": null + }, + "node_1415": { + "node_id": "node_1415", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1414", + "improvement_over_parent": null + }, + "node_1416": { + "node_id": "node_1416", + "content": "INITIAL DESIGN (Trace 202)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0026)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0031)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0036)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0034)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0021)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0032)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0035)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0028)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0012)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0021)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0027)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0030)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0023)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0026)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0028)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0028)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0031)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0038)]\n\nPerformance:\n Mass: 96.01 kg\n Factor of Safety: 0.57\n Max Deflection: 2.47e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 96.00788371684499, + "fos_buckling": 0.5668217379324807, + "fos_yielding": 2.5370563302965246, + "deflection": 0.02473831843149408, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1417": { + "node_id": "node_1417", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0030)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0041)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0038)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0036)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0032)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0023)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0030)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0033)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0026)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0029)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0031)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0032)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0043)]\n\nPerformance:\n Mass: 107.88 kg\n Factor of Safety: 0.63\n Max Deflection: 2.20e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 107.88377023991202, + "fos_buckling": 0.6307419136966261, + "fos_yielding": 2.8498871242799546, + "deflection": 0.022041334251830753, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.130)" + }, + "parent_node_id": "node_1416", + "improvement_over_parent": null + }, + "node_1418": { + "node_id": "node_1418", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n\nPerformance:\n Mass: 125.38 kg\n Factor of Safety: 0.72\n Max Deflection: 1.90e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 125.37943703932065, + "fos_buckling": 0.7224022992443044, + "fos_yielding": 3.310354581909358, + "deflection": 0.018998884319395906, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.172)" + }, + "parent_node_id": "node_1417", + "improvement_over_parent": null + }, + "node_1419": { + "node_id": "node_1419", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n Mass: 153.78 kg\n Factor of Safety: 0.86\n Max Deflection: 1.55e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 153.7789359858925, + "fos_buckling": 0.8648010671766783, + "fos_yielding": 4.056792137795451, + "deflection": 0.015534206285651773, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.244)" + }, + "parent_node_id": "node_1418", + "improvement_over_parent": null + }, + "node_1420": { + "node_id": "node_1420", + "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n\nPerformance:\n Mass: 160.90 kg\n Factor of Safety: 0.94\n Max Deflection: 1.49e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 160.90440753308167, + "fos_buckling": 0.9354137613132297, + "fos_yielding": 4.004434745659169, + "deflection": 0.014940587173496467, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004046)" + }, + "parent_node_id": "node_1419", + "improvement_over_parent": null + }, + "node_1421": { + "node_id": "node_1421", + "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n\nPerformance:\n Mass: 168.74 kg\n Factor of Safety: 1.31\n Max Deflection: 1.36e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 168.73604520552513, + "fos_buckling": 1.3072782747228513, + "fos_yielding": 4.008065508690908, + "deflection": 0.013645754345447611, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.004582)" + }, + "parent_node_id": "node_1420", + "improvement_over_parent": null + }, + "node_1422": { + "node_id": "node_1422", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n Mass: 203.92 kg\n Factor of Safety: 1.53\n Max Deflection: 1.13e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 203.92355253405825, + "fos_buckling": 1.528191828829252, + "fos_yielding": 4.839314789025173, + "deflection": 0.011348057612931216, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.229)" + }, + "parent_node_id": "node_1421", + "improvement_over_parent": null + }, + "node_1423": { + "node_id": "node_1423", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n Mass: 204.64 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.6396843605319, + "fos_buckling": 1.5300395094528825, + "fos_yielding": 4.835175723155061, + "deflection": 0.011230383511195983, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)" + }, + "parent_node_id": "node_1422", + "improvement_over_parent": null + }, + "node_1424": { + "node_id": "node_1424", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1423", + "improvement_over_parent": null + }, + "node_1425": { + "node_id": "node_1425", + "content": "INITIAL DESIGN (Trace 203)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n Mass: 192.58 kg\n Factor of Safety: 1.16\n Max Deflection: 1.21e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.577867568759, + "fos_buckling": 1.1550751175780025, + "fos_yielding": 5.1612144939627695, + "deflection": 0.012137652793105158, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1426": { + "node_id": "node_1426", + "content": "MODIFICATION: Increase 14 thickness by 41%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n Mass: 195.16 kg\n Factor of Safety: 1.15\n Max Deflection: 1.21e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.15590956809243, + "fos_buckling": 1.15384907001579, + "fos_yielding": 5.1612144939627695, + "deflection": 0.012098855752863602, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.408)" + }, + "parent_node_id": "node_1425", + "improvement_over_parent": null + }, + "node_1427": { + "node_id": "node_1427", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 200.46 kg\n Factor of Safety: 1.33\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.46395504508692, + "fos_buckling": 1.3266837610289965, + "fos_yielding": 4.837154105294052, + "deflection": 0.011458558409529846, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)" + }, + "parent_node_id": "node_1426", + "improvement_over_parent": null + }, + "node_1428": { + "node_id": "node_1428", + "content": "MODIFICATION: Increase 20 thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0054)]\n\nPerformance:\n Mass: 201.77 kg\n Factor of Safety: 1.33\n Max Deflection: 1.14e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.77269883081226, + "fos_buckling": 1.3266135533903312, + "fos_yielding": 4.822109001834393, + "deflection": 0.011428844704143072, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(20, thickness, 1.279)" + }, + "parent_node_id": "node_1427", + "improvement_over_parent": null + }, + "node_1429": { + "node_id": "node_1429", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1428", + "improvement_over_parent": null + }, + "node_1430": { + "node_id": "node_1430", + "content": "INITIAL DESIGN (Trace 204)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0031)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0026)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0040)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0033)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0031)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0035)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0030)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0029)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0045)]\n\nPerformance:\n Mass: 104.75 kg\n Factor of Safety: 0.22\n Max Deflection: 4.56e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 104.75180651508734, + "fos_buckling": 0.21987810727704482, + "fos_yielding": 1.5561990357782778, + "deflection": 0.04561474470676244, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1431": { + "node_id": "node_1431", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0031)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0026)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0040)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0033)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0031)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0035)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0030)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0029)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0045)]\n M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0037)]\n\nPerformance:\n Mass: 112.23 kg\n Factor of Safety: 0.16\n Max Deflection: 2.03e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 112.2342855353374, + "fos_buckling": 0.1575886522740712, + "fos_yielding": 2.89216335941936, + "deflection": 0.02025260158546496, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.003732)" + }, + "parent_node_id": "node_1430", + "improvement_over_parent": null + }, + "node_1432": { + "node_id": "node_1432", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0031)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0054)]\n M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n\nPerformance:\n Mass: 134.50 kg\n Factor of Safety: 0.19\n Max Deflection: 1.69e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 134.4978789086064, + "fos_buckling": 0.1851350700093319, + "fos_yielding": 3.4629962858719114, + "deflection": 0.016928698083031386, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.211)" + }, + "parent_node_id": "node_1431", + "improvement_over_parent": null + }, + "node_1433": { + "node_id": "node_1433", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0037)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n\nPerformance:\n Mass: 155.99 kg\n Factor of Safety: 0.21\n Max Deflection: 1.46e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 155.99113116030256, + "fos_buckling": 0.21056036168450323, + "fos_yielding": 4.013139061764466, + "deflection": 0.014619750647302063, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.172)" + }, + "parent_node_id": "node_1432", + "improvement_over_parent": null + }, + "node_1434": { + "node_id": "node_1434", + "content": "MODIFICATION: Increase 2 thickness by 63%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n\nPerformance:\n Mass: 160.90 kg\n Factor of Safety: 0.21\n Max Deflection: 1.39e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 160.89529486846365, + "fos_buckling": 0.2109272716915885, + "fos_yielding": 4.012736491407712, + "deflection": 0.013923513219951394, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.626)" + }, + "parent_node_id": "node_1433", + "improvement_over_parent": null + }, + "node_1435": { + "node_id": "node_1435", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n Mass: 193.27 kg\n Factor of Safety: 0.25\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.27295772434246, + "fos_buckling": 0.24621253590388334, + "fos_yielding": 4.816063167781625, + "deflection": 0.011624190774002825, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.221)" + }, + "parent_node_id": "node_1434", + "improvement_over_parent": null + }, + "node_1436": { + "node_id": "node_1436", + "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.7001578903821, + "fos_buckling": 1.5303384725573532, + "fos_yielding": 4.836542444394736, + "deflection": 0.011226420055268409, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.005728)" + }, + "parent_node_id": "node_1435", + "improvement_over_parent": null + }, + "node_1437": { + "node_id": "node_1437", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1436", + "improvement_over_parent": null + }, + "node_1438": { + "node_id": "node_1438", + "content": "INITIAL DESIGN (Trace 205)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0031)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0042)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0040)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0037)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0033)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0022)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0030)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0033)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0044)]\n\nPerformance:\n Mass: 105.28 kg\n Factor of Safety: 0.29\n Max Deflection: 2.57e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 105.28495702074464, + "fos_buckling": 0.29118887470337435, + "fos_yielding": 2.4713290057951065, + "deflection": 0.025735430211398316, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1439": { + "node_id": "node_1439", + "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0031)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0042)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0040)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0037)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0033)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0022)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0030)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0033)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0044)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n\nPerformance:\n Mass: 113.55 kg\n Factor of Safety: 0.29\n Max Deflection: 2.40e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 113.55001736995467, + "fos_buckling": 0.2909869224628718, + "fos_yielding": 2.4616809192242597, + "deflection": 0.023978506585724212, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.003618)" + }, + "parent_node_id": "node_1438", + "improvement_over_parent": null + }, + "node_1440": { + "node_id": "node_1440", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0029)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n\nPerformance:\n Mass: 145.83 kg\n Factor of Safety: 0.36\n Max Deflection: 1.88e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 145.82500151412071, + "fos_buckling": 0.3603946450450474, + "fos_yielding": 3.1678314651040034, + "deflection": 0.01876729416489101, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.304)" + }, + "parent_node_id": "node_1439", + "improvement_over_parent": null + }, + "node_1441": { + "node_id": "node_1441", + "content": "MODIFICATION: Increase 12 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n\nPerformance:\n Mass: 146.89 kg\n Factor of Safety: 0.36\n Max Deflection: 1.86e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 146.8891141984172, + "fos_buckling": 0.36039464504504753, + "fos_yielding": 3.1678314651040043, + "deflection": 0.018648498902509025, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.393)" + }, + "parent_node_id": "node_1440", + "improvement_over_parent": null + }, + "node_1442": { + "node_id": "node_1442", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n\nPerformance:\n Mass: 171.12 kg\n Factor of Safety: 0.41\n Max Deflection: 1.61e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.12375337330724, + "fos_buckling": 0.4084749086803463, + "fos_yielding": 3.6859554722681156, + "deflection": 0.016068934626983666, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.179)" + }, + "parent_node_id": "node_1441", + "improvement_over_parent": null + }, + "node_1443": { + "node_id": "node_1443", + "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n\nPerformance:\n Mass: 182.30 kg\n Factor of Safety: 1.39\n Max Deflection: 1.26e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.3017745335387, + "fos_buckling": 1.3921589999437558, + "fos_yielding": 4.309913997843876, + "deflection": 0.012565312389839383, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.005292)" + }, + "parent_node_id": "node_1442", + "improvement_over_parent": null + }, + "node_1444": { + "node_id": "node_1444", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 204.54 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.53516396245655, + "fos_buckling": 1.5293850061839243, + "fos_yielding": 4.832671873533064, + "deflection": 0.011235748722001615, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.134)" + }, + "parent_node_id": "node_1443", + "improvement_over_parent": null + }, + "node_1445": { + "node_id": "node_1445", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1444", + "improvement_over_parent": null + }, + "node_1446": { + "node_id": "node_1446", + "content": "INITIAL DESIGN (Trace 206)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0026)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0022)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0036)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0034)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0013)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0032)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0017)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0027)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0028)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0012)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0020)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0026)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0029)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0023)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0026)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0027)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0028)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0024)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0031)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0038)]\n\nPerformance:\n Mass: 98.00 kg\n Factor of Safety: 0.52\n Max Deflection: 2.64e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 97.99687696408556, + "fos_buckling": 0.516185126251983, + "fos_yielding": 2.437273268161254, + "deflection": 0.026443098885169925, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1447": { + "node_id": "node_1447", + "content": "MODIFICATION: Increase 6 thickness by 56%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0026)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0022)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0036)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0034)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0013)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0032)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0027)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0027)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0028)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0012)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0020)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0026)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0029)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0023)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0026)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0027)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0028)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0024)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0031)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0038)]\n\nPerformance:\n Mass: 100.11 kg\n Factor of Safety: 0.73\n Max Deflection: 2.39e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 100.11073518766274, + "fos_buckling": 0.7304743846193106, + "fos_yielding": 2.498714232519633, + "deflection": 0.02388284204320273, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.560)" + }, + "parent_node_id": "node_1446", + "improvement_over_parent": null + }, + "node_1448": { + "node_id": "node_1448", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0028)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0018)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0035)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n\nPerformance:\n Mass: 128.92 kg\n Factor of Safety: 0.92\n Max Deflection: 1.86e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 128.91946828589062, + "fos_buckling": 0.92180502193539, + "fos_yielding": 3.213782522285327, + "deflection": 0.01860981987822052, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.304)" + }, + "parent_node_id": "node_1447", + "improvement_over_parent": null + }, + "node_1449": { + "node_id": "node_1449", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0023)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n\nPerformance:\n Mass: 164.76 kg\n Factor of Safety: 1.15\n Max Deflection: 1.46e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.75919697524745, + "fos_buckling": 1.1481526362098293, + "fos_yielding": 4.100713624418079, + "deflection": 0.014622992057571888, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.299)" + }, + "parent_node_id": "node_1448", + "improvement_over_parent": null + }, + "node_1450": { + "node_id": "node_1450", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 196.52 kg\n Factor of Safety: 1.34\n Max Deflection: 1.23e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.51811632081655, + "fos_buckling": 1.3379468521814954, + "fos_yielding": 4.884080805695357, + "deflection": 0.012304599749157156, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.211)" + }, + "parent_node_id": "node_1449", + "improvement_over_parent": null + }, + "node_1451": { + "node_id": "node_1451", + "content": "MODIFICATION: Increase 6 thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 199.80 kg\n Factor of Safety: 1.37\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.79620171898947, + "fos_buckling": 1.3663829548885194, + "fos_yielding": 4.881922698048034, + "deflection": 0.011739240573815247, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.302)" + }, + "parent_node_id": "node_1450", + "improvement_over_parent": null + }, + "node_1452": { + "node_id": "node_1452", + "content": "MODIFICATION: Increase 1 thickness by 43%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 203.16 kg\n Factor of Safety: 1.32\n Max Deflection: 1.13e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.15749563369556, + "fos_buckling": 1.322233278042439, + "fos_yielding": 4.873013480693482, + "deflection": 0.011280693486765523, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.431)" + }, + "parent_node_id": "node_1451", + "improvement_over_parent": null + }, + "node_1453": { + "node_id": "node_1453", + "content": "MODIFICATION: Increase 4 thickness by 53%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.89 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.8895905966596, + "fos_buckling": 1.5315973999778438, + "fos_yielding": 4.841518737819505, + "deflection": 0.011217207630384633, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.531)" + }, + "parent_node_id": "node_1452", + "improvement_over_parent": null + }, + "node_1454": { + "node_id": "node_1454", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1453", + "improvement_over_parent": null + }, + "node_1455": { + "node_id": "node_1455", + "content": "INITIAL DESIGN (Trace 207)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0009)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n\nPerformance:\n Mass: 155.72 kg\n Factor of Safety: 1.22\n Max Deflection: 1.47e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 155.72370931460338, + "fos_buckling": 1.2200422364275705, + "fos_yielding": 3.6897195961018516, + "deflection": 0.014662531919571405, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1456": { + "node_id": "node_1456", + "content": "MODIFICATION: Increase 10 thickness by 63%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n\nPerformance:\n Mass: 155.93 kg\n Factor of Safety: 1.22\n Max Deflection: 1.46e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 155.92574363894772, + "fos_buckling": 1.2203086378862245, + "fos_yielding": 3.6891257366665, + "deflection": 0.014634150066501957, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.629)" + }, + "parent_node_id": "node_1455", + "improvement_over_parent": null + }, + "node_1457": { + "node_id": "node_1457", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n\nPerformance:\n Mass: 180.10 kg\n Factor of Safety: 1.38\n Max Deflection: 1.27e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.09766094803555, + "fos_buckling": 1.3781902206877565, + "fos_yielding": 4.258260897689062, + "deflection": 0.012714856093749458, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.168)" + }, + "parent_node_id": "node_1456", + "improvement_over_parent": null + }, + "node_1458": { + "node_id": "node_1458", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.85 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.84722041119278, + "fos_buckling": 1.5312753610189682, + "fos_yielding": 4.840233278635229, + "deflection": 0.01121901444475229, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.151)" + }, + "parent_node_id": "node_1457", + "improvement_over_parent": null + }, + "node_1459": { + "node_id": "node_1459", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1458", + "improvement_over_parent": null + }, + "node_1460": { + "node_id": "node_1460", + "content": "INITIAL DESIGN (Trace 208)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0034)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n Mass: 175.66 kg\n Factor of Safety: 1.20\n Max Deflection: 1.40e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.66158985461047, + "fos_buckling": 1.200157150183011, + "fos_yielding": 4.333761928237849, + "deflection": 0.013972913112217735, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1461": { + "node_id": "node_1461", + "content": "MODIFICATION: Increase 6 thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0034)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n Mass: 178.79 kg\n Factor of Safety: 1.36\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.78839561831575, + "fos_buckling": 1.3633142485874523, + "fos_yielding": 4.331553083007292, + "deflection": 0.013314962744741806, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.325)" + }, + "parent_node_id": "node_1460", + "improvement_over_parent": null + }, + "node_1462": { + "node_id": "node_1462", + "content": "MODIFICATION: Increase 1 thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n Mass: 180.30 kg\n Factor of Safety: 1.40\n Max Deflection: 1.29e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.30101666365346, + "fos_buckling": 1.395473956323491, + "fos_yielding": 4.3255639398821675, + "deflection": 0.012924058119350426, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.239)" + }, + "parent_node_id": "node_1461", + "improvement_over_parent": null + }, + "node_1463": { + "node_id": "node_1463", + "content": "MODIFICATION: Increase 1 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n Mass: 182.69 kg\n Factor of Safety: 1.39\n Max Deflection: 1.25e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.68555998090272, + "fos_buckling": 1.394572917641822, + "fos_yielding": 4.319081662061675, + "deflection": 0.012538815145197701, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.314)" + }, + "parent_node_id": "node_1462", + "improvement_over_parent": null + }, + "node_1464": { + "node_id": "node_1464", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.80 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.7960182523031, + "fos_buckling": 1.530936100779563, + "fos_yielding": 4.838954512656136, + "deflection": 0.011221157133423153, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.133)" + }, + "parent_node_id": "node_1463", + "improvement_over_parent": null + }, + "node_1465": { + "node_id": "node_1465", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1464", + "improvement_over_parent": null + }, + "node_1466": { + "node_id": "node_1466", + "content": "INITIAL DESIGN (Trace 209)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n Mass: 154.67 kg\n Factor of Safety: 0.95\n Max Deflection: 1.52e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 154.6695108292305, + "fos_buckling": 0.9509335730038058, + "fos_yielding": 3.4811785754487423, + "deflection": 0.015243125007199975, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1467": { + "node_id": "node_1467", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 196.85 kg\n Factor of Safety: 1.15\n Max Deflection: 1.21e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.84997171546303, + "fos_buckling": 1.1540743775004394, + "fos_yielding": 4.443150839797584, + "deflection": 0.012055105213038974, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.299)" + }, + "parent_node_id": "node_1466", + "improvement_over_parent": null + }, + "node_1468": { + "node_id": "node_1468", + "content": "MODIFICATION: Increase 7 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 197.66 kg\n Factor of Safety: 1.15\n Max Deflection: 1.21e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.66238425885467, + "fos_buckling": 1.1540743775004394, + "fos_yielding": 5.162740001910645, + "deflection": 0.012055105213038974, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.178)" + }, + "parent_node_id": "node_1467", + "improvement_over_parent": null + }, + "node_1469": { + "node_id": "node_1469", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 202.97 kg\n Factor of Safety: 1.53\n Max Deflection: 1.14e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 202.97042973584917, + "fos_buckling": 1.530762791205862, + "fos_yielding": 4.842428246197046, + "deflection": 0.011428431722132183, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)" + }, + "parent_node_id": "node_1468", + "improvement_over_parent": null + }, + "node_1470": { + "node_id": "node_1470", + "content": "MODIFICATION: Increase 1 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 204.66 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.6622360432147, + "fos_buckling": 1.5301538292949195, + "fos_yielding": 4.838145480076399, + "deflection": 0.011229016442713865, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.182)" + }, + "parent_node_id": "node_1469", + "improvement_over_parent": null + }, + "node_1471": { + "node_id": "node_1471", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1470", + "improvement_over_parent": null + }, + "node_1472": { + "node_id": "node_1472", + "content": "INITIAL DESIGN (Trace 210)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0027)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0019)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0026)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n\nPerformance:\n Mass: 125.68 kg\n Factor of Safety: 0.49\n Max Deflection: 2.25e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 125.68414522727248, + "fos_buckling": 0.48978648344948184, + "fos_yielding": 2.334748156299606, + "deflection": 0.02253366545149802, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1473": { + "node_id": "node_1473", + "content": "MODIFICATION: Increase 8 thickness by 42%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0027)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0019)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n\nPerformance:\n Mass: 126.80 kg\n Factor of Safety: 0.49\n Max Deflection: 2.23e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 126.79731629889544, + "fos_buckling": 0.48978648344948167, + "fos_yielding": 3.228186410418631, + "deflection": 0.022338555119439208, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.420)" + }, + "parent_node_id": "node_1472", + "improvement_over_parent": null + }, + "node_1474": { + "node_id": "node_1474", + "content": "MODIFICATION: Increase 1 thickness by 51%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0019)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n\nPerformance:\n Mass: 129.41 kg\n Factor of Safety: 0.49\n Max Deflection: 2.04e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 129.4077644595465, + "fos_buckling": 0.4896777394832173, + "fos_yielding": 3.2278531107387276, + "deflection": 0.02041471702021333, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.511)" + }, + "parent_node_id": "node_1473", + "improvement_over_parent": null + }, + "node_1475": { + "node_id": "node_1475", + "content": "MODIFICATION: Increase 4 thickness by 47%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n\nPerformance:\n Mass: 130.51 kg\n Factor of Safety: 0.49\n Max Deflection: 2.03e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 130.50830673478941, + "fos_buckling": 0.4897235791070162, + "fos_yielding": 3.2044321030315275, + "deflection": 0.020269975112030113, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.471)" + }, + "parent_node_id": "node_1474", + "improvement_over_parent": null + }, + "node_1476": { + "node_id": "node_1476", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n\nPerformance:\n Mass: 165.19 kg\n Factor of Safety: 0.60\n Max Deflection: 1.61e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.18903613678737, + "fos_buckling": 0.5989628564790352, + "fos_yielding": 4.05210399274692, + "deflection": 0.016087944311940744, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.287)" + }, + "parent_node_id": "node_1475", + "improvement_over_parent": null + }, + "node_1477": { + "node_id": "node_1477", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n M20: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n\nPerformance:\n Mass: 174.58 kg\n Factor of Safety: 1.34\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.58200209336718, + "fos_buckling": 1.342903346584538, + "fos_yielding": 4.126267891523416, + "deflection": 0.013105887293300901, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.004727)" + }, + "parent_node_id": "node_1476", + "improvement_over_parent": null + }, + "node_1478": { + "node_id": "node_1478", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n\nPerformance:\n Mass: 204.62 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.6224339466034, + "fos_buckling": 1.5299338077847353, + "fos_yielding": 4.832429026188986, + "deflection": 0.011230869383290694, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.189)" + }, + "parent_node_id": "node_1477", + "improvement_over_parent": null + }, + "node_1479": { + "node_id": "node_1479", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1478", + "improvement_over_parent": null + }, + "node_1480": { + "node_id": "node_1480", + "content": "INITIAL DESIGN (Trace 211)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0042)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 172.68 kg\n Factor of Safety: 0.34\n Max Deflection: 2.99e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.67780346841997, + "fos_buckling": 0.3378046407338364, + "fos_yielding": 2.0617654463397694, + "deflection": 0.02994124507263957, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1481": { + "node_id": "node_1481", + "content": "MODIFICATION: Increase 0 thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0042)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 174.44 kg\n Factor of Safety: 0.34\n Max Deflection: 2.99e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.43894237943394, + "fos_buckling": 0.33775484100015046, + "fos_yielding": 2.061322005829504, + "deflection": 0.029947904075708343, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.285)" + }, + "parent_node_id": "node_1480", + "improvement_over_parent": null + }, + "node_1482": { + "node_id": "node_1482", + "content": "MODIFICATION: Increase 3 thickness by 64%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 179.67 kg\n Factor of Safety: 0.34\n Max Deflection: 2.95e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.66888476696113, + "fos_buckling": 0.3376070404006466, + "fos_yielding": 2.0771341140535204, + "deflection": 0.029516782762691502, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.639)" + }, + "parent_node_id": "node_1481", + "improvement_over_parent": null + }, + "node_1483": { + "node_id": "node_1483", + "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n\nPerformance:\n Mass: 189.21 kg\n Factor of Safety: 0.34\n Max Deflection: 2.82e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.2070044157818, + "fos_buckling": 0.3373378215223135, + "fos_yielding": 2.074703046927534, + "deflection": 0.028221220945749, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.004460)" + }, + "parent_node_id": "node_1482", + "improvement_over_parent": null + }, + "node_1484": { + "node_id": "node_1484", + "content": "MODIFICATION: Increase 12 thickness by 35%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0064)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n\nPerformance:\n Mass: 191.57 kg\n Factor of Safety: 0.34\n Max Deflection: 2.81e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.56988305133765, + "fos_buckling": 0.3372711942681239, + "fos_yielding": 2.074101677833917, + "deflection": 0.028073918107118317, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.346)" + }, + "parent_node_id": "node_1483", + "improvement_over_parent": null + }, + "node_1485": { + "node_id": "node_1485", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0064)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n Mass: 204.06 kg\n Factor of Safety: 1.36\n Max Deflection: 1.13e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.0576901283544, + "fos_buckling": 1.3566038477556852, + "fos_yielding": 4.768252341382207, + "deflection": 0.011337493592582206, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.006468)" + }, + "parent_node_id": "node_1484", + "improvement_over_parent": null + }, + "node_1486": { + "node_id": "node_1486", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1485", + "improvement_over_parent": null + }, + "node_1487": { + "node_id": "node_1487", + "content": "INITIAL DESIGN (Trace 212)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0030)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0041)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0039)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0018)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0036)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0032)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0023)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0030)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0029)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0032)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0044)]\n\nPerformance:\n Mass: 105.27 kg\n Factor of Safety: 0.23\n Max Deflection: 2.81e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 105.27384420051106, + "fos_buckling": 0.22646017132151666, + "fos_yielding": 2.430483904232747, + "deflection": 0.028104409484916486, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1488": { + "node_id": "node_1488", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0030)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0041)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0039)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0018)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0036)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0032)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0023)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0030)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0029)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0032)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0044)]\n M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n\nPerformance:\n Mass: 111.72 kg\n Factor of Safety: 0.23\n Max Deflection: 2.50e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 111.71950776064091, + "fos_buckling": 0.2258473595422708, + "fos_yielding": 2.4291962346279767, + "deflection": 0.025005684098718346, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.003165)" + }, + "parent_node_id": "node_1487", + "improvement_over_parent": null + }, + "node_1489": { + "node_id": "node_1489", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0054)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0042)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0057)]\n M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n\nPerformance:\n Mass: 144.24 kg\n Factor of Safety: 0.28\n Max Deflection: 1.95e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 144.23502852090542, + "fos_buckling": 0.28418245194748165, + "fos_yielding": 3.1308200393782943, + "deflection": 0.019461760267485872, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.311)" + }, + "parent_node_id": "node_1488", + "improvement_over_parent": null + }, + "node_1490": { + "node_id": "node_1490", + "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n\nPerformance:\n Mass: 159.22 kg\n Factor of Safety: 0.31\n Max Deflection: 1.77e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.21898182986806, + "fos_buckling": 0.3099698456604702, + "fos_yielding": 3.4533282767797724, + "deflection": 0.01766895682807362, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.112)" + }, + "parent_node_id": "node_1489", + "improvement_over_parent": null + }, + "node_1491": { + "node_id": "node_1491", + "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n\nPerformance:\n Mass: 169.67 kg\n Factor of Safety: 1.23\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.67116404883097, + "fos_buckling": 1.2347369896795126, + "fos_yielding": 4.052508330510653, + "deflection": 0.013446171251886588, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.004921)" + }, + "parent_node_id": "node_1490", + "improvement_over_parent": null + }, + "node_1492": { + "node_id": "node_1492", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 203.67 kg\n Factor of Safety: 1.44\n Max Deflection: 1.13e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.67419213678994, + "fos_buckling": 1.4374454322196952, + "fos_yielding": 4.859734585632874, + "deflection": 0.01125758981646351, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.220)" + }, + "parent_node_id": "node_1491", + "improvement_over_parent": null + }, + "node_1493": { + "node_id": "node_1493", + "content": "MODIFICATION: Increase 4 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 204.85 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.84889129358868, + "fos_buckling": 1.531320987093684, + "fos_yielding": 4.840437737127916, + "deflection": 0.01121879410284156, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.312)" + }, + "parent_node_id": "node_1492", + "improvement_over_parent": null + }, + "node_1494": { + "node_id": "node_1494", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1493", + "improvement_over_parent": null + }, + "node_1495": { + "node_id": "node_1495", + "content": "INITIAL DESIGN (Trace 213)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0025)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0030)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0035)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0033)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0020)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0031)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0034)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0027)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0027)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0012)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0009)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0020)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0025)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0028)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0022)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0025)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0027)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0027)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0024)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0022)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0037)]\n\nPerformance:\n Mass: 99.68 kg\n Factor of Safety: 0.80\n Max Deflection: 2.25e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 99.67864027196661, + "fos_buckling": 0.8040476681973862, + "fos_yielding": 2.4053121762527816, + "deflection": 0.022516408302176497, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1496": { + "node_id": "node_1496", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0031)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0043)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0040)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0038)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0033)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0031)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0035)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0028)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0033)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0034)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0029)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0027)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0045)]\n\nPerformance:\n Mass: 122.03 kg\n Factor of Safety: 0.96\n Max Deflection: 1.85e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 122.02611720579624, + "fos_buckling": 0.9647643115223302, + "fos_yielding": 2.942370605736684, + "deflection": 0.01845471552137837, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.236)" + }, + "parent_node_id": "node_1495", + "improvement_over_parent": null + }, + "node_1497": { + "node_id": "node_1497", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0043)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0030)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n\nPerformance:\n Mass: 136.30 kg\n Factor of Safety: 1.06\n Max Deflection: 1.66e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 136.2984339166002, + "fos_buckling": 1.063703066005804, + "fos_yielding": 3.284935590418376, + "deflection": 0.016557661188587754, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.124)" + }, + "parent_node_id": "node_1496", + "improvement_over_parent": null + }, + "node_1498": { + "node_id": "node_1498", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n Mass: 166.44 kg\n Factor of Safety: 1.26\n Max Deflection: 1.36e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.4434482406707, + "fos_buckling": 1.2632402403670149, + "fos_yielding": 4.00736460951434, + "deflection": 0.0136201452938038, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.238)" + }, + "parent_node_id": "node_1497", + "improvement_over_parent": null + }, + "node_1499": { + "node_id": "node_1499", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 201.20 kg\n Factor of Safety: 1.48\n Max Deflection: 1.13e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.2006404462995, + "fos_buckling": 1.4775196671466038, + "fos_yielding": 4.8384210147577225, + "deflection": 0.011325805407527877, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.229)" + }, + "parent_node_id": "node_1498", + "improvement_over_parent": null + }, + "node_1500": { + "node_id": "node_1500", + "content": "MODIFICATION: Increase 19 thickness by 38%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.76 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.76454356156148, + "fos_buckling": 1.5307316719820636, + "fos_yielding": 4.838456560804785, + "deflection": 0.011223198827456288, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(19, thickness, 1.379)" + }, + "parent_node_id": "node_1499", + "improvement_over_parent": null + }, + "node_1501": { + "node_id": "node_1501", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1500", + "improvement_over_parent": null + }, + "node_1502": { + "node_id": "node_1502", + "content": "INITIAL DESIGN (Trace 214)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n\nPerformance:\n Mass: 147.19 kg\n Factor of Safety: 0.25\n Max Deflection: 5.02e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 147.18527496305362, + "fos_buckling": 0.24831748936838555, + "fos_yielding": 0.765179727073502, + "deflection": 0.0501880284014786, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1503": { + "node_id": "node_1503", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n\nPerformance:\n Mass: 156.79 kg\n Factor of Safety: 0.25\n Max Deflection: 4.10e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 156.7946157299492, + "fos_buckling": 0.24771607967247283, + "fos_yielding": 1.20881295196309, + "deflection": 0.040997776777953195, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.004845)" + }, + "parent_node_id": "node_1502", + "improvement_over_parent": null + }, + "node_1504": { + "node_id": "node_1504", + "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n\nPerformance:\n Mass: 165.05 kg\n Factor of Safety: 0.25\n Max Deflection: 3.86e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.04905187948054, + "fos_buckling": 0.24754441188613271, + "fos_yielding": 1.2079611071357546, + "deflection": 0.03863763066784639, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.004850)" + }, + "parent_node_id": "node_1503", + "improvement_over_parent": null + }, + "node_1505": { + "node_id": "node_1505", + "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n\nPerformance:\n Mass: 178.29 kg\n Factor of Safety: 1.37\n Max Deflection: 1.28e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.29480682497982, + "fos_buckling": 1.3684880142141018, + "fos_yielding": 4.216307722849466, + "deflection": 0.01281712673841017, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.006144)" + }, + "parent_node_id": "node_1504", + "improvement_over_parent": null + }, + "node_1506": { + "node_id": "node_1506", + "content": "MODIFICATION: Increase 9 thickness by 40%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0050)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n\nPerformance:\n Mass: 179.26 kg\n Factor of Safety: 1.39\n Max Deflection: 1.28e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.25700738461313, + "fos_buckling": 1.3859275147009724, + "fos_yielding": 4.215578884491428, + "deflection": 0.012806661081635905, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.397)" + }, + "parent_node_id": "node_1505", + "improvement_over_parent": null + }, + "node_1507": { + "node_id": "node_1507", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0058)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 205.51 kg\n Factor of Safety: 1.55\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 205.50565628825612, + "fos_buckling": 1.5497614389727148, + "fos_yielding": 4.830042164713617, + "deflection": 0.011212849853414475, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.161)" + }, + "parent_node_id": "node_1506", + "improvement_over_parent": null + }, + "node_1508": { + "node_id": "node_1508", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1507", + "improvement_over_parent": null + }, + "node_1509": { + "node_id": "node_1509", + "content": "INITIAL DESIGN (Trace 215)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0028)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0025)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0040)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0054)]\n\nPerformance:\n Mass: 132.26 kg\n Factor of Safety: 0.82\n Max Deflection: 1.76e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 132.26353488451727, + "fos_buckling": 0.8234639080107573, + "fos_yielding": 3.4425016680190774, + "deflection": 0.01760501127922287, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1510": { + "node_id": "node_1510", + "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0028)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0025)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0040)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0054)]\n M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n\nPerformance:\n Mass: 142.15 kg\n Factor of Safety: 0.97\n Max Deflection: 1.61e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 142.15092396909262, + "fos_buckling": 0.9689676275909989, + "fos_yielding": 3.051978901551905, + "deflection": 0.01610996614831473, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.004374)" + }, + "parent_node_id": "node_1509", + "improvement_over_parent": null + }, + "node_1511": { + "node_id": "node_1511", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0028)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n\nPerformance:\n Mass: 160.69 kg\n Factor of Safety: 1.08\n Max Deflection: 1.43e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 160.68809515571564, + "fos_buckling": 1.0835285571450122, + "fos_yielding": 3.454054699197149, + "deflection": 0.014288126270179887, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.140)" + }, + "parent_node_id": "node_1510", + "improvement_over_parent": null + }, + "node_1512": { + "node_id": "node_1512", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n Mass: 199.69 kg\n Factor of Safety: 1.32\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.69094239012665, + "fos_buckling": 1.3155908884018188, + "fos_yielding": 4.304104461516409, + "deflection": 0.011559352330434328, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.266)" + }, + "parent_node_id": "node_1511", + "improvement_over_parent": null + }, + "node_1513": { + "node_id": "node_1513", + "content": "MODIFICATION: Increase 12 thickness by 34%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n Mass: 200.91 kg\n Factor of Safety: 1.45\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.91241062053615, + "fos_buckling": 1.4460083870070461, + "fos_yielding": 4.827412963137624, + "deflection": 0.011482408211100336, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.339)" + }, + "parent_node_id": "node_1512", + "improvement_over_parent": null + }, + "node_1514": { + "node_id": "node_1514", + "content": "MODIFICATION: Increase 16 thickness by 57%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n Mass: 204.67 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.66564481939756, + "fos_buckling": 1.5301639912122942, + "fos_yielding": 4.836054587496247, + "deflection": 0.0112286521563155, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.567)" + }, + "parent_node_id": "node_1513", + "improvement_over_parent": null + }, + "node_1515": { + "node_id": "node_1515", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1514", + "improvement_over_parent": null + }, + "node_1516": { + "node_id": "node_1516", + "content": "INITIAL DESIGN (Trace 216)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0030)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0018)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0031)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n\nPerformance:\n Mass: 123.94 kg\n Factor of Safety: 0.31\n Max Deflection: 1.96e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 123.94201716636832, + "fos_buckling": 0.311516166699061, + "fos_yielding": 3.2541320932438547, + "deflection": 0.0196316458199147, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1517": { + "node_id": "node_1517", + "content": "MODIFICATION: Increase 3 thickness by 46%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0018)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0031)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n\nPerformance:\n Mass: 126.81 kg\n Factor of Safety: 0.30\n Max Deflection: 1.92e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 126.80626557159587, + "fos_buckling": 0.30188223019587224, + "fos_yielding": 3.2540758432528865, + "deflection": 0.019205788127314407, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.462)" + }, + "parent_node_id": "node_1516", + "improvement_over_parent": null + }, + "node_1518": { + "node_id": "node_1518", + "content": "MODIFICATION: Increase 13 thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0018)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n\nPerformance:\n Mass: 128.33 kg\n Factor of Safety: 0.30\n Max Deflection: 1.90e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 128.3327667360773, + "fos_buckling": 0.3019353980650507, + "fos_yielding": 3.2753541589038644, + "deflection": 0.01898037994630041, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.238)" + }, + "parent_node_id": "node_1517", + "improvement_over_parent": null + }, + "node_1519": { + "node_id": "node_1519", + "content": "MODIFICATION: Increase 4 thickness by 54%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n\nPerformance:\n Mass: 129.52 kg\n Factor of Safety: 0.30\n Max Deflection: 1.89e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 129.51901743697752, + "fos_buckling": 0.30197672798106867, + "fos_yielding": 3.2585141363052816, + "deflection": 0.018911815183854062, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.538)" + }, + "parent_node_id": "node_1518", + "improvement_over_parent": null + }, + "node_1520": { + "node_id": "node_1520", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n Mass: 153.07 kg\n Factor of Safety: 0.35\n Max Deflection: 1.61e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 153.06731223659003, + "fos_buckling": 0.3486014818174661, + "fos_yielding": 3.848681717708071, + "deflection": 0.016055015237657552, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.195)" + }, + "parent_node_id": "node_1519", + "improvement_over_parent": null + }, + "node_1521": { + "node_id": "node_1521", + "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nPerformance:\n Mass: 169.19 kg\n Factor of Safety: 0.38\n Max Deflection: 1.46e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.18778919685482, + "fos_buckling": 0.37907958180402374, + "fos_yielding": 4.252291554615082, + "deflection": 0.014557873977784293, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.114)" + }, + "parent_node_id": "node_1520", + "improvement_over_parent": null + }, + "node_1522": { + "node_id": "node_1522", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 195.37 kg\n Factor of Safety: 0.43\n Max Deflection: 1.27e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.3662378107023, + "fos_buckling": 0.42609952931221406, + "fos_yielding": 4.907029309025284, + "deflection": 0.01265301976470105, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.170)" + }, + "parent_node_id": "node_1521", + "improvement_over_parent": null + }, + "node_1523": { + "node_id": "node_1523", + "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n Mass: 204.88 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.88189562770265, + "fos_buckling": 1.5314179297214172, + "fos_yielding": 4.841207978507171, + "deflection": 0.011216801420991039, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.005227)" + }, + "parent_node_id": "node_1522", + "improvement_over_parent": null + }, + "node_1524": { + "node_id": "node_1524", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1523", + "improvement_over_parent": null + }, + "node_1525": { + "node_id": "node_1525", + "content": "INITIAL DESIGN (Trace 217)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0042)]\n\nPerformance:\n Mass: 142.85 kg\n Factor of Safety: 0.30\n Max Deflection: 3.79e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 142.85143839789296, + "fos_buckling": 0.2968972043776693, + "fos_yielding": 1.138585895683147, + "deflection": 0.037853481208771696, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1526": { + "node_id": "node_1526", + "content": "MODIFICATION: Increase 0 thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0042)]\n\nPerformance:\n Mass: 144.55 kg\n Factor of Safety: 0.30\n Max Deflection: 3.79e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 144.54874982669816, + "fos_buckling": 0.296854820660523, + "fos_yielding": 1.1384145101742331, + "deflection": 0.03786114473518746, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.328)" + }, + "parent_node_id": "node_1525", + "improvement_over_parent": null + }, + "node_1527": { + "node_id": "node_1527", + "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0042)]\n M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n\nPerformance:\n Mass: 147.20 kg\n Factor of Safety: 0.30\n Max Deflection: 3.50e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 147.20283867076242, + "fos_buckling": 0.29672234774101747, + "fos_yielding": 1.7633389804878086, + "deflection": 0.03503067711914705, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003499)" + }, + "parent_node_id": "node_1526", + "improvement_over_parent": null + }, + "node_1528": { + "node_id": "node_1528", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n Mass: 172.74 kg\n Factor of Safety: 0.34\n Max Deflection: 3.00e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.74068091392067, + "fos_buckling": 0.33763575893601205, + "fos_yielding": 2.0596968211448776, + "deflection": 0.029983897085052568, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.190)" + }, + "parent_node_id": "node_1527", + "improvement_over_parent": null + }, + "node_1529": { + "node_id": "node_1529", + "content": "MODIFICATION: Increase 18 thickness by 53%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0064)]\n\nPerformance:\n Mass: 174.17 kg\n Factor of Safety: 0.34\n Max Deflection: 2.99e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.17146137609691, + "fos_buckling": 0.33755489021603363, + "fos_yielding": 2.1087650561488993, + "deflection": 0.02988673727854635, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(18, thickness, 1.534)" + }, + "parent_node_id": "node_1528", + "improvement_over_parent": null + }, + "node_1530": { + "node_id": "node_1530", + "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0064)]\n M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 186.71 kg\n Factor of Safety: 0.34\n Max Deflection: 2.85e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 186.7104537160662, + "fos_buckling": 0.3372009901740688, + "fos_yielding": 2.1054813997853987, + "deflection": 0.028525274767433995, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)" + }, + "parent_node_id": "node_1529", + "improvement_over_parent": null + }, + "node_1531": { + "node_id": "node_1531", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0064)]\n M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n Mass: 199.20 kg\n Factor of Safety: 1.21\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.19826079308297, + "fos_buckling": 1.2129250772310423, + "fos_yielding": 4.833637143685825, + "deflection": 0.011638139801077179, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.006468)" + }, + "parent_node_id": "node_1530", + "improvement_over_parent": null + }, + "node_1532": { + "node_id": "node_1532", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1531", + "improvement_over_parent": null + }, + "node_1533": { + "node_id": "node_1533", + "content": "INITIAL DESIGN (Trace 218)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0035)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0042)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0039)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0034)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0036)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0029)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0032)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0035)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n\nPerformance:\n Mass: 110.75 kg\n Factor of Safety: 0.33\n Max Deflection: 3.05e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 110.74784195653496, + "fos_buckling": 0.32809131783630735, + "fos_yielding": 2.1462208327652443, + "deflection": 0.030502010025197136, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1534": { + "node_id": "node_1534", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0031)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0043)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0042)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n\nPerformance:\n Mass: 134.10 kg\n Factor of Safety: 0.39\n Max Deflection: 2.52e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 134.0975121378183, + "fos_buckling": 0.38749899754190364, + "fos_yielding": 2.5943513318408717, + "deflection": 0.025244352811883555, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.225)" + }, + "parent_node_id": "node_1533", + "improvement_over_parent": null + }, + "node_1535": { + "node_id": "node_1535", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n\nPerformance:\n Mass: 155.44 kg\n Factor of Safety: 0.44\n Max Deflection: 2.18e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 155.4407318089026, + "fos_buckling": 0.4388733417508829, + "fos_yielding": 3.002603847036874, + "deflection": 0.0218201954983169, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.172)" + }, + "parent_node_id": "node_1534", + "improvement_over_parent": null + }, + "node_1536": { + "node_id": "node_1536", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n Mass: 177.01 kg\n Factor of Safety: 0.49\n Max Deflection: 1.92e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.01365189717077, + "fos_buckling": 0.48797783524673527, + "fos_yielding": 3.413899625851727, + "deflection": 0.019198208169215497, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.152)" + }, + "parent_node_id": "node_1535", + "improvement_over_parent": null + }, + "node_1537": { + "node_id": "node_1537", + "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n\nPerformance:\n Mass: 193.03 kg\n Factor of Safety: 1.30\n Max Deflection: 1.25e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.03411852308136, + "fos_buckling": 1.2952843836492456, + "fos_yielding": 4.846098420196971, + "deflection": 0.012530801852887137, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.005814)" + }, + "parent_node_id": "node_1536", + "improvement_over_parent": null + }, + "node_1538": { + "node_id": "node_1538", + "content": "MODIFICATION: Increase 2 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n\nPerformance:\n Mass: 196.00 kg\n Factor of Safety: 1.30\n Max Deflection: 1.21e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.0029948240109, + "fos_buckling": 1.297804290302419, + "fos_yielding": 4.847595445405126, + "deflection": 0.012052819072232861, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.250)" + }, + "parent_node_id": "node_1537", + "improvement_over_parent": null + }, + "node_1539": { + "node_id": "node_1539", + "content": "MODIFICATION: Increase 1 thickness by 52%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n\nPerformance:\n Mass: 199.81 kg\n Factor of Safety: 1.30\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.8141924407799, + "fos_buckling": 1.2964650597220146, + "fos_yielding": 4.835971847853653, + "deflection": 0.011502503114290592, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.517)" + }, + "parent_node_id": "node_1538", + "improvement_over_parent": null + }, + "node_1540": { + "node_id": "node_1540", + "content": "MODIFICATION: Increase 20 thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.66 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.65969064090473, + "fos_buckling": 1.5311988414296092, + "fos_yielding": 4.835555684474967, + "deflection": 0.011229745315403088, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(20, thickness, 1.332)" + }, + "parent_node_id": "node_1539", + "improvement_over_parent": null + }, + "node_1541": { + "node_id": "node_1541", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1540", + "improvement_over_parent": null + }, + "node_1542": { + "node_id": "node_1542", + "content": "INITIAL DESIGN (Trace 219)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0033)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n Mass: 142.15 kg\n Factor of Safety: 1.11\n Max Deflection: 1.61e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 142.15014092966715, + "fos_buckling": 1.1116791616910486, + "fos_yielding": 3.4350327156439535, + "deflection": 0.016120464771779513, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1543": { + "node_id": "node_1543", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0043)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0054)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n\nPerformance:\n Mass: 180.83 kg\n Factor of Safety: 1.36\n Max Deflection: 1.27e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.8269001096277, + "fos_buckling": 1.3646834306627287, + "fos_yielding": 4.363769291591969, + "deflection": 0.012741560147257141, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.295)" + }, + "parent_node_id": "node_1542", + "improvement_over_parent": null + }, + "node_1544": { + "node_id": "node_1544", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 200.60 kg\n Factor of Safety: 1.49\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.60420609511655, + "fos_buckling": 1.4860705794988434, + "fos_yielding": 4.837668811287302, + "deflection": 0.011517170918364884, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.120)" + }, + "parent_node_id": "node_1543", + "improvement_over_parent": null + }, + "node_1545": { + "node_id": "node_1545", + "content": "MODIFICATION: Increase 3 thickness by 45%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.72 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.7152061673365, + "fos_buckling": 1.5306044308786904, + "fos_yielding": 4.837259768056232, + "deflection": 0.011226033879746968, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.447)" + }, + "parent_node_id": "node_1544", + "improvement_over_parent": null + }, + "node_1546": { + "node_id": "node_1546", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1545", + "improvement_over_parent": null + }, + "node_1547": { + "node_id": "node_1547", + "content": "INITIAL DESIGN (Trace 220)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (17 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n M11: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 0, + "fos_buckling": 0, + "fos_yielding": 0, + "deflection": Infinity, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1548": { + "node_id": "node_1548", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n M11: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n M17: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n\nPerformance:\n Mass: 167.00 kg\n Factor of Safety: 0.79\n Max Deflection: 1.48e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.99722451796387, + "fos_buckling": 0.7864870342404314, + "fos_yielding": 4.60041561606136, + "deflection": 0.014763067500910592, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004168)" + }, + "parent_node_id": "node_1547", + "improvement_over_parent": null + }, + "node_1549": { + "node_id": "node_1549", + "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n M11: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n M17: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n\nPerformance:\n Mass: 169.77 kg\n Factor of Safety: 0.36\n Max Deflection: 1.55e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.77356743061128, + "fos_buckling": 0.363278688966114, + "fos_yielding": 4.60041561606136, + "deflection": 0.015489629240115868, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003674)" + }, + "parent_node_id": "node_1548", + "improvement_over_parent": null + }, + "node_1550": { + "node_id": "node_1550", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n M11: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n M17: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n\nPerformance:\n Mass: 174.50 kg\n Factor of Safety: 1.12\n Max Deflection: 1.29e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.50385469626727, + "fos_buckling": 1.117122203557984, + "fos_yielding": 4.218069294844851, + "deflection": 0.012906734609903327, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003718)" + }, + "parent_node_id": "node_1549", + "improvement_over_parent": null + }, + "node_1551": { + "node_id": "node_1551", + "content": "MODIFICATION: Increase 18 thickness by 59%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n M11: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n M17: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0058)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n\nPerformance:\n Mass: 175.93 kg\n Factor of Safety: 1.11\n Max Deflection: 1.29e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.92844173963584, + "fos_buckling": 1.109278245413091, + "fos_yielding": 4.215602361009566, + "deflection": 0.012914485569971709, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(18, thickness, 1.587)" + }, + "parent_node_id": "node_1550", + "improvement_over_parent": null + }, + "node_1552": { + "node_id": "node_1552", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M17: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0066)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 197.41 kg\n Factor of Safety: 1.21\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.41224419831275, + "fos_buckling": 1.2149271969891973, + "fos_yielding": 4.727112881662148, + "deflection": 0.011543181480584306, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.134)" + }, + "parent_node_id": "node_1551", + "improvement_over_parent": null + }, + "node_1553": { + "node_id": "node_1553", + "content": "MODIFICATION: Increase 15 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M17: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0066)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 200.64 kg\n Factor of Safety: 1.22\n Max Deflection: 1.14e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.6428116235609, + "fos_buckling": 1.215947623794521, + "fos_yielding": 4.7274447002911915, + "deflection": 0.011418527596202715, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.387)" + }, + "parent_node_id": "node_1552", + "improvement_over_parent": null + }, + "node_1554": { + "node_id": "node_1554", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M17: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0066)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M20: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n\nPerformance:\n Mass: 201.77 kg\n Factor of Safety: 1.49\n Max Deflection: 1.14e-02 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.76945944384752, + "fos_buckling": 1.485838776056586, + "fos_yielding": 4.829520032011569, + "deflection": 0.011436000543392, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002506)" + }, + "parent_node_id": "node_1553", + "improvement_over_parent": null + }, + "node_1555": { + "node_id": "node_1555", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1554", + "improvement_over_parent": null + }, + "node_1556": { + "node_id": "node_1556", + "content": "INITIAL DESIGN (Trace 221)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0045)]\n\nPerformance:\n Mass: 158.91 kg\n Factor of Safety: 1.01\n Max Deflection: 1.52e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 158.9094291557897, + "fos_buckling": 1.0059338900142212, + "fos_yielding": 3.9607640366788885, + "deflection": 0.015215540447157682, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1557": { + "node_id": "node_1557", + "content": "MODIFICATION: Increase 20 thickness by 38%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n\nPerformance:\n Mass: 163.35 kg\n Factor of Safety: 1.00\n Max Deflection: 1.48e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.34835949347286, + "fos_buckling": 1.0020624952755666, + "fos_yielding": 3.960415658789431, + "deflection": 0.014836313424652015, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(20, thickness, 1.379)" + }, + "parent_node_id": "node_1556", + "improvement_over_parent": null + }, + "node_1558": { + "node_id": "node_1558", + "content": "MODIFICATION: Increase 6 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n\nPerformance:\n Mass: 164.93 kg\n Factor of Safety: 1.14\n Max Deflection: 1.43e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.9290303422667, + "fos_buckling": 1.143545642978306, + "fos_yielding": 3.958886463826818, + "deflection": 0.014268014567752021, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.198)" + }, + "parent_node_id": "node_1557", + "improvement_over_parent": null + }, + "node_1559": { + "node_id": "node_1559", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 201.78 kg\n Factor of Safety: 1.36\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.77622734694037, + "fos_buckling": 1.3613338565629955, + "fos_yielding": 4.837402539536944, + "deflection": 0.011717500047263059, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.245)" + }, + "parent_node_id": "node_1558", + "improvement_over_parent": null + }, + "node_1560": { + "node_id": "node_1560", + "content": "MODIFICATION: Increase 6 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.64 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.6379230935666, + "fos_buckling": 1.529888678983441, + "fos_yielding": 4.835301775987634, + "deflection": 0.011229851327154799, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.255)" + }, + "parent_node_id": "node_1559", + "improvement_over_parent": null + }, + "node_1561": { + "node_id": "node_1561", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1560", + "improvement_over_parent": null + }, + "node_1562": { + "node_id": "node_1562", + "content": "INITIAL DESIGN (Trace 222)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0039)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n\nPerformance:\n Mass: 150.25 kg\n Factor of Safety: 0.20\n Max Deflection: 1.60e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 150.24879981567727, + "fos_buckling": 0.19728103852171944, + "fos_yielding": 3.816478814418479, + "deflection": 0.016010971870340868, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1563": { + "node_id": "node_1563", + "content": "MODIFICATION: Increase 7 thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0039)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n\nPerformance:\n Mass: 152.10 kg\n Factor of Safety: 0.20\n Max Deflection: 1.59e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 152.09857871857062, + "fos_buckling": 0.1972505393054913, + "fos_yielding": 3.8158781091989624, + "deflection": 0.01590904791504166, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.323)" + }, + "parent_node_id": "node_1562", + "improvement_over_parent": null + }, + "node_1564": { + "node_id": "node_1564", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0046)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 179.40 kg\n Factor of Safety: 0.23\n Max Deflection: 1.35e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.40155634686047, + "fos_buckling": 0.22663580253513008, + "fos_yielding": 4.511513519484906, + "deflection": 0.013501499258073897, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.196)" + }, + "parent_node_id": "node_1563", + "improvement_over_parent": null + }, + "node_1565": { + "node_id": "node_1565", + "content": "MODIFICATION: Increase 2 thickness by 57%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 184.91 kg\n Factor of Safety: 0.23\n Max Deflection: 1.30e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.9089564791027, + "fos_buckling": 0.2270245286191415, + "fos_yielding": 4.508000289172383, + "deflection": 0.012979383416378476, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.575)" + }, + "parent_node_id": "node_1564", + "improvement_over_parent": null + }, + "node_1566": { + "node_id": "node_1566", + "content": "MODIFICATION: Increase 14 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 186.15 kg\n Factor of Safety: 0.23\n Max Deflection: 1.30e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 186.15336636782556, + "fos_buckling": 0.22804442788309415, + "fos_yielding": 4.507841653874324, + "deflection": 0.012960448078761552, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.209)" + }, + "parent_node_id": "node_1565", + "improvement_over_parent": null + }, + "node_1567": { + "node_id": "node_1567", + "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n Mass: 197.58 kg\n Factor of Safety: 1.18\n Max Deflection: 1.25e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.58056653386518, + "fos_buckling": 1.1848787756677361, + "fos_yielding": 4.846861678718889, + "deflection": 0.012488291108007485, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.005728)" + }, + "parent_node_id": "node_1566", + "improvement_over_parent": null + }, + "node_1568": { + "node_id": "node_1568", + "content": "MODIFICATION: Increase 6 thickness by 54%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n Mass: 202.60 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 202.59926223004564, + "fos_buckling": 1.5312643679076456, + "fos_yielding": 4.84270331973482, + "deflection": 0.011484773442464798, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.541)" + }, + "parent_node_id": "node_1567", + "improvement_over_parent": null + }, + "node_1569": { + "node_id": "node_1569", + "content": "MODIFICATION: Increase 1 thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n Mass: 204.72 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.72100607465313, + "fos_buckling": 1.530481195386801, + "fos_yielding": 4.83714963891317, + "deflection": 0.011225347939293903, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.238)" + }, + "parent_node_id": "node_1568", + "improvement_over_parent": null + }, + "node_1570": { + "node_id": "node_1570", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1569", + "improvement_over_parent": null + }, + "node_1571": { + "node_id": "node_1571", + "content": "INITIAL DESIGN (Trace 223)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0049)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0046)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0043)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0037)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0029)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0023)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0052)]\n\nPerformance:\n Mass: 121.16 kg\n Factor of Safety: 0.34\n Max Deflection: 2.41e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 121.15569889559322, + "fos_buckling": 0.34422908215852555, + "fos_yielding": 2.837476015102506, + "deflection": 0.024130796942529627, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1572": { + "node_id": "node_1572", + "content": "MODIFICATION: Increase 13 thickness by 37%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0049)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0046)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0043)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0037)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0040)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0023)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0052)]\n\nPerformance:\n Mass: 123.38 kg\n Factor of Safety: 0.34\n Max Deflection: 2.35e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 123.37540421225216, + "fos_buckling": 0.34429407838658727, + "fos_yielding": 2.838008303656604, + "deflection": 0.023530037158390332, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.368)" + }, + "parent_node_id": "node_1571", + "improvement_over_parent": null + }, + "node_1573": { + "node_id": "node_1573", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0027)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n Mass: 145.11 kg\n Factor of Safety: 0.40\n Max Deflection: 2.01e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 145.10707855101623, + "fos_buckling": 0.4000716612766919, + "fos_yielding": 3.325744808541574, + "deflection": 0.02005120197547979, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.189)" + }, + "parent_node_id": "node_1572", + "improvement_over_parent": null + }, + "node_1574": { + "node_id": "node_1574", + "content": "MODIFICATION: Increase 6 thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0027)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n Mass: 147.71 kg\n Factor of Safety: 0.40\n Max Deflection: 1.92e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 147.71494793531377, + "fos_buckling": 0.3998061724689428, + "fos_yielding": 3.323554610771794, + "deflection": 0.019237097520966744, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.290)" + }, + "parent_node_id": "node_1573", + "improvement_over_parent": null + }, + "node_1575": { + "node_id": "node_1575", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0027)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n\nPerformance:\n Mass: 154.00 kg\n Factor of Safety: 0.40\n Max Deflection: 1.79e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 154.00269036806705, + "fos_buckling": 0.40001951490956106, + "fos_yielding": 3.8439855611706886, + "deflection": 0.017911011022619976, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003749)" + }, + "parent_node_id": "node_1574", + "improvement_over_parent": null + }, + "node_1576": { + "node_id": "node_1576", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n Mass: 190.65 kg\n Factor of Safety: 0.49\n Max Deflection: 1.45e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.65240678726528, + "fos_buckling": 0.48577329306465084, + "fos_yielding": 4.752899095649399, + "deflection": 0.014523810385995364, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.261)" + }, + "parent_node_id": "node_1575", + "improvement_over_parent": null + }, + "node_1577": { + "node_id": "node_1577", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M20: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n\nPerformance:\n Mass: 201.67 kg\n Factor of Safety: 1.33\n Max Deflection: 1.13e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.66806366315225, + "fos_buckling": 1.327378188103122, + "fos_yielding": 4.846789392284603, + "deflection": 0.011295108043579732, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.005624)" + }, + "parent_node_id": "node_1576", + "improvement_over_parent": null + }, + "node_1578": { + "node_id": "node_1578", + "content": "MODIFICATION: Increase 15 thickness by 54%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0088)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M20: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n\nPerformance:\n Mass: 206.94 kg\n Factor of Safety: 1.36\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.93985641262358, + "fos_buckling": 1.3645097328160984, + "fos_yielding": 4.847850003104723, + "deflection": 0.01151514829955267, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.536)" + }, + "parent_node_id": "node_1577", + "improvement_over_parent": null + }, + "node_1579": { + "node_id": "node_1579", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1578", + "improvement_over_parent": null + }, + "node_1580": { + "node_id": "node_1580", + "content": "INITIAL DESIGN (Trace 224)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0028)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0038)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0036)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0022)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0034)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0037)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0029)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0018)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0022)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0028)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0031)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0025)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0029)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0030)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0026)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n\nPerformance:\n Mass: 93.73 kg\n Factor of Safety: 0.29\n Max Deflection: 3.46e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 93.72549318259207, + "fos_buckling": 0.28954295460578017, + "fos_yielding": 1.7049622927960026, + "deflection": 0.034628445247655404, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1581": { + "node_id": "node_1581", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0045)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0042)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0040)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0022)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0037)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0029)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0035)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n\nPerformance:\n Mass: 109.26 kg\n Factor of Safety: 0.33\n Max Deflection: 2.98e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 109.25882399603542, + "fos_buckling": 0.33198061349459196, + "fos_yielding": 1.9925800744895132, + "deflection": 0.029750558773077043, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.175)" + }, + "parent_node_id": "node_1580", + "improvement_over_parent": null + }, + "node_1582": { + "node_id": "node_1582", + "content": "MODIFICATION: Increase 8 thickness by 62%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0045)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0042)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0040)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0035)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0037)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0029)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0035)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n\nPerformance:\n Mass: 110.63 kg\n Factor of Safety: 0.33\n Max Deflection: 2.96e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 110.63122479320423, + "fos_buckling": 0.33198061349459174, + "fos_yielding": 2.1748145530430736, + "deflection": 0.029636102565037646, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.623)" + }, + "parent_node_id": "node_1581", + "improvement_over_parent": null + }, + "node_1583": { + "node_id": "node_1583", + "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0045)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0042)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0040)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0035)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0037)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0029)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0035)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n M19: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0032)]\n\nPerformance:\n Mass: 116.67 kg\n Factor of Safety: 0.33\n Max Deflection: 2.89e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 116.67283884176058, + "fos_buckling": 0.33180959384608566, + "fos_yielding": 2.1742130513771034, + "deflection": 0.0289245843299066, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.003206)" + }, + "parent_node_id": "node_1582", + "improvement_over_parent": null + }, + "node_1584": { + "node_id": "node_1584", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0040)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M19: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n\nPerformance:\n Mass: 131.03 kg\n Factor of Safety: 0.37\n Max Deflection: 2.58e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 131.02634535461718, + "fos_buckling": 0.3672509890088701, + "fos_yielding": 2.439729383532476, + "deflection": 0.025791233557953104, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.131)" + }, + "parent_node_id": "node_1583", + "improvement_over_parent": null + }, + "node_1585": { + "node_id": "node_1585", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M19: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n\nPerformance:\n Mass: 159.25 kg\n Factor of Safety: 0.43\n Max Deflection: 2.13e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.24719651307163, + "fos_buckling": 0.4335442862247505, + "fos_yielding": 2.960525998845245, + "deflection": 0.02127767439807923, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.233)" + }, + "parent_node_id": "node_1584", + "improvement_over_parent": null + }, + "node_1586": { + "node_id": "node_1586", + "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M19: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nPerformance:\n Mass: 177.32 kg\n Factor of Safety: 1.36\n Max Deflection: 1.29e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.31965405022555, + "fos_buckling": 1.36112432966193, + "fos_yielding": 4.1943986826973525, + "deflection": 0.012909192940916588, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.006620)" + }, + "parent_node_id": "node_1585", + "improvement_over_parent": null + }, + "node_1587": { + "node_id": "node_1587", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.44 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.44018426833554, + "fos_buckling": 1.529525278051157, + "fos_yielding": 4.8323807363660745, + "deflection": 0.011241004717649139, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.168)" + }, + "parent_node_id": "node_1586", + "improvement_over_parent": null + }, + "node_1588": { + "node_id": "node_1588", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1587", + "improvement_over_parent": null + }, + "node_1589": { + "node_id": "node_1589", + "content": "INITIAL DESIGN (Trace 225)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (17 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0026)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0031)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0036)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0034)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0032)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0035)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0028)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0012)]\n M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0020)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0026)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0029)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0023)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0025)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0027)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0028)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0024)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0031)]\n\nPerformance:\n Mass: 85.87 kg\n Factor of Safety: 0.37\n Max Deflection: 2.86e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 85.8724176045135, + "fos_buckling": 0.3655850587070202, + "fos_yielding": 1.9721688255087158, + "deflection": 28647058605212.402, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1590": { + "node_id": "node_1590", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (17 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0031)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0043)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0040)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0038)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0033)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0031)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0035)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0030)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0033)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0033)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0029)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n\nPerformance:\n Mass: 101.61 kg\n Factor of Safety: 0.53\n Max Deflection: 1.86e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 101.60885846921204, + "fos_buckling": 0.5330729783868163, + "fos_yielding": 2.9084678581250207, + "deflection": 18640645175844.24, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.193)" + }, + "parent_node_id": "node_1589", + "improvement_over_parent": null + }, + "node_1591": { + "node_id": "node_1591", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (17 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n\nPerformance:\n Mass: 129.51 kg\n Factor of Safety: 0.09\n Max Deflection: 5.01e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 129.51371894396144, + "fos_buckling": 0.09057098199358439, + "fos_yielding": 0.49304220637717894, + "deflection": 50145957731107.21, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.294)" + }, + "parent_node_id": "node_1590", + "improvement_over_parent": null + }, + "node_1592": { + "node_id": "node_1592", + "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n\nPerformance:\n Mass: 145.54 kg\n Factor of Safety: 0.88\n Max Deflection: 1.69e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 145.54447071994298, + "fos_buckling": 0.879403763492906, + "fos_yielding": 3.971239524281309, + "deflection": 0.01692731801842657, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.005818)" + }, + "parent_node_id": "node_1591", + "improvement_over_parent": null + }, + "node_1593": { + "node_id": "node_1593", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 189.30 kg\n Factor of Safety: 1.09\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.30178425296734, + "fos_buckling": 1.0938124885107412, + "fos_yielding": 5.163841207117921, + "deflection": 0.013108422029930745, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.330)" + }, + "parent_node_id": "node_1592", + "improvement_over_parent": null + }, + "node_1594": { + "node_id": "node_1594", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n Mass: 190.02 kg\n Factor of Safety: 1.09\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.017916079441, + "fos_buckling": 1.0937240234290553, + "fos_yielding": 5.163841207117922, + "deflection": 0.013069494475447235, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)" + }, + "parent_node_id": "node_1593", + "improvement_over_parent": null + }, + "node_1595": { + "node_id": "node_1595", + "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n Mass: 199.48 kg\n Factor of Safety: 1.15\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.48223064149582, + "fos_buckling": 1.1539013304342873, + "fos_yielding": 5.163841207117922, + "deflection": 0.011862644928855958, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)" + }, + "parent_node_id": "node_1594", + "improvement_over_parent": null + }, + "node_1596": { + "node_id": "node_1596", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 204.79 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.7902761184903, + "fos_buckling": 1.5306345016099336, + "fos_yielding": 4.839274686278808, + "deflection": 0.011221808409744172, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)" + }, + "parent_node_id": "node_1595", + "improvement_over_parent": null + }, + "node_1597": { + "node_id": "node_1597", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1596", + "improvement_over_parent": null + }, + "node_1598": { + "node_id": "node_1598", + "content": "INITIAL DESIGN (Trace 226)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (17 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0036)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 0, + "fos_buckling": 0, + "fos_yielding": 0, + "deflection": Infinity, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1599": { + "node_id": "node_1599", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0036)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n M17: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n\nPerformance:\n Mass: 147.32 kg\n Factor of Safety: 0.80\n Max Deflection: 1.95e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 147.31670861291627, + "fos_buckling": 0.7956567090509968, + "fos_yielding": 4.107777760763487, + "deflection": 0.01950223562085815, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003687)" + }, + "parent_node_id": "node_1598", + "improvement_over_parent": null + }, + "node_1600": { + "node_id": "node_1600", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0036)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n M17: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n\nPerformance:\n Mass: 151.54 kg\n Factor of Safety: 0.80\n Max Deflection: 1.89e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 151.54067718512053, + "fos_buckling": 0.7953739851319067, + "fos_yielding": 3.9053418798148734, + "deflection": 0.01893707790805025, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003290)" + }, + "parent_node_id": "node_1599", + "improvement_over_parent": null + }, + "node_1601": { + "node_id": "node_1601", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0036)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n M17: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n\nPerformance:\n Mass: 152.11 kg\n Factor of Safety: 0.38\n Max Deflection: 1.69e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 152.11028503799199, + "fos_buckling": 0.37879616599097476, + "fos_yielding": 3.905286698048667, + "deflection": 0.01692937114432986, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001558)" + }, + "parent_node_id": "node_1600", + "improvement_over_parent": null + }, + "node_1602": { + "node_id": "node_1602", + "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0036)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n M17: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n\nPerformance:\n Mass: 159.68 kg\n Factor of Safety: 1.03\n Max Deflection: 1.48e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.68256650368954, + "fos_buckling": 1.0310398156657155, + "fos_yielding": 3.8467892572309745, + "deflection": 0.014800853241393751, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.004078)" + }, + "parent_node_id": "node_1601", + "improvement_over_parent": null + }, + "node_1603": { + "node_id": "node_1603", + "content": "MODIFICATION: Increase 11 thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0036)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0062)]\n M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n M17: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n\nPerformance:\n Mass: 162.63 kg\n Factor of Safety: 1.03\n Max Deflection: 1.46e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.6265690252682, + "fos_buckling": 1.027646094359525, + "fos_yielding": 3.8745917722779444, + "deflection": 0.014639037166584953, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.325)" + }, + "parent_node_id": "node_1602", + "improvement_over_parent": null + }, + "node_1604": { + "node_id": "node_1604", + "content": "MODIFICATION: Increase 5 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0036)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0077)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0062)]\n M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n M17: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n\nPerformance:\n Mass: 166.83 kg\n Factor of Safety: 1.04\n Max Deflection: 1.39e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.8305980147734, + "fos_buckling": 1.0351917196342966, + "fos_yielding": 3.8725857780287622, + "deflection": 0.013927935153803257, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.385)" + }, + "parent_node_id": "node_1603", + "improvement_over_parent": null + }, + "node_1605": { + "node_id": "node_1605", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0047)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0099)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0080)]\n M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M17: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n Mass: 209.46 kg\n Factor of Safety: 1.26\n Max Deflection: 1.12e-02 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.4604626286636, + "fos_buckling": 1.2641679950007398, + "fos_yielding": 4.861325940536665, + "deflection": 0.011155681595061511, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.282)" + }, + "parent_node_id": "node_1604", + "improvement_over_parent": null + }, + "node_1606": { + "node_id": "node_1606", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1605", + "improvement_over_parent": null + }, + "node_1607": { + "node_id": "node_1607", + "content": "INITIAL DESIGN (Trace 227)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0026)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n\nPerformance:\n Mass: 120.68 kg\n Factor of Safety: 0.04\n Max Deflection: 2.98e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 120.67866973950835, + "fos_buckling": 0.04228627563338024, + "fos_yielding": 0.9860844127543579, + "deflection": 29790999610719.69, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1608": { + "node_id": "node_1608", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0030)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n Mass: 138.36 kg\n Factor of Safety: 0.45\n Max Deflection: 1.18e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 138.3624902124256, + "fos_buckling": 0.4454622379827875, + "fos_yielding": 2.209773996583538, + "deflection": 11761602160534.393, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.157)" + }, + "parent_node_id": "node_1607", + "improvement_over_parent": null + }, + "node_1609": { + "node_id": "node_1609", + "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0030)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n\nPerformance:\n Mass: 140.79 kg\n Factor of Safety: 0.89\n Max Deflection: 1.51e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 140.78617289096016, + "fos_buckling": 0.890924475965575, + "fos_yielding": 2.729355904647368, + "deflection": 15108582127577.63, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003173)" + }, + "parent_node_id": "node_1608", + "improvement_over_parent": null + }, + "node_1610": { + "node_id": "node_1610", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0030)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n\nPerformance:\n Mass: 150.50 kg\n Factor of Safety: 0.35\n Max Deflection: 1.63e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 150.50295690907257, + "fos_buckling": 0.3463303311769457, + "fos_yielding": 2.6928122619576156, + "deflection": 0.016316540522661422, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.004926)" + }, + "parent_node_id": "node_1609", + "improvement_over_parent": null + }, + "node_1611": { + "node_id": "node_1611", + "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0030)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n\nPerformance:\n Mass: 157.91 kg\n Factor of Safety: 0.95\n Max Deflection: 1.45e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.90734938426033, + "fos_buckling": 0.948737600120025, + "fos_yielding": 2.657680734307754, + "deflection": 0.014490748234554054, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.003981)" + }, + "parent_node_id": "node_1610", + "improvement_over_parent": null + }, + "node_1612": { + "node_id": "node_1612", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n Mass: 202.82 kg\n Factor of Safety: 1.19\n Max Deflection: 1.14e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.82307036750544, + "fos_buckling": 1.1928893326919885, + "fos_yielding": 3.432610176528199, + "deflection": 0.011354573420978918, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.312)" + }, + "parent_node_id": "node_1611", + "improvement_over_parent": null + }, + "node_1613": { + "node_id": "node_1613", + "content": "MODIFICATION: Increase 8 thickness by 47%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0037)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n Mass: 203.28 kg\n Factor of Safety: 1.19\n Max Deflection: 1.14e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.2777917882833, + "fos_buckling": 1.1948283417127972, + "fos_yielding": 3.4381897905919683, + "deflection": 0.01135929391513689, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.466)" + }, + "parent_node_id": "node_1612", + "improvement_over_parent": null + }, + "node_1614": { + "node_id": "node_1614", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1613", + "improvement_over_parent": null + }, + "node_1615": { + "node_id": "node_1615", + "content": "INITIAL DESIGN (Trace 228)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0027)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0057)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0066)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0046)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0054)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0045)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n\nPerformance:\n Mass: 160.06 kg\n Factor of Safety: 1.01\n Max Deflection: 1.57e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 160.05608400856147, + "fos_buckling": 1.0077877460839217, + "fos_yielding": 4.315442742630907, + "deflection": 0.015737137592009412, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1616": { + "node_id": "node_1616", + "content": "MODIFICATION: Increase 0 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0057)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0066)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0046)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0054)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0045)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n\nPerformance:\n Mass: 161.74 kg\n Factor of Safety: 1.01\n Max Deflection: 1.53e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 161.74466650807764, + "fos_buckling": 1.0077395903708157, + "fos_yielding": 4.31523653529861, + "deflection": 0.01525733497619198, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.393)" + }, + "parent_node_id": "node_1615", + "improvement_over_parent": null + }, + "node_1617": { + "node_id": "node_1617", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 179.02 kg\n Factor of Safety: 1.09\n Max Deflection: 1.38e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.01808404676478, + "fos_buckling": 1.0943244796716134, + "fos_yielding": 4.779668253043453, + "deflection": 0.013819955223642792, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.117)" + }, + "parent_node_id": "node_1616", + "improvement_over_parent": null + }, + "node_1618": { + "node_id": "node_1618", + "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n Mass: 192.90 kg\n Factor of Safety: 1.15\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.90299092238638, + "fos_buckling": 1.1541875771865755, + "fos_yielding": 3.926092962093714, + "deflection": 0.012426706482548379, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)" + }, + "parent_node_id": "node_1617", + "improvement_over_parent": null + }, + "node_1619": { + "node_id": "node_1619", + "content": "MODIFICATION: Increase 0 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n Mass: 194.50 kg\n Factor of Safety: 1.15\n Max Deflection: 1.22e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.50474129445433, + "fos_buckling": 1.1537309106660947, + "fos_yielding": 3.9260291414464454, + "deflection": 0.012206341668828651, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.253)" + }, + "parent_node_id": "node_1618", + "improvement_over_parent": null + }, + "node_1620": { + "node_id": "node_1620", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 199.81 kg\n Factor of Safety: 1.21\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.81278677144883, + "fos_buckling": 1.2105500259734794, + "fos_yielding": 3.9268087075248976, + "deflection": 0.011565951537160042, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)" + }, + "parent_node_id": "node_1619", + "improvement_over_parent": null + }, + "node_1621": { + "node_id": "node_1621", + "content": "MODIFICATION: Increase 12 thickness by 44%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0086)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 204.60 kg\n Factor of Safety: 1.21\n Max Deflection: 1.14e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.59726550600158, + "fos_buckling": 1.2104494960578387, + "fos_yielding": 3.926482606381092, + "deflection": 0.011403936241833957, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.439)" + }, + "parent_node_id": "node_1620", + "improvement_over_parent": null + }, + "node_1622": { + "node_id": "node_1622", + "content": "MODIFICATION: Increase 3 thickness by 35%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0086)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 208.00 kg\n Factor of Safety: 1.25\n Max Deflection: 1.12e-02 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 208.00095140141184, + "fos_buckling": 1.2461035338413435, + "fos_yielding": 4.0421379556212855, + "deflection": 0.01116473364187357, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.346)" + }, + "parent_node_id": "node_1621", + "improvement_over_parent": null + }, + "node_1623": { + "node_id": "node_1623", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1622", + "improvement_over_parent": null + }, + "node_1624": { + "node_id": "node_1624", + "content": "INITIAL DESIGN (Trace 229)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0023)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0028)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0032)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0030)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0018)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0028)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0019)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0025)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0025)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0011)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0009)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0018)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0023)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0021)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0025)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0025)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0022)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0028)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0034)]\n\nPerformance:\n Mass: 81.21 kg\n Factor of Safety: 0.13\n Max Deflection: 3.67e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 81.20554764921228, + "fos_buckling": 0.13334795999571483, + "fos_yielding": 1.9049764092537154, + "deflection": 0.03668620837916917, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1625": { + "node_id": "node_1625", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0028)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0039)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0036)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0022)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0034)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0023)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0030)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0030)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0022)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0028)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0025)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0030)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0030)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0026)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0041)]\n\nPerformance:\n Mass: 97.42 kg\n Factor of Safety: 0.16\n Max Deflection: 3.06e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 97.4193729035265, + "fos_buckling": 0.15713063889810874, + "fos_yielding": 2.278991952199157, + "deflection": 0.03064836895520598, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.209)" + }, + "parent_node_id": "node_1624", + "improvement_over_parent": null + }, + "node_1626": { + "node_id": "node_1626", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0030)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n Mass: 125.39 kg\n Factor of Safety: 0.20\n Max Deflection: 2.39e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 125.38671490544623, + "fos_buckling": 0.19597720362626606, + "fos_yielding": 2.919232387944351, + "deflection": 0.02390311513060397, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.305)" + }, + "parent_node_id": "node_1625", + "improvement_over_parent": null + }, + "node_1627": { + "node_id": "node_1627", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0037)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n\nPerformance:\n Mass: 148.67 kg\n Factor of Safety: 0.23\n Max Deflection: 2.02e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 148.67156116200758, + "fos_buckling": 0.2262418092490515, + "fos_yielding": 3.4475700900372077, + "deflection": 0.0202229709983947, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.200)" + }, + "parent_node_id": "node_1626", + "improvement_over_parent": null + }, + "node_1628": { + "node_id": "node_1628", + "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0037)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n M19: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n\nPerformance:\n Mass: 156.67 kg\n Factor of Safety: 0.39\n Max Deflection: 1.84e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 156.6686634944106, + "fos_buckling": 0.38977023916860914, + "fos_yielding": 3.476476270843161, + "deflection": 0.01843323648216982, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.004325)" + }, + "parent_node_id": "node_1627", + "improvement_over_parent": null + }, + "node_1629": { + "node_id": "node_1629", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n Mass: 186.55 kg\n Factor of Safety: 0.45\n Max Deflection: 1.55e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 186.54518179840204, + "fos_buckling": 0.44797543917058064, + "fos_yielding": 4.131849627681553, + "deflection": 0.015538106442872988, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.209)" + }, + "parent_node_id": "node_1628", + "improvement_over_parent": null + }, + "node_1630": { + "node_id": "node_1630", + "content": "MODIFICATION: Increase 6 thickness by 61%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n Mass: 191.99 kg\n Factor of Safety: 0.45\n Max Deflection: 1.44e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.98644356713885, + "fos_buckling": 0.4473723910256714, + "fos_yielding": 4.130745411414561, + "deflection": 0.014370251788498501, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.613)" + }, + "parent_node_id": "node_1629", + "improvement_over_parent": null + }, + "node_1631": { + "node_id": "node_1631", + "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 204.53 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.52543590710815, + "fos_buckling": 1.5291800506540967, + "fos_yielding": 4.832184339503903, + "deflection": 0.011236556825568424, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)" + }, + "parent_node_id": "node_1630", + "improvement_over_parent": null + }, + "node_1632": { + "node_id": "node_1632", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1631", + "improvement_over_parent": null + }, + "node_1633": { + "node_id": "node_1633", + "content": "INITIAL DESIGN (Trace 230)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n Mass: 147.66 kg\n Factor of Safety: 1.38\n Max Deflection: 6.61e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 147.65625699483803, + "fos_buckling": 1.3771614614646734, + "fos_yielding": 4.134818101949047, + "deflection": 6612900085911.708, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1634": { + "node_id": "node_1634", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n\nPerformance:\n Mass: 166.41 kg\n Factor of Safety: 1.04\n Max Deflection: 1.32e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.40860108032712, + "fos_buckling": 1.0361557640458972, + "fos_yielding": 4.659508580596489, + "deflection": 13209026682770.652, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.138)" + }, + "parent_node_id": "node_1633", + "improvement_over_parent": null + }, + "node_1635": { + "node_id": "node_1635", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n\nPerformance:\n Mass: 173.43 kg\n Factor of Safety: 0.41\n Max Deflection: 1.59e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.4294762861152, + "fos_buckling": 0.41289764222175795, + "fos_yielding": 3.735291841798849, + "deflection": 0.01586140512350698, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004224)" + }, + "parent_node_id": "node_1634", + "improvement_over_parent": null + }, + "node_1636": { + "node_id": "node_1636", + "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0054)]\n\nPerformance:\n Mass: 184.75 kg\n Factor of Safety: 1.41\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.7454110059178, + "fos_buckling": 1.4076179385409606, + "fos_yielding": 4.367692061926606, + "deflection": 0.012403301022572071, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.005363)" + }, + "parent_node_id": "node_1635", + "improvement_over_parent": null + }, + "node_1637": { + "node_id": "node_1637", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 204.75 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.75007628031707, + "fos_buckling": 1.5307121705659716, + "fos_yielding": 4.838041544129636, + "deflection": 0.011224103845386283, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.119)" + }, + "parent_node_id": "node_1636", + "improvement_over_parent": null + }, + "node_1638": { + "node_id": "node_1638", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1637", + "improvement_over_parent": null + }, + "node_1639": { + "node_id": "node_1639", + "content": "INITIAL DESIGN (Trace 231)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0049)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0046)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0030)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0040)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0052)]\n\nPerformance:\n Mass: 128.83 kg\n Factor of Safety: 0.20\n Max Deflection: 5.00e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 128.8277498000392, + "fos_buckling": 0.20411778375853376, + "fos_yielding": 0.9289282921822619, + "deflection": 0.04999356415153663, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1640": { + "node_id": "node_1640", + "content": "MODIFICATION: Increase 5 thickness by 44%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0049)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0046)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0040)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0052)]\n\nPerformance:\n Mass: 131.38 kg\n Factor of Safety: 0.20\n Max Deflection: 4.84e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 131.37707298975096, + "fos_buckling": 0.20398604144184654, + "fos_yielding": 0.970400463122578, + "deflection": 0.04835271184917373, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.443)" + }, + "parent_node_id": "node_1639", + "improvement_over_parent": null + }, + "node_1641": { + "node_id": "node_1641", + "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0049)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0046)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0040)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0052)]\n M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n\nPerformance:\n Mass: 141.90 kg\n Factor of Safety: 1.12\n Max Deflection: 1.60e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 141.904505978085, + "fos_buckling": 1.124882517227271, + "fos_yielding": 3.358537241820876, + "deflection": 0.016046159140106014, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.004802)" + }, + "parent_node_id": "node_1640", + "improvement_over_parent": null + }, + "node_1642": { + "node_id": "node_1642", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n\nPerformance:\n Mass: 157.67 kg\n Factor of Safety: 1.23\n Max Deflection: 1.45e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.66801142129754, + "fos_buckling": 1.2319268437526794, + "fos_yielding": 3.73004492669322, + "deflection": 0.01447528341516889, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.119)" + }, + "parent_node_id": "node_1641", + "improvement_over_parent": null + }, + "node_1643": { + "node_id": "node_1643", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 204.78 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.7828274881771, + "fos_buckling": 1.5308433736104954, + "fos_yielding": 4.838558630424829, + "deflection": 0.011221796751409873, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.328)" + }, + "parent_node_id": "node_1642", + "improvement_over_parent": null + }, + "node_1644": { + "node_id": "node_1644", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1643", + "improvement_over_parent": null + }, + "node_1645": { + "node_id": "node_1645", + "content": "INITIAL DESIGN (Trace 232)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 194.23 kg\n Factor of Safety: 1.44\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.2289633305823, + "fos_buckling": 1.4425621833998705, + "fos_yielding": 4.848206459262038, + "deflection": 0.011740651861283246, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1646": { + "node_id": "node_1646", + "content": "MODIFICATION: Increase 18 thickness by 54%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 197.05 kg\n Factor of Safety: 1.46\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.0541027639834, + "fos_buckling": 1.4646497006427983, + "fos_yielding": 4.846434576196506, + "deflection": 0.011814636740941567, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(18, thickness, 1.536)" + }, + "parent_node_id": "node_1645", + "improvement_over_parent": null + }, + "node_1647": { + "node_id": "node_1647", + "content": "MODIFICATION: Increase 19 thickness by 49%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 201.37 kg\n Factor of Safety: 1.52\n Max Deflection: 1.17e-02 m\n Status: FEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 201.37437605302674, + "fos_buckling": 1.5169154270690892, + "fos_yielding": 4.8464824655727945, + "deflection": 0.011683601113392174, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(19, thickness, 1.495)" + }, + "parent_node_id": "node_1646", + "improvement_over_parent": null + }, + "node_1648": { + "node_id": "node_1648", + "content": "MODIFICATION: Increase 1 thickness by 43%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.71 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.71283650608578, + "fos_buckling": 1.5305108634841154, + "fos_yielding": 4.836770540419736, + "deflection": 0.011225486333494137, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.427)" + }, + "parent_node_id": "node_1647", + "improvement_over_parent": null + }, + "node_1649": { + "node_id": "node_1649", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1648", + "improvement_over_parent": null + }, + "node_1650": { + "node_id": "node_1650", + "content": "INITIAL DESIGN (Trace 233)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0040)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0029)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n Mass: 133.81 kg\n Factor of Safety: 0.66\n Max Deflection: 1.91e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 133.8145267137027, + "fos_buckling": 0.6600612601975516, + "fos_yielding": 3.6350429750122735, + "deflection": 0.01908294764923111, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1651": { + "node_id": "node_1651", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0040)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0029)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n M18: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n\nPerformance:\n Mass: 134.61 kg\n Factor of Safety: 0.69\n Max Deflection: 1.87e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 134.60768598899355, + "fos_buckling": 0.6880908006407555, + "fos_yielding": 3.6350429750122744, + "deflection": 0.018742266727881512, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.001715)" + }, + "parent_node_id": "node_1650", + "improvement_over_parent": null + }, + "node_1652": { + "node_id": "node_1652", + "content": "MODIFICATION: Increase 2 thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0029)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n M18: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n\nPerformance:\n Mass: 136.70 kg\n Factor of Safety: 0.66\n Max Deflection: 1.80e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 136.69803655278415, + "fos_buckling": 0.6635554248303966, + "fos_yielding": 3.6350429750122757, + "deflection": 0.017953319478401116, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.242)" + }, + "parent_node_id": "node_1651", + "improvement_over_parent": null + }, + "node_1653": { + "node_id": "node_1653", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0029)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n M18: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n\nPerformance:\n Mass: 140.43 kg\n Factor of Safety: 0.67\n Max Deflection: 1.75e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 140.4349568040534, + "fos_buckling": 0.6672750374294529, + "fos_yielding": 3.42243087221335, + "deflection": 0.01752687964389512, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.002886)" + }, + "parent_node_id": "node_1652", + "improvement_over_parent": null + }, + "node_1654": { + "node_id": "node_1654", + "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0029)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n M18: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n\nPerformance:\n Mass: 142.63 kg\n Factor of Safety: 1.08\n Max Deflection: 1.59e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 142.62837920222356, + "fos_buckling": 1.078934449424651, + "fos_yielding": 3.4109253991987942, + "deflection": 0.015905141085625345, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.002852)" + }, + "parent_node_id": "node_1653", + "improvement_over_parent": null + }, + "node_1655": { + "node_id": "node_1655", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0062)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0054)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n M18: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n\nPerformance:\n Mass: 182.73 kg\n Factor of Safety: 1.34\n Max Deflection: 1.25e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.726838331446, + "fos_buckling": 1.344329344359029, + "fos_yielding": 4.364413210606015, + "deflection": 0.012488611327178923, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.305)" + }, + "parent_node_id": "node_1654", + "improvement_over_parent": null + }, + "node_1656": { + "node_id": "node_1656", + "content": "MODIFICATION: Increase 7 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0062)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0067)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0054)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n M18: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n\nPerformance:\n Mass: 184.18 kg\n Factor of Safety: 1.34\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.1791381080368, + "fos_buckling": 1.3444694720906474, + "fos_yielding": 5.078418115550245, + "deflection": 0.012419527985840655, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.309)" + }, + "parent_node_id": "node_1655", + "improvement_over_parent": null + }, + "node_1657": { + "node_id": "node_1657", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0075)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n Mass: 204.12 kg\n Factor of Safety: 1.47\n Max Deflection: 1.12e-02 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.117334895507, + "fos_buckling": 1.46945314676363, + "fos_yielding": 5.622998390341924, + "deflection": 0.011238639109389036, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.119)" + }, + "parent_node_id": "node_1656", + "improvement_over_parent": null + }, + "node_1658": { + "node_id": "node_1658", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1657", + "improvement_over_parent": null + }, + "node_1659": { + "node_id": "node_1659", + "content": "INITIAL DESIGN (Trace 234)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0025)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n\nPerformance:\n Mass: 156.55 kg\n Factor of Safety: 0.44\n Max Deflection: 2.08e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 156.54671692334486, + "fos_buckling": 0.4445744297690103, + "fos_yielding": 3.049586691641658, + "deflection": 0.020765461036809683, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1660": { + "node_id": "node_1660", + "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0025)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n Mass: 175.15 kg\n Factor of Safety: 1.35\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.1470568433077, + "fos_buckling": 1.3453819178685804, + "fos_yielding": 4.354527057004082, + "deflection": 0.013111823638313508, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.006830)" + }, + "parent_node_id": "node_1659", + "improvement_over_parent": null + }, + "node_1661": { + "node_id": "node_1661", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0029)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 196.41 kg\n Factor of Safety: 1.48\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.40612440402532, + "fos_buckling": 1.4782146930030162, + "fos_yielding": 4.8787598791394915, + "deflection": 0.011727790512967039, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.133)" + }, + "parent_node_id": "node_1660", + "improvement_over_parent": null + }, + "node_1662": { + "node_id": "node_1662", + "content": "MODIFICATION: Increase 3 thickness by 48%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0029)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 200.71 kg\n Factor of Safety: 1.51\n Max Deflection: 1.14e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 200.7137516544393, + "fos_buckling": 1.5057614851356116, + "fos_yielding": 4.87773633656219, + "deflection": 0.011404703871843568, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.477)" + }, + "parent_node_id": "node_1661", + "improvement_over_parent": null + }, + "node_1663": { + "node_id": "node_1663", + "content": "MODIFICATION: Increase 13 thickness by 65%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 203.62 kg\n Factor of Safety: 1.53\n Max Deflection: 1.13e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 203.61826699509353, + "fos_buckling": 1.5290599568327845, + "fos_yielding": 4.832932196987672, + "deflection": 0.011323931739451147, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.653)" + }, + "parent_node_id": "node_1662", + "improvement_over_parent": null + }, + "node_1664": { + "node_id": "node_1664", + "content": "MODIFICATION: Increase 9 thickness by 62%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.03 kg\n Factor of Safety: 1.53\n Max Deflection: 1.13e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.02576279335682, + "fos_buckling": 1.5286803960257442, + "fos_yielding": 4.841782593426169, + "deflection": 0.011342190135718097, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.621)" + }, + "parent_node_id": "node_1663", + "improvement_over_parent": null + }, + "node_1665": { + "node_id": "node_1665", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n Mass: 204.74 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.74189461983048, + "fos_buckling": 1.530528434688915, + "fos_yielding": 4.837641728886802, + "deflection": 0.01122456528224693, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)" + }, + "parent_node_id": "node_1664", + "improvement_over_parent": null + }, + "node_1666": { + "node_id": "node_1666", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1665", + "improvement_over_parent": null + }, + "node_1667": { + "node_id": "node_1667", + "content": "INITIAL DESIGN (Trace 235)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (17 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0026)]\n M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n Mass: 137.78 kg\n Factor of Safety: 0.53\n Max Deflection: 1.74e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 137.78039898899502, + "fos_buckling": 0.5258839861571327, + "fos_yielding": 3.7184400865753107, + "deflection": 17388454029511.879, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1668": { + "node_id": "node_1668", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0026)]\n M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n M17: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n\nPerformance:\n Mass: 147.89 kg\n Factor of Safety: 0.84\n Max Deflection: 1.98e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 147.88945978536435, + "fos_buckling": 0.8387959280851147, + "fos_yielding": 3.9942181703799253, + "deflection": 0.019827694225025685, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.005140)" + }, + "parent_node_id": "node_1667", + "improvement_over_parent": null + }, + "node_1669": { + "node_id": "node_1669", + "content": "MODIFICATION: Increase 12 thickness by 45%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0026)]\n M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0065)]\n M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n M17: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n\nPerformance:\n Mass: 151.50 kg\n Factor of Safety: 0.84\n Max Deflection: 1.94e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 151.4969098535045, + "fos_buckling": 0.839578133720124, + "fos_yielding": 3.993817387626611, + "deflection": 0.01935702519972041, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.451)" + }, + "parent_node_id": "node_1668", + "improvement_over_parent": null + }, + "node_1670": { + "node_id": "node_1670", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0026)]\n M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0065)]\n M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n M17: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M18: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n\nPerformance:\n Mass: 152.08 kg\n Factor of Safety: 0.30\n Max Deflection: 1.68e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 152.07636940026225, + "fos_buckling": 0.2990306550348952, + "fos_yielding": 3.9937658917298, + "deflection": 0.01680298644265976, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001587)" + }, + "parent_node_id": "node_1669", + "improvement_over_parent": null + }, + "node_1671": { + "node_id": "node_1671", + "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0026)]\n M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0065)]\n M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n M17: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M18: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M19: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n\nPerformance:\n Mass: 159.78 kg\n Factor of Safety: 0.92\n Max Deflection: 1.52e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.77977646078438, + "fos_buckling": 0.9181972035628213, + "fos_yielding": 3.9496234547298186, + "deflection": 0.015161446211131972, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.004154)" + }, + "parent_node_id": "node_1670", + "improvement_over_parent": null + }, + "node_1672": { + "node_id": "node_1672", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0082)]\n M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M17: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M18: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M19: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n Mass: 197.21 kg\n Factor of Safety: 1.09\n Max Deflection: 1.23e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.21486332851342, + "fos_buckling": 1.092796921306541, + "fos_yielding": 4.872437557936594, + "deflection": 0.012347281436641497, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.258)" + }, + "parent_node_id": "node_1671", + "improvement_over_parent": null + }, + "node_1673": { + "node_id": "node_1673", + "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0082)]\n M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M17: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M18: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M19: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n Mass: 206.68 kg\n Factor of Safety: 1.50\n Max Deflection: 1.11e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 206.67917789056824, + "fos_buckling": 1.5025083707761566, + "fos_yielding": 4.873881219356119, + "deflection": 0.011136018224000647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)" + }, + "parent_node_id": "node_1672", + "improvement_over_parent": null + }, + "node_1674": { + "node_id": "node_1674", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1673", + "improvement_over_parent": null + }, + "node_1675": { + "node_id": "node_1675", + "content": "INITIAL DESIGN (Trace 236)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0028)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0034)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0039)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0037)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0022)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0034)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0030)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0030)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0022)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0029)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0023)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0025)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0028)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0030)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0030)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0026)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0034)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0031)]\n\nPerformance:\n Mass: 108.84 kg\n Factor of Safety: 0.76\n Max Deflection: 2.08e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 108.84486050580641, + "fos_buckling": 0.758492291117102, + "fos_yielding": 2.6612723386229598, + "deflection": 0.02084213848275476, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1676": { + "node_id": "node_1676", + "content": "MODIFICATION: Increase 20 thickness by 34%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0028)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0034)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0039)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0037)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0022)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0034)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0030)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0030)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0022)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0029)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0023)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0025)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0028)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0030)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0030)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0026)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0034)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0041)]\n\nPerformance:\n Mass: 111.66 kg\n Factor of Safety: 0.77\n Max Deflection: 2.03e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 111.65755424135341, + "fos_buckling": 0.7688170910904992, + "fos_yielding": 2.661080193584048, + "deflection": 0.02032052529299534, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(20, thickness, 1.337)" + }, + "parent_node_id": "node_1675", + "improvement_over_parent": null + }, + "node_1677": { + "node_id": "node_1677", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0028)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n\nPerformance:\n Mass: 134.54 kg\n Factor of Safety: 0.91\n Max Deflection: 1.69e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 134.53740697196653, + "fos_buckling": 0.9114944679419074, + "fos_yielding": 3.204173933695516, + "deflection": 0.016921525955083512, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.217)" + }, + "parent_node_id": "node_1676", + "improvement_over_parent": null + }, + "node_1678": { + "node_id": "node_1678", + "content": "MODIFICATION: Increase 13 thickness by 38%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n\nPerformance:\n Mass: 136.75 kg\n Factor of Safety: 1.09\n Max Deflection: 1.66e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 136.7524706246058, + "fos_buckling": 1.0891412872839659, + "fos_yielding": 3.2372130818509244, + "deflection": 0.01663901361731069, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.381)" + }, + "parent_node_id": "node_1677", + "improvement_over_parent": null + }, + "node_1679": { + "node_id": "node_1679", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n\nPerformance:\n Mass: 172.75 kg\n Factor of Safety: 1.33\n Max Deflection: 1.32e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.74682828750383, + "fos_buckling": 1.33102900841057, + "fos_yielding": 4.085326648589771, + "deflection": 0.013241638898076261, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.284)" + }, + "parent_node_id": "node_1678", + "improvement_over_parent": null + }, + "node_1680": { + "node_id": "node_1680", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.68 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.67509876606871, + "fos_buckling": 1.5302132831493604, + "fos_yielding": 4.836264239904736, + "deflection": 0.011228125229864777, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.203)" + }, + "parent_node_id": "node_1679", + "improvement_over_parent": null + }, + "node_1681": { + "node_id": "node_1681", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1680", + "improvement_over_parent": null + }, + "node_1682": { + "node_id": "node_1682", + "content": "INITIAL DESIGN (Trace 237)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n\nPerformance:\n Mass: 167.35 kg\n Factor of Safety: 0.33\n Max Deflection: 2.13e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 167.34760870129006, + "fos_buckling": 0.33260314126455265, + "fos_yielding": 3.4150142777426806, + "deflection": 0.021326700647523997, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1683": { + "node_id": "node_1683", + "content": "MODIFICATION: Increase 4 thickness by 46%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n\nPerformance:\n Mass: 168.92 kg\n Factor of Safety: 0.45\n Max Deflection: 2.10e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 168.9204676122561, + "fos_buckling": 0.4485365006472042, + "fos_yielding": 3.4149325851260723, + "deflection": 0.02100200584745453, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.462)" + }, + "parent_node_id": "node_1682", + "improvement_over_parent": null + }, + "node_1684": { + "node_id": "node_1684", + "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 181.46 kg\n Factor of Safety: 0.49\n Max Deflection: 1.95e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.4594599522254, + "fos_buckling": 0.48781582390074407, + "fos_yielding": 3.4142814629707714, + "deflection": 0.019472475973909706, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)" + }, + "parent_node_id": "node_1683", + "improvement_over_parent": null + }, + "node_1685": { + "node_id": "node_1685", + "content": "MODIFICATION: Increase 19 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0074)]\n\nPerformance:\n Mass: 184.01 kg\n Factor of Safety: 0.49\n Max Deflection: 1.94e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.0100916818836, + "fos_buckling": 0.48778066027027733, + "fos_yielding": 3.4141490446928464, + "deflection": 0.01942550568048951, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(19, thickness, 1.229)" + }, + "parent_node_id": "node_1684", + "improvement_over_parent": null + }, + "node_1686": { + "node_id": "node_1686", + "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0074)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.86 kg\n Factor of Safety: 1.50\n Max Deflection: 1.12e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.85830317086211, + "fos_buckling": 1.4967204219555694, + "fos_yielding": 4.862870451900279, + "deflection": 0.011193430020375152, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.007737)" + }, + "parent_node_id": "node_1685", + "improvement_over_parent": null + }, + "node_1687": { + "node_id": "node_1687", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1686", + "improvement_over_parent": null + }, + "node_1688": { + "node_id": "node_1688", + "content": "INITIAL DESIGN (Trace 238)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0031)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0042)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0040)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0037)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0033)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0031)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0030)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0033)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n\nPerformance:\n Mass: 104.37 kg\n Factor of Safety: 0.31\n Max Deflection: 3.10e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 104.37360491724745, + "fos_buckling": 0.3139082448734062, + "fos_yielding": 2.042298280964869, + "deflection": 0.030997575421908705, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1689": { + "node_id": "node_1689", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n\nPerformance:\n Mass: 135.66 kg\n Factor of Safety: 0.39\n Max Deflection: 2.39e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 135.6567468543807, + "fos_buckling": 0.39471271554603904, + "fos_yielding": 2.6498511500991997, + "deflection": 0.023917333565106298, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.321)" + }, + "parent_node_id": "node_1688", + "improvement_over_parent": null + }, + "node_1690": { + "node_id": "node_1690", + "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n\nPerformance:\n Mass: 142.32 kg\n Factor of Safety: 0.39\n Max Deflection: 2.38e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 142.32084257146255, + "fos_buckling": 0.39433973569429165, + "fos_yielding": 2.648505758269713, + "deflection": 0.023768860326524723, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.003765)" + }, + "parent_node_id": "node_1689", + "improvement_over_parent": null + }, + "node_1691": { + "node_id": "node_1691", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n Mass: 183.94 kg\n Factor of Safety: 0.49\n Max Deflection: 1.85e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.9401541431185, + "fos_buckling": 0.4879076308907748, + "fos_yielding": 3.4150554049668407, + "deflection": 0.018463597293044316, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.321)" + }, + "parent_node_id": "node_1690", + "improvement_over_parent": null + }, + "node_1692": { + "node_id": "node_1692", + "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.79 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.788365632097, + "fos_buckling": 1.5305878370444101, + "fos_yielding": 4.839129504043609, + "deflection": 0.011221897416416717, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.007737)" + }, + "parent_node_id": "node_1691", + "improvement_over_parent": null + }, + "node_1693": { + "node_id": "node_1693", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1692", + "improvement_over_parent": null + }, + "node_1694": { + "node_id": "node_1694", + "content": "INITIAL DESIGN (Trace 239)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0032)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n\nPerformance:\n Mass: 160.56 kg\n Factor of Safety: 0.60\n Max Deflection: 1.56e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 160.55584096182903, + "fos_buckling": 0.5955778503276582, + "fos_yielding": 3.971566125587148, + "deflection": 0.015585344824462688, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1695": { + "node_id": "node_1695", + "content": "MODIFICATION: Increase 16 thickness by 43%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n\nPerformance:\n Mass: 163.21 kg\n Factor of Safety: 0.76\n Max Deflection: 1.52e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.21086387466357, + "fos_buckling": 0.7551433161184329, + "fos_yielding": 3.9730300956859197, + "deflection": 0.015200278375757662, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.429)" + }, + "parent_node_id": "node_1694", + "improvement_over_parent": null + }, + "node_1696": { + "node_id": "node_1696", + "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n\nPerformance:\n Mass: 165.75 kg\n Factor of Safety: 1.20\n Max Deflection: 1.38e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.74876945012775, + "fos_buckling": 1.2045293800878825, + "fos_yielding": 3.96047738093391, + "deflection": 0.013755951191548661, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003334)" + }, + "parent_node_id": "node_1695", + "improvement_over_parent": null + }, + "node_1697": { + "node_id": "node_1697", + "content": "MODIFICATION: Increase 4 thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n\nPerformance:\n Mass: 166.75 kg\n Factor of Safety: 1.29\n Max Deflection: 1.37e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.75223338897246, + "fos_buckling": 1.292049143610133, + "fos_yielding": 3.944096956374779, + "deflection": 0.013705823681482364, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.325)" + }, + "parent_node_id": "node_1696", + "improvement_over_parent": null + }, + "node_1698": { + "node_id": "node_1698", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n Mass: 204.72 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.71777530021046, + "fos_buckling": 1.5304981472952324, + "fos_yielding": 4.83715178080466, + "deflection": 0.01122598904625676, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.250)" + }, + "parent_node_id": "node_1697", + "improvement_over_parent": null + }, + "node_1699": { + "node_id": "node_1699", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1698", + "improvement_over_parent": null + }, + "node_1700": { + "node_id": "node_1700", + "content": "INITIAL DESIGN (Trace 240)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0046)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0043)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0040)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0035)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0037)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0029)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0025)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0048)]\n\nPerformance:\n Mass: 129.90 kg\n Factor of Safety: 1.03\n Max Deflection: 1.75e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 129.90142712000463, + "fos_buckling": 1.0318131100550112, + "fos_yielding": 3.1169489192778945, + "deflection": 0.017542553017567578, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1701": { + "node_id": "node_1701", + "content": "MODIFICATION: Increase 16 thickness by 40%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0046)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0043)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0040)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0035)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0037)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0029)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0048)]\n\nPerformance:\n Mass: 131.84 kg\n Factor of Safety: 1.05\n Max Deflection: 1.72e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 131.839597613004, + "fos_buckling": 1.0546851761508627, + "fos_yielding": 3.1211805689988155, + "deflection": 0.017246710752179262, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.397)" + }, + "parent_node_id": "node_1700", + "improvement_over_parent": null + }, + "node_1702": { + "node_id": "node_1702", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n Mass: 158.30 kg\n Factor of Safety: 1.24\n Max Deflection: 1.44e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 158.30015282497487, + "fos_buckling": 1.2361511691527287, + "fos_yielding": 3.744952034939993, + "deflection": 0.014419691133605205, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.215)" + }, + "parent_node_id": "node_1701", + "improvement_over_parent": null + }, + "node_1703": { + "node_id": "node_1703", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.88 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.8791056220158, + "fos_buckling": 1.5314284847939559, + "fos_yielding": 4.840840739320429, + "deflection": 0.011217348413277178, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.323)" + }, + "parent_node_id": "node_1702", + "improvement_over_parent": null + }, + "node_1704": { + "node_id": "node_1704", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1703", + "improvement_over_parent": null + }, + "node_1705": { + "node_id": "node_1705", + "content": "INITIAL DESIGN (Trace 241)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n Mass: 179.30 kg\n Factor of Safety: 0.49\n Max Deflection: 1.86e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.29601509502697, + "fos_buckling": 0.4879861895394677, + "fos_yielding": 3.4144258711342474, + "deflection": 0.018642280119776432, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1706": { + "node_id": "node_1706", + "content": "MODIFICATION: Increase 4 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n Mass: 180.11 kg\n Factor of Safety: 0.49\n Max Deflection: 1.86e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.1102856240609, + "fos_buckling": 0.48797495541402025, + "fos_yielding": 3.414383592875042, + "deflection": 0.018629336112464107, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.199)" + }, + "parent_node_id": "node_1705", + "improvement_over_parent": null + }, + "node_1707": { + "node_id": "node_1707", + "content": "MODIFICATION: Increase 17 thickness by 53%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n Mass: 183.85 kg\n Factor of Safety: 0.49\n Max Deflection: 1.85e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.85187806335784, + "fos_buckling": 0.48771699243005384, + "fos_yielding": 3.413412533122198, + "deflection": 0.01847246562232726, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.534)" + }, + "parent_node_id": "node_1706", + "improvement_over_parent": null + }, + "node_1708": { + "node_id": "node_1708", + "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70008955233635, + "fos_buckling": 1.5304515379464425, + "fos_yielding": 4.836776760506579, + "deflection": 0.011226642548250171, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.007737)" + }, + "parent_node_id": "node_1707", + "improvement_over_parent": null + }, + "node_1709": { + "node_id": "node_1709", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1708", + "improvement_over_parent": null + }, + "node_1710": { + "node_id": "node_1710", + "content": "INITIAL DESIGN (Trace 242)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0026)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0030)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0035)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0033)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0020)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0031)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0034)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0027)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0027)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0012)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0026)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0029)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0014)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0025)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0027)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0027)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0024)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0030)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0037)]\n\nPerformance:\n Mass: 99.80 kg\n Factor of Safety: 0.49\n Max Deflection: 2.46e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 99.80211628554375, + "fos_buckling": 0.489171079065632, + "fos_yielding": 2.462886205765876, + "deflection": 0.02457496529946889, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1711": { + "node_id": "node_1711", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0046)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0043)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0019)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n\nPerformance:\n Mass: 129.26 kg\n Factor of Safety: 0.62\n Max Deflection: 1.90e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 129.2568336559765, + "fos_buckling": 0.6187290969987286, + "fos_yielding": 3.186837677306148, + "deflection": 0.019025999339806254, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.312)" + }, + "parent_node_id": "node_1710", + "improvement_over_parent": null + }, + "node_1712": { + "node_id": "node_1712", + "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0046)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0043)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0019)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n\nPerformance:\n Mass: 131.28 kg\n Factor of Safety: 1.05\n Max Deflection: 1.72e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 131.2824746560652, + "fos_buckling": 1.050483601956757, + "fos_yielding": 3.1775155826962154, + "deflection": 0.017222006191037455, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.002621)" + }, + "parent_node_id": "node_1711", + "improvement_over_parent": null + }, + "node_1713": { + "node_id": "node_1713", + "content": "MODIFICATION: Increase 14 thickness by 57%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0046)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0043)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0019)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n\nPerformance:\n Mass: 134.53 kg\n Factor of Safety: 1.06\n Max Deflection: 1.71e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 134.5295177884589, + "fos_buckling": 1.055673118275134, + "fos_yielding": 3.1737348508446654, + "deflection": 0.01713124540601663, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.575)" + }, + "parent_node_id": "node_1712", + "improvement_over_parent": null + }, + "node_1714": { + "node_id": "node_1714", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0025)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0068)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n\nPerformance:\n Mass: 173.23 kg\n Factor of Safety: 1.31\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.22953453842433, + "fos_buckling": 1.3076086907978517, + "fos_yielding": 4.084979135321585, + "deflection": 0.013373561265032927, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.311)" + }, + "parent_node_id": "node_1713", + "improvement_over_parent": null + }, + "node_1715": { + "node_id": "node_1715", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0082)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n Mass: 206.55 kg\n Factor of Safety: 1.51\n Max Deflection: 1.13e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 206.55461394547862, + "fos_buckling": 1.506752504838538, + "fos_yielding": 4.869189576521935, + "deflection": 0.01126556299345879, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.212)" + }, + "parent_node_id": "node_1714", + "improvement_over_parent": null + }, + "node_1716": { + "node_id": "node_1716", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1715", + "improvement_over_parent": null + }, + "node_1717": { + "node_id": "node_1717", + "content": "INITIAL DESIGN (Trace 243)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0049)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0046)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0043)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0036)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0040)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0025)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n\nPerformance:\n Mass: 118.50 kg\n Factor of Safety: 0.74\n Max Deflection: 1.93e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 118.49902328703845, + "fos_buckling": 0.7382628310531344, + "fos_yielding": 3.3722162185376474, + "deflection": 0.019275581316774256, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1718": { + "node_id": "node_1718", + "content": "MODIFICATION: Increase 13 thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0049)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0046)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0043)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0036)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0040)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n\nPerformance:\n Mass: 119.57 kg\n Factor of Safety: 0.74\n Max Deflection: 1.92e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 119.56656387147171, + "fos_buckling": 0.7383319589537244, + "fos_yielding": 3.3608536411705137, + "deflection": 0.019233137489212033, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.266)" + }, + "parent_node_id": "node_1717", + "improvement_over_parent": null + }, + "node_1719": { + "node_id": "node_1719", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n Mass: 135.54 kg\n Factor of Safety: 0.83\n Max Deflection: 1.70e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 135.53885572931534, + "fos_buckling": 0.8258183829322343, + "fos_yielding": 3.8076345791569497, + "deflection": 0.017014566652532058, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.143)" + }, + "parent_node_id": "node_1718", + "improvement_over_parent": null + }, + "node_1720": { + "node_id": "node_1720", + "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n\nPerformance:\n Mass: 137.95 kg\n Factor of Safety: 0.36\n Max Deflection: 1.85e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 137.9547034952172, + "fos_buckling": 0.3615093266599748, + "fos_yielding": 3.807520459793571, + "deflection": 0.018460880081081862, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003162)" + }, + "parent_node_id": "node_1719", + "improvement_over_parent": null + }, + "node_1721": { + "node_id": "node_1721", + "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n\nPerformance:\n Mass: 148.72 kg\n Factor of Safety: 0.45\n Max Deflection: 1.67e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 148.72355679042505, + "fos_buckling": 0.4531921269889069, + "fos_yielding": 3.8072661358699693, + "deflection": 0.016727808001968863, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.004792)" + }, + "parent_node_id": "node_1720", + "improvement_over_parent": null + }, + "node_1722": { + "node_id": "node_1722", + "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n\nPerformance:\n Mass: 156.10 kg\n Factor of Safety: 1.05\n Max Deflection: 1.52e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 156.10366866185697, + "fos_buckling": 1.054430851413065, + "fos_yielding": 3.7584617378691783, + "deflection": 0.015167814003977834, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.003967)" + }, + "parent_node_id": "node_1721", + "improvement_over_parent": null + }, + "node_1723": { + "node_id": "node_1723", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n Mass: 201.39 kg\n Factor of Safety: 1.32\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.3914543517173, + "fos_buckling": 1.318263221223371, + "fos_yielding": 4.841342444522663, + "deflection": 0.011823002400314775, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.318)" + }, + "parent_node_id": "node_1722", + "improvement_over_parent": null + }, + "node_1724": { + "node_id": "node_1724", + "content": "MODIFICATION: Increase 6 thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n Mass: 204.79 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.78775088877643, + "fos_buckling": 1.5308681092170102, + "fos_yielding": 4.838764655558117, + "deflection": 0.011221876376991706, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.316)" + }, + "parent_node_id": "node_1723", + "improvement_over_parent": null + }, + "node_1725": { + "node_id": "node_1725", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1724", + "improvement_over_parent": null + }, + "node_1726": { + "node_id": "node_1726", + "content": "INITIAL DESIGN (Trace 244)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n Mass: 134.03 kg\n Factor of Safety: 0.23\n Max Deflection: 4.50e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 134.03480338510877, + "fos_buckling": 0.23162881341657304, + "fos_yielding": 1.1546829813433073, + "deflection": 0.04499835636710151, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1727": { + "node_id": "node_1727", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 166.93 kg\n Factor of Safety: 0.28\n Max Deflection: 3.63e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.93320691443128, + "fos_buckling": 0.2770192789651469, + "fos_yielding": 1.4317083243002073, + "deflection": 0.03630060535999204, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.269)" + }, + "parent_node_id": "node_1726", + "improvement_over_parent": null + }, + "node_1728": { + "node_id": "node_1728", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 172.24 kg\n Factor of Safety: 0.28\n Max Deflection: 3.59e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.24125239142577, + "fos_buckling": 0.27689607268612465, + "fos_yielding": 1.4107054314350036, + "deflection": 0.03592813673932715, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)" + }, + "parent_node_id": "node_1727", + "improvement_over_parent": null + }, + "node_1729": { + "node_id": "node_1729", + "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n Mass: 186.13 kg\n Factor of Safety: 0.28\n Max Deflection: 3.40e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 186.12615926704737, + "fos_buckling": 0.27657430456664917, + "fos_yielding": 1.4090404639449918, + "deflection": 0.03397054643997767, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)" + }, + "parent_node_id": "node_1728", + "improvement_over_parent": null + }, + "node_1730": { + "node_id": "node_1730", + "content": "MODIFICATION: Increase 1 thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n Mass: 188.61 kg\n Factor of Safety: 0.28\n Max Deflection: 3.38e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.60973064409995, + "fos_buckling": 0.2764019502167462, + "fos_yielding": 1.3904437413861173, + "deflection": 0.03384721733323935, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.289)" + }, + "parent_node_id": "node_1729", + "improvement_over_parent": null + }, + "node_1731": { + "node_id": "node_1731", + "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 203.79 kg\n Factor of Safety: 1.39\n Max Deflection: 1.13e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.79428465900136, + "fos_buckling": 1.3870297119521702, + "fos_yielding": 4.579841173485645, + "deflection": 0.011280731907849267, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)" + }, + "parent_node_id": "node_1730", + "improvement_over_parent": null + }, + "node_1732": { + "node_id": "node_1732", + "content": "MODIFICATION: Increase 12 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0059)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 205.50 kg\n Factor of Safety: 1.39\n Max Deflection: 1.12e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.49867376205592, + "fos_buckling": 1.387027784920979, + "fos_yielding": 4.579834810610563, + "deflection": 0.01124645362340359, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.247)" + }, + "parent_node_id": "node_1731", + "improvement_over_parent": null + }, + "node_1733": { + "node_id": "node_1733", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1732", + "improvement_over_parent": null + }, + "node_1734": { + "node_id": "node_1734", + "content": "INITIAL DESIGN (Trace 245)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 170.38 kg\n Factor of Safety: 0.34\n Max Deflection: 3.20e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.37711905833953, + "fos_buckling": 0.3378841352525861, + "fos_yielding": 1.7742480674148982, + "deflection": 0.032017091326795734, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1735": { + "node_id": "node_1735", + "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n Mass: 184.26 kg\n Factor of Safety: 0.34\n Max Deflection: 3.11e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.26202593396113, + "fos_buckling": 0.33749172520867643, + "fos_yielding": 1.7072395656445838, + "deflection": 0.03109967544824422, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)" + }, + "parent_node_id": "node_1734", + "improvement_over_parent": null + }, + "node_1736": { + "node_id": "node_1736", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n Mass: 196.75 kg\n Factor of Safety: 1.15\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.74983301097788, + "fos_buckling": 1.1542140766873417, + "fos_yielding": 5.162258209849386, + "deflection": 0.011869405593071569, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.006468)" + }, + "parent_node_id": "node_1735", + "improvement_over_parent": null + }, + "node_1737": { + "node_id": "node_1737", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n Mass: 204.53 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.53148152323035, + "fos_buckling": 1.5302140272922158, + "fos_yielding": 4.837239904006939, + "deflection": 0.011239096570891668, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004727)" + }, + "parent_node_id": "node_1736", + "improvement_over_parent": null + }, + "node_1738": { + "node_id": "node_1738", + "content": "MODIFICATION: Increase 10 thickness by 34%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0056)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n Mass: 205.46 kg\n Factor of Safety: 1.55\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 205.4615858571413, + "fos_buckling": 1.5472878410952173, + "fos_yielding": 4.836543383885207, + "deflection": 0.011228574195337711, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.340)" + }, + "parent_node_id": "node_1737", + "improvement_over_parent": null + }, + "node_1739": { + "node_id": "node_1739", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1738", + "improvement_over_parent": null + }, + "node_1740": { + "node_id": "node_1740", + "content": "INITIAL DESIGN (Trace 246)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n\nPerformance:\n Mass: 155.31 kg\n Factor of Safety: 0.96\n Max Deflection: 1.55e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 155.30833037096397, + "fos_buckling": 0.9560958097257802, + "fos_yielding": 4.37976501357679, + "deflection": 0.01548068773144398, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1741": { + "node_id": "node_1741", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n\nPerformance:\n Mass: 159.81 kg\n Factor of Safety: 0.96\n Max Deflection: 1.47e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.81153180446452, + "fos_buckling": 0.9559738937003924, + "fos_yielding": 4.101839208890254, + "deflection": 0.01470038841932486, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003525)" + }, + "parent_node_id": "node_1740", + "improvement_over_parent": null + }, + "node_1742": { + "node_id": "node_1742", + "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n\nPerformance:\n Mass: 171.59 kg\n Factor of Safety: 1.34\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.59133480300636, + "fos_buckling": 1.3356840404377406, + "fos_yielding": 4.102905056797401, + "deflection": 0.01334638445692773, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.005278)" + }, + "parent_node_id": "node_1741", + "improvement_over_parent": null + }, + "node_1743": { + "node_id": "node_1743", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n Mass: 202.24 kg\n Factor of Safety: 1.53\n Max Deflection: 1.14e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 202.2430837599796, + "fos_buckling": 1.5294404967571358, + "fos_yielding": 4.831164967750155, + "deflection": 0.011373114937869569, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.196)" + }, + "parent_node_id": "node_1742", + "improvement_over_parent": null + }, + "node_1744": { + "node_id": "node_1744", + "content": "MODIFICATION: Increase 16 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0075)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n Mass: 205.37 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 205.3730294598999, + "fos_buckling": 1.5314377638319994, + "fos_yielding": 4.831921000145367, + "deflection": 0.011517684905260063, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.311)" + }, + "parent_node_id": "node_1743", + "improvement_over_parent": null + }, + "node_1745": { + "node_id": "node_1745", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1744", + "improvement_over_parent": null + }, + "node_1746": { + "node_id": "node_1746", + "content": "INITIAL DESIGN (Trace 247)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0028)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 0, + "fos_buckling": 0, + "fos_yielding": 0, + "deflection": Infinity, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1747": { + "node_id": "node_1747", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0028)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n\nPerformance:\n Mass: 127.26 kg\n Factor of Safety: 0.82\n Max Deflection: 1.86e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 127.26056669148211, + "fos_buckling": 0.8190963226105925, + "fos_yielding": 3.3968100088151094, + "deflection": 0.018594048300954253, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.002685)" + }, + "parent_node_id": "node_1746", + "improvement_over_parent": null + }, + "node_1748": { + "node_id": "node_1748", + "content": "MODIFICATION: Increase 1 thickness by 43%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n\nPerformance:\n Mass: 129.54 kg\n Factor of Safety: 0.82\n Max Deflection: 1.78e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 129.53500957577654, + "fos_buckling": 0.818317409964322, + "fos_yielding": 3.3968100088151094, + "deflection": 0.017845919271324277, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.433)" + }, + "parent_node_id": "node_1747", + "improvement_over_parent": null + }, + "node_1749": { + "node_id": "node_1749", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n\nPerformance:\n Mass: 134.65 kg\n Factor of Safety: 1.07\n Max Deflection: 1.69e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 134.65374613852288, + "fos_buckling": 1.0744832553391912, + "fos_yielding": 3.187635921842693, + "deflection": 0.016893101048071835, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003010)" + }, + "parent_node_id": "node_1748", + "improvement_over_parent": null + }, + "node_1750": { + "node_id": "node_1750", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n\nPerformance:\n Mass: 175.29 kg\n Factor of Safety: 1.35\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.28897867735697, + "fos_buckling": 1.3474341614938947, + "fos_yielding": 4.145068045117956, + "deflection": 0.013054412110075731, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.326)" + }, + "parent_node_id": "node_1749", + "improvement_over_parent": null + }, + "node_1751": { + "node_id": "node_1751", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n Mass: 204.81 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.80883208752346, + "fos_buckling": 1.531035890421379, + "fos_yielding": 4.839297123624858, + "deflection": 0.011220983064194657, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.185)" + }, + "parent_node_id": "node_1750", + "improvement_over_parent": null + }, + "node_1752": { + "node_id": "node_1752", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1751", + "improvement_over_parent": null + }, + "node_1753": { + "node_id": "node_1753", + "content": "INITIAL DESIGN (Trace 248)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0044)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0042)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0039)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0034)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0011)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0036)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0032)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0035)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0047)]\n\nPerformance:\n Mass: 116.27 kg\n Factor of Safety: 0.46\n Max Deflection: 2.40e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 116.26731733285436, + "fos_buckling": 0.459139000905732, + "fos_yielding": 1.915480411849156, + "deflection": 0.024000090886858953, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1754": { + "node_id": "node_1754", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0044)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0042)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0039)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0034)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0011)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0036)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0032)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0035)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0047)]\n M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n\nPerformance:\n Mass: 123.17 kg\n Factor of Safety: 0.78\n Max Deflection: 1.88e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 123.16819218712502, + "fos_buckling": 0.7845748217050146, + "fos_yielding": 3.2347382065020605, + "deflection": 0.01876522558682162, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.003401)" + }, + "parent_node_id": "node_1753", + "improvement_over_parent": null + }, + "node_1755": { + "node_id": "node_1755", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n\nPerformance:\n Mass: 159.37 kg\n Factor of Safety: 0.98\n Max Deflection: 1.46e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.3746604666659, + "fos_buckling": 0.9756338252971775, + "fos_yielding": 4.184834591581914, + "deflection": 0.014585112554979532, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.316)" + }, + "parent_node_id": "node_1754", + "improvement_over_parent": null + }, + "node_1756": { + "node_id": "node_1756", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n\nPerformance:\n Mass: 196.54 kg\n Factor of Safety: 1.15\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.53946714839066, + "fos_buckling": 1.1538663260566397, + "fos_yielding": 5.159699727884211, + "deflection": 0.011896144935358129, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.256)" + }, + "parent_node_id": "node_1755", + "improvement_over_parent": null + }, + "node_1757": { + "node_id": "node_1757", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n Mass: 204.32 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.32111566064313, + "fos_buckling": 1.5299020639900678, + "fos_yielding": 4.82827002145863, + "deflection": 0.011228369262759432, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004727)" + }, + "parent_node_id": "node_1756", + "improvement_over_parent": null + }, + "node_1758": { + "node_id": "node_1758", + "content": "MODIFICATION: Increase 9 thickness by 37%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n Mass: 204.61 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.60507170150643, + "fos_buckling": 1.5297831931853538, + "fos_yielding": 4.834357797148042, + "deflection": 0.01123204173952322, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.370)" + }, + "parent_node_id": "node_1757", + "improvement_over_parent": null + }, + "node_1759": { + "node_id": "node_1759", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1758", + "improvement_over_parent": null + }, + "node_1760": { + "node_id": "node_1760", + "content": "INITIAL DESIGN (Trace 249)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0029)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0040)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0042)]\n\nPerformance:\n Mass: 126.45 kg\n Factor of Safety: 0.07\n Max Deflection: 2.68e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 126.45280668496108, + "fos_buckling": 0.0660462313694156, + "fos_yielding": 0.9796451461979283, + "deflection": 26768832699722.344, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1761": { + "node_id": "node_1761", + "content": "MODIFICATION: Increase 1 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0029)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0040)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0042)]\n\nPerformance:\n Mass: 128.60 kg\n Factor of Safety: 0.08\n Max Deflection: 1.97e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 128.60125514046985, + "fos_buckling": 0.083955939287456, + "fos_yielding": 1.9721688255087158, + "deflection": 19741880714470.82, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.355)" + }, + "parent_node_id": "node_1760", + "improvement_over_parent": null + }, + "node_1762": { + "node_id": "node_1762", + "content": "MODIFICATION: Increase 18 thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0029)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0040)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0054)]\n\nPerformance:\n Mass: 131.92 kg\n Factor of Safety: 0.07\n Max Deflection: 6.12e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 131.92188755891394, + "fos_buckling": 0.0660462313694156, + "fos_yielding": 0.9860844127543577, + "deflection": 61249662548943.516, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(18, thickness, 1.302)" + }, + "parent_node_id": "node_1761", + "improvement_over_parent": null + }, + "node_1763": { + "node_id": "node_1763", + "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0029)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0040)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0054)]\n M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0040)]\n\nPerformance:\n Mass: 140.17 kg\n Factor of Safety: 0.77\n Max Deflection: 1.50e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 140.16675970744956, + "fos_buckling": 0.7667358102288222, + "fos_yielding": 3.481964073604361, + "deflection": 0.015000624846488666, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004024)" + }, + "parent_node_id": "node_1762", + "improvement_over_parent": null + }, + "node_1764": { + "node_id": "node_1764", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0057)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0066)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0054)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0057)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n\nPerformance:\n Mass: 175.55 kg\n Factor of Safety: 0.93\n Max Deflection: 1.20e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.55469055049542, + "fos_buckling": 0.9323866356541475, + "fos_yielding": 4.356591880433861, + "deflection": 0.012019831593175496, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.274)" + }, + "parent_node_id": "node_1763", + "improvement_over_parent": null + }, + "node_1765": { + "node_id": "node_1765", + "content": "MODIFICATION: Increase 0 thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0057)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0066)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0054)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0057)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n\nPerformance:\n Mass: 177.17 kg\n Factor of Safety: 0.93\n Max Deflection: 1.20e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.16969604456153, + "fos_buckling": 0.9325178990552766, + "fos_yielding": 4.383912433452611, + "deflection": 0.011957154707695304, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.287)" + }, + "parent_node_id": "node_1764", + "improvement_over_parent": null + }, + "node_1766": { + "node_id": "node_1766", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n Mass: 196.03 kg\n Factor of Safety: 1.02\n Max Deflection: 1.08e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.03252717184142, + "fos_buckling": 1.0155027893726891, + "fos_yielding": 4.848164894433303, + "deflection": 0.010826785914334726, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.117)" + }, + "parent_node_id": "node_1765", + "improvement_over_parent": null + }, + "node_1767": { + "node_id": "node_1767", + "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n Mass: 204.64 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.6430162049153, + "fos_buckling": 1.5295692557239096, + "fos_yielding": 4.8354531366645785, + "deflection": 0.011229685453932527, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)" + }, + "parent_node_id": "node_1766", + "improvement_over_parent": null + }, + "node_1768": { + "node_id": "node_1768", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1767", + "improvement_over_parent": null + }, + "node_1769": { + "node_id": "node_1769", + "content": "INITIAL DESIGN (Trace 250)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n\nPerformance:\n Mass: 144.67 kg\n Factor of Safety: 0.13\n Max Deflection: 1.80e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 144.67384026716658, + "fos_buckling": 0.12948589429920865, + "fos_yielding": 1.3147792170058106, + "deflection": 18015621859463.508, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1770": { + "node_id": "node_1770", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 173.00 kg\n Factor of Safety: 0.56\n Max Deflection: 1.18e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.99526694502282, + "fos_buckling": 0.5633913123819257, + "fos_yielding": 5.2150464682494215, + "deflection": 11776815782961.469, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.215)" + }, + "parent_node_id": "node_1769", + "improvement_over_parent": null + }, + "node_1771": { + "node_id": "node_1771", + "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n Mass: 186.88 kg\n Factor of Safety: 0.48\n Max Deflection: 1.49e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 186.88017382064442, + "fos_buckling": 0.4829068391845078, + "fos_yielding": 3.9443376510174306, + "deflection": 14908686029311.338, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)" + }, + "parent_node_id": "node_1770", + "improvement_over_parent": null + }, + "node_1772": { + "node_id": "node_1772", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 192.19 kg\n Factor of Safety: 0.45\n Max Deflection: 1.44e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.1882192976389, + "fos_buckling": 0.4477260325951632, + "fos_yielding": 4.135395070162362, + "deflection": 0.014355246516157102, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)" + }, + "parent_node_id": "node_1771", + "improvement_over_parent": null + }, + "node_1773": { + "node_id": "node_1773", + "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 204.73 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.7272116376082, + "fos_buckling": 1.530559224753761, + "fos_yielding": 4.837504773430962, + "deflection": 0.011225306141673108, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)" + }, + "parent_node_id": "node_1772", + "improvement_over_parent": null + }, + "node_1774": { + "node_id": "node_1774", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1773", + "improvement_over_parent": null + }, + "node_1775": { + "node_id": "node_1775", + "content": "INITIAL DESIGN (Trace 251)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0030)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0041)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0038)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0023)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0028)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0031)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0032)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0030)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0033)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0029)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0031)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0032)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0043)]\n\nPerformance:\n Mass: 110.26 kg\n Factor of Safety: 0.56\n Max Deflection: 2.23e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 110.26147068256198, + "fos_buckling": 0.5568546069690719, + "fos_yielding": 2.9800826763783994, + "deflection": 0.02230478241313118, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1776": { + "node_id": "node_1776", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0032)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n\nPerformance:\n Mass: 128.06 kg\n Factor of Safety: 0.64\n Max Deflection: 1.92e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 128.05918484664957, + "fos_buckling": 0.6370223773864222, + "fos_yielding": 3.460467836485779, + "deflection": 0.019236105581530594, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.171)" + }, + "parent_node_id": "node_1775", + "improvement_over_parent": null + }, + "node_1777": { + "node_id": "node_1777", + "content": "MODIFICATION: Increase 5 thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n\nPerformance:\n Mass: 129.88 kg\n Factor of Safety: 0.63\n Max Deflection: 1.88e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 129.87665844101633, + "fos_buckling": 0.6326790306668421, + "fos_yielding": 3.460467836485779, + "deflection": 0.018846512338362504, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.294)" + }, + "parent_node_id": "node_1776", + "improvement_over_parent": null + }, + "node_1778": { + "node_id": "node_1778", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n Mass: 153.11 kg\n Factor of Safety: 0.73\n Max Deflection: 1.60e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 153.1122485055378, + "fos_buckling": 0.7313489380784357, + "fos_yielding": 4.07911811188429, + "deflection": 0.016021587351043514, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.192)" + }, + "parent_node_id": "node_1777", + "improvement_over_parent": null + }, + "node_1779": { + "node_id": "node_1779", + "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n\nPerformance:\n Mass: 155.58 kg\n Factor of Safety: 0.96\n Max Deflection: 1.49e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 155.57504653185535, + "fos_buckling": 0.9551205079333001, + "fos_yielding": 4.07911811188429, + "deflection": 0.014920206308762908, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003228)" + }, + "parent_node_id": "node_1778", + "improvement_over_parent": null + }, + "node_1780": { + "node_id": "node_1780", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n\nPerformance:\n Mass: 161.73 kg\n Factor of Safety: 1.26\n Max Deflection: 1.41e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 161.7269618175762, + "fos_buckling": 1.258950815346749, + "fos_yielding": 3.825560239315796, + "deflection": 0.014121386789186762, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003662)" + }, + "parent_node_id": "node_1779", + "improvement_over_parent": null + }, + "node_1781": { + "node_id": "node_1781", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n Mass: 204.46 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.45534419959864, + "fos_buckling": 1.5289145608272519, + "fos_yielding": 4.830746995344702, + "deflection": 0.011240021207545714, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.290)" + }, + "parent_node_id": "node_1780", + "improvement_over_parent": null + }, + "node_1782": { + "node_id": "node_1782", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1781", + "improvement_over_parent": null + }, + "node_1783": { + "node_id": "node_1783", + "content": "INITIAL DESIGN (Trace 252)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 188.79 kg\n Factor of Safety: 0.24\n Max Deflection: 1.21e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.7873154517213, + "fos_buckling": 0.23782290058566455, + "fos_yielding": 4.59168577892933, + "deflection": 0.012051811291306875, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1784": { + "node_id": "node_1784", + "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n Mass: 200.21 kg\n Factor of Safety: 1.35\n Max Deflection: 1.13e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.21451561776092, + "fos_buckling": 1.3490455021522554, + "fos_yielding": 4.829177382596305, + "deflection": 0.01134786900930229, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.005728)" + }, + "parent_node_id": "node_1783", + "improvement_over_parent": null + }, + "node_1785": { + "node_id": "node_1785", + "content": "MODIFICATION: Increase 11 thickness by 61%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n Mass: 201.33 kg\n Factor of Safety: 1.46\n Max Deflection: 1.13e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.33096397443316, + "fos_buckling": 1.464770843166852, + "fos_yielding": 4.8276214831324165, + "deflection": 0.011335373105005282, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.613)" + }, + "parent_node_id": "node_1784", + "improvement_over_parent": null + }, + "node_1786": { + "node_id": "node_1786", + "content": "MODIFICATION: Increase 12 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n Mass: 202.07 kg\n Factor of Safety: 1.45\n Max Deflection: 1.13e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.07047388230905, + "fos_buckling": 1.4498561701851138, + "fos_yielding": 4.827701035650235, + "deflection": 0.011296793642618874, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.183)" + }, + "parent_node_id": "node_1785", + "improvement_over_parent": null + }, + "node_1787": { + "node_id": "node_1787", + "content": "MODIFICATION: Increase 7 thickness by 34%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n Mass: 204.31 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.30751680919627, + "fos_buckling": 1.5304396952176027, + "fos_yielding": 4.827781469719145, + "deflection": 0.011221623754506417, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.340)" + }, + "parent_node_id": "node_1786", + "improvement_over_parent": null + }, + "node_1788": { + "node_id": "node_1788", + "content": "MODIFICATION: Increase 9 thickness by 57%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n Mass: 204.69 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.69286163647473, + "fos_buckling": 1.5302663183284155, + "fos_yielding": 4.836792805798559, + "deflection": 0.01122697892385814, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.570)" + }, + "parent_node_id": "node_1787", + "improvement_over_parent": null + }, + "node_1789": { + "node_id": "node_1789", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1788", + "improvement_over_parent": null + }, + "node_1790": { + "node_id": "node_1790", + "content": "INITIAL DESIGN (Trace 253)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0025)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n\nPerformance:\n Mass: 132.04 kg\n Factor of Safety: 0.71\n Max Deflection: 1.83e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 132.03592632377544, + "fos_buckling": 0.7141320646056054, + "fos_yielding": 3.126965377261609, + "deflection": 0.018285713877848348, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1791": { + "node_id": "node_1791", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0025)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n M20: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n\nPerformance:\n Mass: 132.78 kg\n Factor of Safety: 0.77\n Max Deflection: 1.83e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 132.78415830244663, + "fos_buckling": 0.7691573995332318, + "fos_yielding": 3.2087585037583573, + "deflection": 0.018264198912477415, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.001612)" + }, + "parent_node_id": "node_1790", + "improvement_over_parent": null + }, + "node_1792": { + "node_id": "node_1792", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0054)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0050)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0029)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0041)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0039)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0042)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0057)]\n M20: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n\nPerformance:\n Mass: 149.70 kg\n Factor of Safety: 0.86\n Max Deflection: 1.62e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 149.69909699031314, + "fos_buckling": 0.8591874601079525, + "fos_yielding": 3.61549525904216, + "deflection": 0.016232333280163345, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.136)" + }, + "parent_node_id": "node_1791", + "improvement_over_parent": null + }, + "node_1793": { + "node_id": "node_1793", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0034)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n M20: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n\nPerformance:\n Mass: 175.03 kg\n Factor of Safety: 0.99\n Max Deflection: 1.39e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.02584391889556, + "fos_buckling": 0.990686377775214, + "fos_yielding": 4.223628682081443, + "deflection": 0.013923824820517546, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.183)" + }, + "parent_node_id": "node_1792", + "improvement_over_parent": null + }, + "node_1794": { + "node_id": "node_1794", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0039)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n\nPerformance:\n Mass: 199.76 kg\n Factor of Safety: 1.12\n Max Deflection: 1.22e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.76132833293042, + "fos_buckling": 1.1153136916267257, + "fos_yielding": 4.8165410615597635, + "deflection": 0.012233756918989147, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.155)" + }, + "parent_node_id": "node_1793", + "improvement_over_parent": null + }, + "node_1795": { + "node_id": "node_1795", + "content": "MODIFICATION: Increase 5 thickness by 66%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n\nPerformance:\n Mass: 204.43 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.4337110796862, + "fos_buckling": 1.5287380069452554, + "fos_yielding": 4.830333113394887, + "deflection": 0.011240298681727708, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.656)" + }, + "parent_node_id": "node_1794", + "improvement_over_parent": null + }, + "node_1796": { + "node_id": "node_1796", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1795", + "improvement_over_parent": null + }, + "node_1797": { + "node_id": "node_1797", + "content": "INITIAL DESIGN (Trace 254)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 0, + "fos_buckling": 0, + "fos_yielding": 0, + "deflection": Infinity, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1798": { + "node_id": "node_1798", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n\nPerformance:\n Mass: 164.97 kg\n Factor of Safety: 1.00\n Max Deflection: 1.41e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.96997121714082, + "fos_buckling": 1.0023066089128303, + "fos_yielding": 4.325348562717013, + "deflection": 0.014091336007085056, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003477)" + }, + "parent_node_id": "node_1797", + "improvement_over_parent": null + }, + "node_1799": { + "node_id": "node_1799", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 196.82 kg\n Factor of Safety: 1.15\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.81589225042876, + "fos_buckling": 1.1536805745167678, + "fos_yielding": 5.159557231046977, + "deflection": 0.011870481098694829, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.212)" + }, + "parent_node_id": "node_1798", + "improvement_over_parent": null + }, + "node_1800": { + "node_id": "node_1800", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n Mass: 204.60 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.59754076268123, + "fos_buckling": 1.529749097528319, + "fos_yielding": 4.834220877275055, + "deflection": 0.011232422385748161, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004727)" + }, + "parent_node_id": "node_1799", + "improvement_over_parent": null + }, + "node_1801": { + "node_id": "node_1801", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1800", + "improvement_over_parent": null + }, + "node_1802": { + "node_id": "node_1802", + "content": "INITIAL DESIGN (Trace 255)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0028)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n\nPerformance:\n Mass: 138.09 kg\n Factor of Safety: 0.40\n Max Deflection: 2.39e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 138.08796604968956, + "fos_buckling": 0.3979806021356827, + "fos_yielding": 2.61737327495571, + "deflection": 0.023934536459916514, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1803": { + "node_id": "node_1803", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n Mass: 176.49 kg\n Factor of Safety: 0.49\n Max Deflection: 1.88e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.48732737700416, + "fos_buckling": 0.4877056104427056, + "fos_yielding": 3.371165090921259, + "deflection": 0.01880373807995149, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.305)" + }, + "parent_node_id": "node_1802", + "improvement_over_parent": null + }, + "node_1804": { + "node_id": "node_1804", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 181.80 kg\n Factor of Safety: 0.49\n Max Deflection: 1.86e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.79537285399866, + "fos_buckling": 0.487632458289584, + "fos_yielding": 3.208950629814328, + "deflection": 0.018554301872355565, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)" + }, + "parent_node_id": "node_1803", + "improvement_over_parent": null + }, + "node_1805": { + "node_id": "node_1805", + "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 202.64 kg\n Factor of Safety: 1.12\n Max Deflection: 1.14e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.64358434297716, + "fos_buckling": 1.1231690403926469, + "fos_yielding": 3.205489309438571, + "deflection": 0.011378593990787708, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.007737)" + }, + "parent_node_id": "node_1804", + "improvement_over_parent": null + }, + "node_1806": { + "node_id": "node_1806", + "content": "MODIFICATION: Increase 8 thickness by 58%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0040)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 203.20 kg\n Factor of Safety: 1.13\n Max Deflection: 1.14e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.20480833864147, + "fos_buckling": 1.1254249864745443, + "fos_yielding": 3.2119277089920915, + "deflection": 0.011384362687114881, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.582)" + }, + "parent_node_id": "node_1805", + "improvement_over_parent": null + }, + "node_1807": { + "node_id": "node_1807", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1806", + "improvement_over_parent": null + }, + "node_1808": { + "node_id": "node_1808", + "content": "INITIAL DESIGN (Trace 256)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 194.70 kg\n Factor of Safety: 0.87\n Max Deflection: 1.25e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.69624654958054, + "fos_buckling": 0.8743497609646325, + "fos_yielding": 5.1612144939627695, + "deflection": 0.012491809334179748, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1809": { + "node_id": "node_1809", + "content": "MODIFICATION: Increase 0 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 195.89 kg\n Factor of Safety: 0.87\n Max Deflection: 1.23e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.89413542999958, + "fos_buckling": 0.8740908900921575, + "fos_yielding": 5.161214493962768, + "deflection": 0.01233616656385582, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.179)" + }, + "parent_node_id": "node_1808", + "improvement_over_parent": null + }, + "node_1810": { + "node_id": "node_1810", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 201.20 kg\n Factor of Safety: 1.28\n Max Deflection: 1.14e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.20218090699407, + "fos_buckling": 1.2766152308061838, + "fos_yielding": 4.7834711226728865, + "deflection": 0.01143040851639599, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)" + }, + "parent_node_id": "node_1809", + "improvement_over_parent": null + }, + "node_1811": { + "node_id": "node_1811", + "content": "MODIFICATION: Increase 13 thickness by 42%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0067)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 204.08 kg\n Factor of Safety: 1.31\n Max Deflection: 1.14e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.08081016353788, + "fos_buckling": 1.306931863338643, + "fos_yielding": 4.754403514887506, + "deflection": 0.011360511284327867, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.425)" + }, + "parent_node_id": "node_1810", + "improvement_over_parent": null + }, + "node_1812": { + "node_id": "node_1812", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1811", + "improvement_over_parent": null + }, + "node_1813": { + "node_id": "node_1813", + "content": "INITIAL DESIGN (Trace 257)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0026)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n\nPerformance:\n Mass: 131.71 kg\n Factor of Safety: 0.23\n Max Deflection: 5.39e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 131.7137006931038, + "fos_buckling": 0.23406525769680636, + "fos_yielding": 0.7132956057147417, + "deflection": 0.05389843879220462, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1814": { + "node_id": "node_1814", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 162.34 kg\n Factor of Safety: 0.28\n Max Deflection: 4.39e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.33626362130494, + "fos_buckling": 0.2776211116568257, + "fos_yielding": 0.8759891047428467, + "deflection": 0.04390062757458085, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.255)" + }, + "parent_node_id": "node_1813", + "improvement_over_parent": null + }, + "node_1815": { + "node_id": "node_1815", + "content": "MODIFICATION: Increase 13 thickness by 43%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 164.55 kg\n Factor of Safety: 0.28\n Max Deflection: 4.38e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.54732824705107, + "fos_buckling": 0.27756956700592716, + "fos_yielding": 0.8759344851716263, + "deflection": 0.043787417164114655, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.435)" + }, + "parent_node_id": "node_1814", + "improvement_over_parent": null + }, + "node_1816": { + "node_id": "node_1816", + "content": "MODIFICATION: Increase 8 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 164.70 kg\n Factor of Safety: 0.28\n Max Deflection: 4.37e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.7044804670133, + "fos_buckling": 0.27756224145015335, + "fos_yielding": 0.8759267215128919, + "deflection": 0.04373586172959063, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.178)" + }, + "parent_node_id": "node_1815", + "improvement_over_parent": null + }, + "node_1817": { + "node_id": "node_1817", + "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n Mass: 178.59 kg\n Factor of Safety: 0.28\n Max Deflection: 4.17e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.5893873426349, + "fos_buckling": 0.2772390085761669, + "fos_yielding": 0.8748990212848846, + "deflection": 0.04170495313121147, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)" + }, + "parent_node_id": "node_1816", + "improvement_over_parent": null + }, + "node_1818": { + "node_id": "node_1818", + "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 193.77 kg\n Factor of Safety: 0.68\n Max Deflection: 1.38e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.7739413575363, + "fos_buckling": 0.6825656619081982, + "fos_yielding": 4.7523750382339065, + "deflection": 0.013767306075591517, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)" + }, + "parent_node_id": "node_1817", + "improvement_over_parent": null + }, + "node_1819": { + "node_id": "node_1819", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M20: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n\nPerformance:\n Mass: 201.04 kg\n Factor of Safety: 1.45\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.04064646793222, + "fos_buckling": 1.447118779476592, + "fos_yielding": 4.830648750239533, + "deflection": 0.01147578442419869, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.003592)" + }, + "parent_node_id": "node_1818", + "improvement_over_parent": null + }, + "node_1820": { + "node_id": "node_1820", + "content": "MODIFICATION: Increase 16 thickness by 56%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0078)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M20: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n\nPerformance:\n Mass: 205.22 kg\n Factor of Safety: 1.42\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.21549220154895, + "fos_buckling": 1.4204684487715964, + "fos_yielding": 4.82892962791816, + "deflection": 0.011540582527731786, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.565)" + }, + "parent_node_id": "node_1819", + "improvement_over_parent": null + }, + "node_1821": { + "node_id": "node_1821", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1820", + "improvement_over_parent": null + }, + "node_1822": { + "node_id": "node_1822", + "content": "INITIAL DESIGN (Trace 258)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0038)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0031)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0040)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0043)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0023)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0055)]\n\nPerformance:\n Mass: 139.51 kg\n Factor of Safety: 0.78\n Max Deflection: 1.75e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 139.51399024399615, + "fos_buckling": 0.7835692735598566, + "fos_yielding": 3.5444062150880242, + "deflection": 0.017462067181364643, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1823": { + "node_id": "node_1823", + "content": "MODIFICATION: Increase 3 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0038)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0049)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0031)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0040)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0043)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0023)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0055)]\n\nPerformance:\n Mass: 141.20 kg\n Factor of Safety: 0.78\n Max Deflection: 1.73e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 141.19765789763795, + "fos_buckling": 0.7822399391703101, + "fos_yielding": 3.5442862988363886, + "deflection": 0.01727134724147264, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.206)" + }, + "parent_node_id": "node_1822", + "improvement_over_parent": null + }, + "node_1824": { + "node_id": "node_1824", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0057)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0039)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0051)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0023)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0054)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0029)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0051)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0045)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0057)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0070)]\n\nPerformance:\n Mass: 174.99 kg\n Factor of Safety: 0.95\n Max Deflection: 1.40e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.98957376247154, + "fos_buckling": 0.9546858375869143, + "fos_yielding": 4.385278259700742, + "deflection": 0.013980853387402518, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.259)" + }, + "parent_node_id": "node_1823", + "improvement_over_parent": null + }, + "node_1825": { + "node_id": "node_1825", + "content": "MODIFICATION: Increase 5 thickness by 50%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0057)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0051)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0023)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0054)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0029)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0051)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0045)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0057)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0070)]\n\nPerformance:\n Mass: 178.55 kg\n Factor of Safety: 1.12\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.55387769679567, + "fos_buckling": 1.1230038730057814, + "fos_yielding": 4.393951036364481, + "deflection": 0.013255242685128467, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.499)" + }, + "parent_node_id": "node_1824", + "improvement_over_parent": null + }, + "node_1826": { + "node_id": "node_1826", + "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0053)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0032)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 196.81 kg\n Factor of Safety: 1.23\n Max Deflection: 1.21e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.80664462101012, + "fos_buckling": 1.2262719590223277, + "fos_yielding": 4.839389662179175, + "deflection": 0.012050769224151528, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.112)" + }, + "parent_node_id": "node_1825", + "improvement_over_parent": null + }, + "node_1827": { + "node_id": "node_1827", + "content": "MODIFICATION: Increase 2 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0032)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 201.01 kg\n Factor of Safety: 1.28\n Max Deflection: 1.13e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.0093664142814, + "fos_buckling": 1.2815672526567297, + "fos_yielding": 4.841493925507033, + "deflection": 0.011323586461583044, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.391)" + }, + "parent_node_id": "node_1826", + "improvement_over_parent": null + }, + "node_1828": { + "node_id": "node_1828", + "content": "MODIFICATION: Increase 15 thickness by 64%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.51 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.50835410983888, + "fos_buckling": 1.5292626179207167, + "fos_yielding": 4.832606610661936, + "deflection": 0.011237547801873474, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.639)" + }, + "parent_node_id": "node_1827", + "improvement_over_parent": null + }, + "node_1829": { + "node_id": "node_1829", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1828", + "improvement_over_parent": null + }, + "node_1830": { + "node_id": "node_1830", + "content": "INITIAL DESIGN (Trace 259)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nPerformance:\n Mass: 167.31 kg\n Factor of Safety: 0.90\n Max Deflection: 1.26e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 167.3056382602063, + "fos_buckling": 0.9006520291179638, + "fos_yielding": 3.2626246983103697, + "deflection": 0.012597511127154019, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1831": { + "node_id": "node_1831", + "content": "MODIFICATION: Increase 7 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nPerformance:\n Mass: 168.92 kg\n Factor of Safety: 0.90\n Max Deflection: 1.25e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 168.91558311610936, + "fos_buckling": 0.9005256914892636, + "fos_yielding": 3.262587580882116, + "deflection": 0.012496356888404895, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.264)" + }, + "parent_node_id": "node_1830", + "improvement_over_parent": null + }, + "node_1832": { + "node_id": "node_1832", + "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n\nPerformance:\n Mass: 176.38 kg\n Factor of Safety: 1.14\n Max Deflection: 1.30e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.38421009596289, + "fos_buckling": 1.1375725962011618, + "fos_yielding": 3.2541273198909813, + "deflection": 0.012990547079272689, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004257)" + }, + "parent_node_id": "node_1831", + "improvement_over_parent": null + }, + "node_1833": { + "node_id": "node_1833", + "content": "MODIFICATION: Increase 8 thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n\nPerformance:\n Mass: 177.55 kg\n Factor of Safety: 1.36\n Max Deflection: 1.29e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.5546601483151, + "fos_buckling": 1.3619488634392318, + "fos_yielding": 4.199660888312348, + "deflection": 0.012892063348368496, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.326)" + }, + "parent_node_id": "node_1832", + "improvement_over_parent": null + }, + "node_1834": { + "node_id": "node_1834", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n Mass: 204.71 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.7069995029867, + "fos_buckling": 1.53040832129335, + "fos_yielding": 4.83834612877075, + "deflection": 0.011226371994173635, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.168)" + }, + "parent_node_id": "node_1833", + "improvement_over_parent": null + }, + "node_1835": { + "node_id": "node_1835", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1834", + "improvement_over_parent": null + }, + "node_1836": { + "node_id": "node_1836", + "content": "INITIAL DESIGN (Trace 260)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0034)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0033)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n Mass: 134.09 kg\n Factor of Safety: 0.65\n Max Deflection: 1.60e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 134.08803094932725, + "fos_buckling": 0.647406584689681, + "fos_yielding": 3.4188684454106726, + "deflection": 0.016029335285243276, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1837": { + "node_id": "node_1837", + "content": "MODIFICATION: Increase 17 thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0034)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n Mass: 135.32 kg\n Factor of Safety: 0.75\n Max Deflection: 1.59e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 135.31816378157714, + "fos_buckling": 0.7505138878136192, + "fos_yielding": 3.418779216536843, + "deflection": 0.01586981490694902, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.192)" + }, + "parent_node_id": "node_1836", + "improvement_over_parent": null + }, + "node_1838": { + "node_id": "node_1838", + "content": "MODIFICATION: Increase 3 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n Mass: 138.02 kg\n Factor of Safety: 0.75\n Max Deflection: 1.53e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 138.01516618508032, + "fos_buckling": 0.7503379071849109, + "fos_yielding": 3.4187140095905413, + "deflection": 0.015289671869226067, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.393)" + }, + "parent_node_id": "node_1837", + "improvement_over_parent": null + }, + "node_1839": { + "node_id": "node_1839", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nPerformance:\n Mass: 170.29 kg\n Factor of Safety: 0.90\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.2875952116074, + "fos_buckling": 0.9016580210696548, + "fos_yielding": 4.214410002253754, + "deflection": 0.012431775249980882, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.253)" + }, + "parent_node_id": "node_1838", + "improvement_over_parent": null + }, + "node_1840": { + "node_id": "node_1840", + "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n\nPerformance:\n Mass: 177.76 kg\n Factor of Safety: 1.36\n Max Deflection: 1.29e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.76270027822528, + "fos_buckling": 1.3634234254106625, + "fos_yielding": 4.203444006166998, + "deflection": 0.012877569989334184, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004261)" + }, + "parent_node_id": "node_1839", + "improvement_over_parent": null + }, + "node_1841": { + "node_id": "node_1841", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n Mass: 204.78 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.78368565625198, + "fos_buckling": 1.5310278076586745, + "fos_yielding": 4.83888569599984, + "deflection": 0.011222467302168476, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.167)" + }, + "parent_node_id": "node_1840", + "improvement_over_parent": null + }, + "node_1842": { + "node_id": "node_1842", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1841", + "improvement_over_parent": null + }, + "node_1843": { + "node_id": "node_1843", + "content": "INITIAL DESIGN (Trace 261)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0028)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0034)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0039)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0037)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0022)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0034)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0030)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0030)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0022)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0029)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0032)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0025)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0028)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0030)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0025)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0026)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0034)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0041)]\n\nPerformance:\n Mass: 112.21 kg\n Factor of Safety: 0.83\n Max Deflection: 1.98e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 112.21491604794048, + "fos_buckling": 0.8261298701348375, + "fos_yielding": 2.6821279742955566, + "deflection": 0.019811673972643214, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1844": { + "node_id": "node_1844", + "content": "MODIFICATION: Increase 17 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0028)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0034)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0039)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0037)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0022)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0034)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0030)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0030)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0022)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0029)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0032)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0025)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0028)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0030)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0030)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0026)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0034)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0041)]\n\nPerformance:\n Mass: 113.25 kg\n Factor of Safety: 0.92\n Max Deflection: 2.00e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 113.25327805347762, + "fos_buckling": 0.9212666355774471, + "fos_yielding": 2.6826083381572303, + "deflection": 0.020021915067830142, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.206)" + }, + "parent_node_id": "node_1843", + "improvement_over_parent": null + }, + "node_1845": { + "node_id": "node_1845", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n Mass: 144.03 kg\n Factor of Safety: 1.14\n Max Deflection: 1.58e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 144.03162722886768, + "fos_buckling": 1.139578124346008, + "fos_yielding": 3.4088317347345374, + "deflection": 0.01581479107987742, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.289)" + }, + "parent_node_id": "node_1844", + "improvement_over_parent": null + }, + "node_1846": { + "node_id": "node_1846", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n\nPerformance:\n Mass: 180.20 kg\n Factor of Safety: 1.38\n Max Deflection: 1.27e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.19621487596768, + "fos_buckling": 1.378825249378494, + "fos_yielding": 4.260613654210589, + "deflection": 0.012707881688455835, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.272)" + }, + "parent_node_id": "node_1845", + "improvement_over_parent": null + }, + "node_1847": { + "node_id": "node_1847", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.63 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.63398219512027, + "fos_buckling": 1.5300020691731093, + "fos_yielding": 4.835260201413196, + "deflection": 0.011230180365853607, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.149)" + }, + "parent_node_id": "node_1846", + "improvement_over_parent": null + }, + "node_1848": { + "node_id": "node_1848", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1847", + "improvement_over_parent": null + }, + "node_1849": { + "node_id": "node_1849", + "content": "INITIAL DESIGN (Trace 262)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0030)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0031)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n\nPerformance:\n Mass: 147.04 kg\n Factor of Safety: 0.81\n Max Deflection: 1.43e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 147.03815538576978, + "fos_buckling": 0.8060030051342485, + "fos_yielding": 2.764640581608164, + "deflection": 0.014267016864485777, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1850": { + "node_id": "node_1850", + "content": "MODIFICATION: Increase 8 thickness by 37%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0030)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n\nPerformance:\n Mass: 148.18 kg\n Factor of Safety: 0.81\n Max Deflection: 1.42e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 148.17695223289675, + "fos_buckling": 0.806003005134249, + "fos_yielding": 3.681992188303823, + "deflection": 0.014196630691006705, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.368)" + }, + "parent_node_id": "node_1849", + "improvement_over_parent": null + }, + "node_1851": { + "node_id": "node_1851", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n\nPerformance:\n Mass: 164.51 kg\n Factor of Safety: 0.88\n Max Deflection: 1.28e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.51292166818905, + "fos_buckling": 0.8827511647601985, + "fos_yielding": 4.085972172914759, + "deflection": 0.012808108149463128, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.119)" + }, + "parent_node_id": "node_1850", + "improvement_over_parent": null + }, + "node_1852": { + "node_id": "node_1852", + "content": "MODIFICATION: Increase 0 thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n\nPerformance:\n Mass: 166.22 kg\n Factor of Safety: 0.88\n Max Deflection: 1.27e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.22116964280286, + "fos_buckling": 0.8828825178684158, + "fos_yielding": 4.115682693732128, + "deflection": 0.012730611472236496, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.333)" + }, + "parent_node_id": "node_1851", + "improvement_over_parent": null + }, + "node_1853": { + "node_id": "node_1853", + "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n\nPerformance:\n Mass: 173.52 kg\n Factor of Safety: 1.34\n Max Deflection: 1.32e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.51613174972374, + "fos_buckling": 1.336052724752052, + "fos_yielding": 4.104985359010484, + "deflection": 0.013184013759326535, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004150)" + }, + "parent_node_id": "node_1852", + "improvement_over_parent": null + }, + "node_1854": { + "node_id": "node_1854", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n Mass: 204.79 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.79361344700158, + "fos_buckling": 1.5309849764006513, + "fos_yielding": 4.840845247709741, + "deflection": 0.011221487558751417, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.198)" + }, + "parent_node_id": "node_1853", + "improvement_over_parent": null + }, + "node_1855": { + "node_id": "node_1855", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1854", + "improvement_over_parent": null + }, + "node_1856": { + "node_id": "node_1856", + "content": "INITIAL DESIGN (Trace 263)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0030)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n Mass: 156.67 kg\n Factor of Safety: 0.99\n Max Deflection: 1.46e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 156.67410737734753, + "fos_buckling": 0.9879395018540214, + "fos_yielding": 3.7360324669305003, + "deflection": 0.014610857602371513, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1857": { + "node_id": "node_1857", + "content": "MODIFICATION: Increase 13 thickness by 52%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n Mass: 159.86 kg\n Factor of Safety: 1.25\n Max Deflection: 1.43e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.86459328142448, + "fos_buckling": 1.2476106437778838, + "fos_yielding": 3.7868179657533, + "deflection": 0.014289479451027652, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.517)" + }, + "parent_node_id": "node_1856", + "improvement_over_parent": null + }, + "node_1858": { + "node_id": "node_1858", + "content": "MODIFICATION: Increase 10 thickness by 53%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n Mass: 160.05 kg\n Factor of Safety: 1.25\n Max Deflection: 1.43e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 160.04920951360225, + "fos_buckling": 1.247844065811459, + "fos_yielding": 3.786291618217159, + "deflection": 0.014265690377384576, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.527)" + }, + "parent_node_id": "node_1857", + "improvement_over_parent": null + }, + "node_1859": { + "node_id": "node_1859", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.52 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.52324069446786, + "fos_buckling": 1.5293447246603853, + "fos_yielding": 4.832651429478491, + "deflection": 0.01123622999056623, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.305)" + }, + "parent_node_id": "node_1858", + "improvement_over_parent": null + }, + "node_1860": { + "node_id": "node_1860", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1859", + "improvement_over_parent": null + }, + "node_1861": { + "node_id": "node_1861", + "content": "INITIAL DESIGN (Trace 264)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0021)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0018)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0029)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0027)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0017)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0026)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0028)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0022)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0022)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0010)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0008)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0012)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0021)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0024)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0019)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0021)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0022)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0023)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0020)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0025)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0031)]\n\nPerformance:\n Mass: 83.55 kg\n Factor of Safety: 0.61\n Max Deflection: 2.75e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 83.54884572817284, + "fos_buckling": 0.6069996935983201, + "fos_yielding": 2.0248020361285564, + "deflection": 0.027542923401651518, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1862": { + "node_id": "node_1862", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0024)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0021)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0033)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0031)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0019)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0029)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0032)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0025)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0026)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0011)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0009)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0013)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0024)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0027)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0021)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0024)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0025)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0026)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0022)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0029)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0035)]\n\nPerformance:\n Mass: 95.12 kg\n Factor of Safety: 0.69\n Max Deflection: 2.42e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 95.11900659687367, + "fos_buckling": 0.6874297485232589, + "fos_yielding": 2.3043011864611693, + "deflection": 0.02423128349880903, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.144)" + }, + "parent_node_id": "node_1861", + "improvement_over_parent": null + }, + "node_1863": { + "node_id": "node_1863", + "content": "MODIFICATION: Increase 11 thickness by 42%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0024)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0021)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0033)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0031)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0019)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0029)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0032)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0025)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0026)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0011)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0009)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0019)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0024)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0027)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0021)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0024)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0025)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0026)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0022)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0029)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0035)]\n\nPerformance:\n Mass: 95.55 kg\n Factor of Safety: 0.79\n Max Deflection: 2.42e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 95.54773363529206, + "fos_buckling": 0.7900669887441546, + "fos_yielding": 2.303888084141564, + "deflection": 0.02420451393812005, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.425)" + }, + "parent_node_id": "node_1862", + "improvement_over_parent": null + }, + "node_1864": { + "node_id": "node_1864", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0029)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0040)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0038)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0023)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0035)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0031)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0031)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0023)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0029)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0033)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0026)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0029)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0031)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0031)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0027)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0042)]\n\nPerformance:\n Mass: 114.86 kg\n Factor of Safety: 0.94\n Max Deflection: 2.02e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 114.85553936163902, + "fos_buckling": 0.9356700316845903, + "fos_yielding": 2.7677139579715946, + "deflection": 0.020188797575899822, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.212)" + }, + "parent_node_id": "node_1863", + "improvement_over_parent": null + }, + "node_1865": { + "node_id": "node_1865", + "content": "MODIFICATION: Increase 1 thickness by 38%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0029)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0040)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0038)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0023)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0035)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0031)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0031)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0023)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0029)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0033)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0026)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0029)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0031)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0031)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0027)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0042)]\n\nPerformance:\n Mass: 116.65 kg\n Factor of Safety: 0.95\n Max Deflection: 1.94e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 116.64803995200606, + "fos_buckling": 0.9460536827222406, + "fos_yielding": 2.762785384784356, + "deflection": 0.019449897140859766, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.377)" + }, + "parent_node_id": "node_1864", + "improvement_over_parent": null + }, + "node_1866": { + "node_id": "node_1866", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0043)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0040)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n\nPerformance:\n Mass: 139.18 kg\n Factor of Safety: 1.11\n Max Deflection: 1.64e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 139.18382030892982, + "fos_buckling": 1.106139909295676, + "fos_yielding": 3.2945471277811027, + "deflection": 0.016354777216203428, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.205)" + }, + "parent_node_id": "node_1865", + "improvement_over_parent": null + }, + "node_1867": { + "node_id": "node_1867", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n\nPerformance:\n Mass: 166.99 kg\n Factor of Safety: 1.29\n Max Deflection: 1.37e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.99386325384435, + "fos_buckling": 1.2936935845261348, + "fos_yielding": 3.9498761246181275, + "deflection": 0.013686791336322335, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.215)" + }, + "parent_node_id": "node_1866", + "improvement_over_parent": null + }, + "node_1868": { + "node_id": "node_1868", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.71 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70999702366242, + "fos_buckling": 1.5305222619348577, + "fos_yielding": 4.8370766747590705, + "deflection": 0.011226656967828888, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.248)" + }, + "parent_node_id": "node_1867", + "improvement_over_parent": null + }, + "node_1869": { + "node_id": "node_1869", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1868", + "improvement_over_parent": null + }, + "node_1870": { + "node_id": "node_1870", + "content": "INITIAL DESIGN (Trace 265)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0053)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0050)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0047)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0041)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0039)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0028)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0042)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0056)]\n\nPerformance:\n Mass: 139.32 kg\n Factor of Safety: 0.86\n Max Deflection: 1.68e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 139.32115009315433, + "fos_buckling": 0.8584705607822155, + "fos_yielding": 3.5653072040168943, + "deflection": 0.016818506819440332, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1871": { + "node_id": "node_1871", + "content": "MODIFICATION: Increase 13 thickness by 58%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0053)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0050)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0047)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0041)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0039)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0042)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0056)]\n\nPerformance:\n Mass: 142.63 kg\n Factor of Safety: 0.86\n Max Deflection: 1.64e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 142.62886795972395, + "fos_buckling": 0.8583900342837076, + "fos_yielding": 3.61926602113638, + "deflection": 0.01644827251594925, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.582)" + }, + "parent_node_id": "node_1870", + "improvement_over_parent": null + }, + "node_1872": { + "node_id": "node_1872", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n Mass: 158.63 kg\n Factor of Safety: 0.94\n Max Deflection: 1.48e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 158.63468618769275, + "fos_buckling": 0.9396048845944729, + "fos_yielding": 4.023600182055308, + "deflection": 0.01482365868958067, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.121)" + }, + "parent_node_id": "node_1871", + "improvement_over_parent": null + }, + "node_1873": { + "node_id": "node_1873", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 190.70 kg\n Factor of Safety: 1.09\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.70424361633036, + "fos_buckling": 1.0933021279364608, + "fos_yielding": 4.832632516496989, + "deflection": 0.01238914446427056, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.222)" + }, + "parent_node_id": "node_1872", + "improvement_over_parent": null + }, + "node_1874": { + "node_id": "node_1874", + "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n Mass: 204.59 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.58915049195195, + "fos_buckling": 1.52976385688861, + "fos_yielding": 4.833932891769248, + "deflection": 0.011233027449472998, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)" + }, + "parent_node_id": "node_1873", + "improvement_over_parent": null + }, + "node_1875": { + "node_id": "node_1875", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1874", + "improvement_over_parent": null + }, + "node_1876": { + "node_id": "node_1876", + "content": "INITIAL DESIGN (Trace 266)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0030)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0034)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n Mass: 159.80 kg\n Factor of Safety: 0.99\n Max Deflection: 1.42e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.80183478330474, + "fos_buckling": 0.9881829518808444, + "fos_yielding": 2.854987934364687, + "deflection": 0.014213407777646306, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1877": { + "node_id": "node_1877", + "content": "MODIFICATION: Increase 7 thickness by 53%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0034)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n Mass: 161.38 kg\n Factor of Safety: 0.99\n Max Deflection: 1.42e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 161.37940027609335, + "fos_buckling": 0.9881829518808444, + "fos_yielding": 4.25278571588841, + "deflection": 0.014213407777646306, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.527)" + }, + "parent_node_id": "node_1876", + "improvement_over_parent": null + }, + "node_1878": { + "node_id": "node_1878", + "content": "MODIFICATION: Increase 9 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0034)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n Mass: 161.48 kg\n Factor of Safety: 0.99\n Max Deflection: 1.42e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 161.47942826640536, + "fos_buckling": 0.9881501245317088, + "fos_yielding": 4.25278571588841, + "deflection": 0.01420790343809616, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.220)" + }, + "parent_node_id": "node_1877", + "improvement_over_parent": null + }, + "node_1879": { + "node_id": "node_1879", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0042)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 196.23 kg\n Factor of Safety: 1.15\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.22916767222182, + "fos_buckling": 1.1544231860949423, + "fos_yielding": 5.16565051640058, + "deflection": 0.011761188854528945, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.236)" + }, + "parent_node_id": "node_1878", + "improvement_over_parent": null + }, + "node_1880": { + "node_id": "node_1880", + "content": "MODIFICATION: Increase 16 thickness by 38%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 199.14 kg\n Factor of Safety: 1.15\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.14465243077447, + "fos_buckling": 1.1535919279058868, + "fos_yielding": 5.165650516400582, + "deflection": 0.011890219185691915, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.376)" + }, + "parent_node_id": "node_1879", + "improvement_over_parent": null + }, + "node_1881": { + "node_id": "node_1881", + "content": "MODIFICATION: Increase 8 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 199.40 kg\n Factor of Safety: 1.15\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.39514105778775, + "fos_buckling": 1.153449210611217, + "fos_yielding": 5.1656505164005795, + "deflection": 0.011867812662919195, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.314)" + }, + "parent_node_id": "node_1880", + "improvement_over_parent": null + }, + "node_1882": { + "node_id": "node_1882", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70318653478225, + "fos_buckling": 1.5303970498016004, + "fos_yielding": 4.840820517460128, + "deflection": 0.011226297185574732, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)" + }, + "parent_node_id": "node_1881", + "improvement_over_parent": null + }, + "node_1883": { + "node_id": "node_1883", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1882", + "improvement_over_parent": null + }, + "node_1884": { + "node_id": "node_1884", + "content": "INITIAL DESIGN (Trace 267)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0033)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0024)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n Mass: 147.63 kg\n Factor of Safety: 0.90\n Max Deflection: 1.71e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 147.63359742025446, + "fos_buckling": 0.9009091530599395, + "fos_yielding": 3.8411653959199796, + "deflection": 0.01706632816223458, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1885": { + "node_id": "node_1885", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 186.35 kg\n Factor of Safety: 1.09\n Max Deflection: 1.36e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 186.35372088746303, + "fos_buckling": 1.094402715090989, + "fos_yielding": 4.840054250140291, + "deflection": 0.013578602899897898, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.287)" + }, + "parent_node_id": "node_1884", + "improvement_over_parent": null + }, + "node_1886": { + "node_id": "node_1886", + "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n Mass: 195.82 kg\n Factor of Safety: 1.13\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.81803544951785, + "fos_buckling": 1.1344833221135804, + "fos_yielding": 4.841210574529557, + "deflection": 0.012387238737063886, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)" + }, + "parent_node_id": "node_1885", + "improvement_over_parent": null + }, + "node_1887": { + "node_id": "node_1887", + "content": "MODIFICATION: Increase 18 thickness by 61%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0102)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n Mass: 203.08 kg\n Factor of Safety: 1.14\n Max Deflection: 1.23e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.07875445211675, + "fos_buckling": 1.136163865608327, + "fos_yielding": 4.841117949617326, + "deflection": 0.012262564110009946, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(18, thickness, 1.613)" + }, + "parent_node_id": "node_1886", + "improvement_over_parent": null + }, + "node_1888": { + "node_id": "node_1888", + "content": "MODIFICATION: Increase 6 thickness by 66%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0102)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n Mass: 208.79 kg\n Factor of Safety: 1.44\n Max Deflection: 1.10e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 208.78867530607818, + "fos_buckling": 1.4361385507088777, + "fos_yielding": 4.836729672025706, + "deflection": 0.011028483750245857, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.661)" + }, + "parent_node_id": "node_1887", + "improvement_over_parent": null + }, + "node_1889": { + "node_id": "node_1889", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1888", + "improvement_over_parent": null + }, + "node_1890": { + "node_id": "node_1890", + "content": "INITIAL DESIGN (Trace 268)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0045)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0042)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0039)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0034)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0035)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0019)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0037)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0029)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0035)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0047)]\n\nPerformance:\n Mass: 122.49 kg\n Factor of Safety: 0.31\n Max Deflection: 1.98e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 122.48928364467406, + "fos_buckling": 0.312102434414923, + "fos_yielding": 3.0948025021892716, + "deflection": 0.019815897854191415, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1891": { + "node_id": "node_1891", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n Mass: 155.80 kg\n Factor of Safety: 0.38\n Max Deflection: 1.57e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 155.79600765113673, + "fos_buckling": 0.38330509479577535, + "fos_yielding": 3.9328268618337012, + "deflection": 0.015654286424145257, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.292)" + }, + "parent_node_id": "node_1890", + "improvement_over_parent": null + }, + "node_1892": { + "node_id": "node_1892", + "content": "MODIFICATION: Increase 11 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n Mass: 156.42 kg\n Factor of Safety: 0.36\n Max Deflection: 1.57e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 156.42431627352704, + "fos_buckling": 0.3550271940043749, + "fos_yielding": 3.932796216747819, + "deflection": 0.015717988310485993, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.361)" + }, + "parent_node_id": "node_1891", + "improvement_over_parent": null + }, + "node_1893": { + "node_id": "node_1893", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 195.18 kg\n Factor of Safety: 0.43\n Max Deflection: 1.27e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.17770220008438, + "fos_buckling": 0.42575142357757495, + "fos_yielding": 4.902362768173257, + "deflection": 0.01266505562551941, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.272)" + }, + "parent_node_id": "node_1892", + "improvement_over_parent": null + }, + "node_1894": { + "node_id": "node_1894", + "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n Mass: 204.69 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.69336001708473, + "fos_buckling": 1.5303701881882739, + "fos_yielding": 4.8365832266259705, + "deflection": 0.01122725508362952, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.005227)" + }, + "parent_node_id": "node_1893", + "improvement_over_parent": null + }, + "node_1895": { + "node_id": "node_1895", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1894", + "improvement_over_parent": null + }, + "node_1896": { + "node_id": "node_1896", + "content": "INITIAL DESIGN (Trace 269)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0019)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0022)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0025)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0024)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0015)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0022)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0025)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0020)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0020)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0007)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0014)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0019)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0021)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0016)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0018)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0020)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0020)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0012)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0022)]\n\nPerformance:\n Mass: 66.16 kg\n Factor of Safety: 0.20\n Max Deflection: 4.97e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 66.15800839881064, + "fos_buckling": 0.20180376893430352, + "fos_yielding": 1.2631869932086606, + "deflection": 0.04974281572834246, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1897": { + "node_id": "node_1897", + "content": "MODIFICATION: Increase 17 thickness by 49%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0019)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0022)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0025)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0024)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0015)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0022)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0025)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0020)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0020)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0007)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0014)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0019)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0021)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0016)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0018)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0020)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0020)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0017)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0022)]\n\nPerformance:\n Mass: 67.18 kg\n Factor of Safety: 0.20\n Max Deflection: 4.97e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 67.17540099859758, + "fos_buckling": 0.20177446595511594, + "fos_yielding": 1.2630886670224024, + "deflection": 0.04970683777149573, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.488)" + }, + "parent_node_id": "node_1896", + "improvement_over_parent": null + }, + "node_1898": { + "node_id": "node_1898", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0025)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0029)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0034)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0032)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0019)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0030)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0033)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0026)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0026)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0009)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0019)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0025)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0028)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0022)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0024)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0026)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0026)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0023)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0029)]\n\nPerformance:\n Mass: 88.15 kg\n Factor of Safety: 0.26\n Max Deflection: 3.80e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 88.14594226330297, + "fos_buckling": 0.2593698340959295, + "fos_yielding": 1.6554366357545816, + "deflection": 0.0379574009896435, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.325)" + }, + "parent_node_id": "node_1897", + "improvement_over_parent": null + }, + "node_1899": { + "node_id": "node_1899", + "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0025)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0029)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0034)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0032)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0019)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0030)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0033)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0026)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0026)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0009)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0019)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0025)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0028)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0022)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0024)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0026)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0026)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0023)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0029)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0036)]\n\nPerformance:\n Mass: 98.19 kg\n Factor of Safety: 0.72\n Max Deflection: 2.28e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 98.19329500398004, + "fos_buckling": 0.7178862704229658, + "fos_yielding": 2.302865188750474, + "deflection": 0.02283350477911062, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.003554)" + }, + "parent_node_id": "node_1898", + "improvement_over_parent": null + }, + "node_1900": { + "node_id": "node_1900", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0043)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0038)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0035)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0028)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0033)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0034)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0029)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0046)]\n\nPerformance:\n Mass: 124.47 kg\n Factor of Safety: 0.88\n Max Deflection: 1.81e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 124.46950591782785, + "fos_buckling": 0.8840732589041317, + "fos_yielding": 2.9169352148536922, + "deflection": 0.01808349910029923, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.282)" + }, + "parent_node_id": "node_1899", + "improvement_over_parent": null + }, + "node_1901": { + "node_id": "node_1901", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n Mass: 162.49 kg\n Factor of Safety: 1.11\n Max Deflection: 1.39e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.49489893534218, + "fos_buckling": 1.1060646830044478, + "fos_yielding": 3.803966638795168, + "deflection": 0.013930847167722579, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.328)" + }, + "parent_node_id": "node_1900", + "improvement_over_parent": null + }, + "node_1902": { + "node_id": "node_1902", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n M20: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n\nPerformance:\n Mass: 163.39 kg\n Factor of Safety: 1.27\n Max Deflection: 1.40e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.3926801899981, + "fos_buckling": 1.2693342871977504, + "fos_yielding": 3.865385207740601, + "deflection": 0.013980291088537497, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.001958)" + }, + "parent_node_id": "node_1901", + "improvement_over_parent": null + }, + "node_1903": { + "node_id": "node_1903", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n\nPerformance:\n Mass: 204.91 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.9106889288573, + "fos_buckling": 1.5309645835425438, + "fos_yielding": 4.842176337831596, + "deflection": 0.0112153648351641, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.279)" + }, + "parent_node_id": "node_1902", + "improvement_over_parent": null + }, + "node_1904": { + "node_id": "node_1904", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1903", + "improvement_over_parent": null + }, + "node_1905": { + "node_id": "node_1905", + "content": "INITIAL DESIGN (Trace 270)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0036)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n Mass: 146.74 kg\n Factor of Safety: 0.24\n Max Deflection: 4.41e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 146.74143975006672, + "fos_buckling": 0.2381654974734201, + "fos_yielding": 0.8546121130017632, + "deflection": 0.04414602922038847, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1906": { + "node_id": "node_1906", + "content": "MODIFICATION: Increase 3 thickness by 58%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n Mass: 150.90 kg\n Factor of Safety: 0.24\n Max Deflection: 4.38e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 150.8983309459851, + "fos_buckling": 0.23808223318320298, + "fos_yielding": 0.8543115290358396, + "deflection": 0.04384862482420725, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.585)" + }, + "parent_node_id": "node_1905", + "improvement_over_parent": null + }, + "node_1907": { + "node_id": "node_1907", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n\nPerformance:\n Mass: 157.37 kg\n Factor of Safety: 0.24\n Max Deflection: 4.35e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.3679817595586, + "fos_buckling": 0.23795275909340471, + "fos_yielding": 0.8433658182494009, + "deflection": 0.04350138972932896, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003866)" + }, + "parent_node_id": "node_1906", + "improvement_over_parent": null + }, + "node_1908": { + "node_id": "node_1908", + "content": "MODIFICATION: Increase 9 thickness by 59%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n\nPerformance:\n Mass: 157.58 kg\n Factor of Safety: 0.24\n Max Deflection: 4.04e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.57807383592555, + "fos_buckling": 0.23793595152952868, + "fos_yielding": 1.1605146391089918, + "deflection": 0.04044632791235465, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.587)" + }, + "parent_node_id": "node_1907", + "improvement_over_parent": null + }, + "node_1909": { + "node_id": "node_1909", + "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n\nPerformance:\n Mass: 170.20 kg\n Factor of Safety: 1.31\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.2045819623621, + "fos_buckling": 1.3146453507673819, + "fos_yielding": 4.025496210579261, + "deflection": 0.013434467563037285, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.005834)" + }, + "parent_node_id": "node_1908", + "improvement_over_parent": null + }, + "node_1910": { + "node_id": "node_1910", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 204.61 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.61248942136933, + "fos_buckling": 1.5299434773178642, + "fos_yielding": 4.834813622945805, + "deflection": 0.011231487315577122, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.222)" + }, + "parent_node_id": "node_1909", + "improvement_over_parent": null + }, + "node_1911": { + "node_id": "node_1911", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1910", + "improvement_over_parent": null + }, + "node_1912": { + "node_id": "node_1912", + "content": "INITIAL DESIGN (Trace 271)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0026)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0031)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0036)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0033)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0031)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0035)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0027)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0028)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0012)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0026)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0029)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0023)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0025)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0027)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0028)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0024)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0031)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0038)]\n\nPerformance:\n Mass: 101.19 kg\n Factor of Safety: 0.65\n Max Deflection: 2.30e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 101.18768352839865, + "fos_buckling": 0.6515809959852618, + "fos_yielding": 2.6206446071939653, + "deflection": 0.02302767119684204, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1913": { + "node_id": "node_1913", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n\nPerformance:\n Mass: 132.90 kg\n Factor of Safety: 0.83\n Max Deflection: 1.76e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 132.8981896336563, + "fos_buckling": 0.8272650054651606, + "fos_yielding": 3.441301225897613, + "deflection": 0.017621252304794863, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.332)" + }, + "parent_node_id": "node_1912", + "improvement_over_parent": null + }, + "node_1914": { + "node_id": "node_1914", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n\nPerformance:\n Mass: 136.43 kg\n Factor of Safety: 1.09\n Max Deflection: 1.67e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 136.43364392684566, + "fos_buckling": 1.086955205271284, + "fos_yielding": 3.2297258544723153, + "deflection": 0.016677047817791633, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.002721)" + }, + "parent_node_id": "node_1913", + "improvement_over_parent": null + }, + "node_1915": { + "node_id": "node_1915", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n\nPerformance:\n Mass: 178.05 kg\n Factor of Safety: 1.37\n Max Deflection: 1.29e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.05139597374972, + "fos_buckling": 1.365164962078976, + "fos_yielding": 4.21021895154142, + "deflection": 0.012857041284538082, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.330)" + }, + "parent_node_id": "node_1914", + "improvement_over_parent": null + }, + "node_1916": { + "node_id": "node_1916", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 204.95 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.95145014390036, + "fos_buckling": 1.5319221494972237, + "fos_yielding": 4.842806988536011, + "deflection": 0.011213392186729761, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.166)" + }, + "parent_node_id": "node_1915", + "improvement_over_parent": null + }, + "node_1917": { + "node_id": "node_1917", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1916", + "improvement_over_parent": null + }, + "node_1918": { + "node_id": "node_1918", + "content": "INITIAL DESIGN (Trace 272)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0057)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0041)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0054)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0045)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0057)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n\nPerformance:\n Mass: 179.18 kg\n Factor of Safety: 1.36\n Max Deflection: 1.37e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.1788059121701, + "fos_buckling": 1.3610007070164696, + "fos_yielding": 4.368845551236861, + "deflection": 0.013660075725499151, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1919": { + "node_id": "node_1919", + "content": "MODIFICATION: Increase 2 thickness by 62%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0057)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0066)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0054)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0045)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0057)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n\nPerformance:\n Mass: 184.42 kg\n Factor of Safety: 1.41\n Max Deflection: 1.25e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.42097328099698, + "fos_buckling": 1.4079402191884165, + "fos_yielding": 4.379055586990181, + "deflection": 0.012513057664834551, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.616)" + }, + "parent_node_id": "node_1918", + "improvement_over_parent": null + }, + "node_1920": { + "node_id": "node_1920", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0057)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0066)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0054)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0045)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0057)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n\nPerformance:\n Mass: 185.07 kg\n Factor of Safety: 1.41\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.0682937845733, + "fos_buckling": 1.4096555235273303, + "fos_yielding": 4.375313751083139, + "deflection": 0.012382616787240822, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001789)" + }, + "parent_node_id": "node_1919", + "improvement_over_parent": null + }, + "node_1921": { + "node_id": "node_1921", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n Mass: 204.60 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.60394091049088, + "fos_buckling": 1.5298395910265041, + "fos_yielding": 4.834635740749767, + "deflection": 0.01123221484877123, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.116)" + }, + "parent_node_id": "node_1920", + "improvement_over_parent": null + }, + "node_1922": { + "node_id": "node_1922", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1921", + "improvement_over_parent": null + }, + "node_1923": { + "node_id": "node_1923", + "content": "INITIAL DESIGN (Trace 273)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n M14: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M15: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n\nPerformance:\n Mass: 129.56 kg\n Factor of Safety: 0.01\n Max Deflection: 3.19e+14 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 129.561402987235, + "fos_buckling": 0.00516118926450849, + "fos_yielding": 0.12326055159429473, + "deflection": 319180519507632.7, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1924": { + "node_id": "node_1924", + "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (17 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n M14: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M15: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n\nPerformance:\n Mass: 138.90 kg\n Factor of Safety: 0.52\n Max Deflection: 8.92e+12 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 138.89690806091755, + "fos_buckling": 0.5197043736197986, + "fos_yielding": 3.9443376510174315, + "deflection": 8921934528608.969, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004597)" + }, + "parent_node_id": "node_1923", + "improvement_over_parent": null + }, + "node_1925": { + "node_id": "node_1925", + "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n M14: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M15: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n M17: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n\nPerformance:\n Mass: 141.44 kg\n Factor of Safety: 1.04\n Max Deflection: 5.87e+12 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 141.44188033140435, + "fos_buckling": 1.0394087472395972, + "fos_yielding": 4.218304238741053, + "deflection": 5871339490909.473, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003344)" + }, + "parent_node_id": "node_1924", + "improvement_over_parent": null + }, + "node_1926": { + "node_id": "node_1926", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n M14: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M15: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n M17: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M18: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n\nPerformance:\n Mass: 147.80 kg\n Factor of Safety: 0.71\n Max Deflection: 6.84e+12 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 147.79969011154975, + "fos_buckling": 0.713083227913171, + "fos_yielding": 2.629558434011621, + "deflection": 6838894275440.191, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003794)" + }, + "parent_node_id": "node_1925", + "improvement_over_parent": null + }, + "node_1927": { + "node_id": "node_1927", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M14: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M15: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M18: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n Mass: 180.78 kg\n Factor of Safety: 0.16\n Max Deflection: 1.65e+13 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.7791960305841, + "fos_buckling": 0.15990200919978595, + "fos_yielding": 3.9443376510174315, + "deflection": 16522497789142.357, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.245)" + }, + "parent_node_id": "node_1926", + "improvement_over_parent": null + }, + "node_1928": { + "node_id": "node_1928", + "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M14: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M15: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M18: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n\nPerformance:\n Mass: 187.23 kg\n Factor of Safety: 0.22\n Max Deflection: 3.61e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 187.23478778110663, + "fos_buckling": 0.21664956070842353, + "fos_yielding": 1.3896294311712718, + "deflection": 0.03610963750601991, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.003639)" + }, + "parent_node_id": "node_1927", + "improvement_over_parent": null + }, + "node_1929": { + "node_id": "node_1929", + "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M14: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M15: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M18: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 202.42 kg\n Factor of Safety: 1.49\n Max Deflection: 1.12e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.41934179600804, + "fos_buckling": 1.4878552464155688, + "fos_yielding": 4.834810665838624, + "deflection": 0.011180893244257924, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)" + }, + "parent_node_id": "node_1928", + "improvement_over_parent": null + }, + "node_1930": { + "node_id": "node_1930", + "content": "MODIFICATION: Increase 18 thickness by 37%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M14: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M15: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M18: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0065)]\n M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 204.91 kg\n Factor of Safety: 1.49\n Max Deflection: 1.11e-02 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.91233609874521, + "fos_buckling": 1.489701027399193, + "fos_yielding": 4.810653092489538, + "deflection": 0.011133888420259008, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(18, thickness, 1.366)" + }, + "parent_node_id": "node_1929", + "improvement_over_parent": null + }, + "node_1931": { + "node_id": "node_1931", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1930", + "improvement_over_parent": null + }, + "node_1932": { + "node_id": "node_1932", + "content": "INITIAL DESIGN (Trace 274)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0028)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0038)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0036)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0022)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0034)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0037)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0029)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0030)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0022)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0028)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0031)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0025)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0027)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0020)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0030)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0026)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0040)]\n\nPerformance:\n Mass: 102.37 kg\n Factor of Safety: 0.65\n Max Deflection: 2.28e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 102.36945280833984, + "fos_buckling": 0.6509846955548936, + "fos_yielding": 2.6422153393047023, + "deflection": 0.022775441296542534, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1933": { + "node_id": "node_1933", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0025)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n\nPerformance:\n Mass: 126.24 kg\n Factor of Safety: 0.78\n Max Deflection: 1.85e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 126.23606417824405, + "fos_buckling": 0.7839972261802298, + "fos_yielding": 3.2555937511893798, + "deflection": 0.018533223711548214, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.247)" + }, + "parent_node_id": "node_1932", + "improvement_over_parent": null + }, + "node_1934": { + "node_id": "node_1934", + "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0025)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n\nPerformance:\n Mass: 135.58 kg\n Factor of Safety: 1.06\n Max Deflection: 1.68e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 135.58028421001902, + "fos_buckling": 1.0605280896103066, + "fos_yielding": 3.2564630781583705, + "deflection": 0.016832355627888918, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.004119)" + }, + "parent_node_id": "node_1933", + "improvement_over_parent": null + }, + "node_1935": { + "node_id": "node_1935", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n\nPerformance:\n Mass: 169.67 kg\n Factor of Safety: 1.29\n Max Deflection: 1.35e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.67057790627572, + "fos_buckling": 1.2865522324411636, + "fos_yielding": 4.070843185965865, + "deflection": 0.01351521237881738, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.271)" + }, + "parent_node_id": "node_1934", + "improvement_over_parent": null + }, + "node_1936": { + "node_id": "node_1936", + "content": "MODIFICATION: Increase 16 thickness by 45%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n\nPerformance:\n Mass: 172.39 kg\n Factor of Safety: 1.33\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.3898763750133, + "fos_buckling": 1.3287204839047762, + "fos_yielding": 4.076836544616482, + "deflection": 0.013268371934856724, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.447)" + }, + "parent_node_id": "node_1935", + "improvement_over_parent": null + }, + "node_1937": { + "node_id": "node_1937", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n Mass: 204.72 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.7227633759078, + "fos_buckling": 1.5304982754475782, + "fos_yielding": 4.837282515889142, + "deflection": 0.011225594681708896, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.206)" + }, + "parent_node_id": "node_1936", + "improvement_over_parent": null + }, + "node_1938": { + "node_id": "node_1938", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1937", + "improvement_over_parent": null + }, + "node_1939": { + "node_id": "node_1939", + "content": "INITIAL DESIGN (Trace 275)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (17 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0043)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n\nPerformance:\n Mass: 128.96 kg\n Factor of Safety: 0.17\n Max Deflection: 1.87e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 128.96455293527092, + "fos_buckling": 0.17270921849415197, + "fos_yielding": 2.6295584340116207, + "deflection": 18730627155795.18, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1940": { + "node_id": "node_1940", + "content": "MODIFICATION: Increase 4 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (17 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0043)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n\nPerformance:\n Mass: 129.96 kg\n Factor of Safety: 0.13\n Max Deflection: 3.76e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 129.95821998065492, + "fos_buckling": 0.129531913870614, + "fos_yielding": 1.9721688255087158, + "deflection": 37591597154483.234, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.312)" + }, + "parent_node_id": "node_1939", + "improvement_over_parent": null + }, + "node_1941": { + "node_id": "node_1941", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0043)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n M17: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n\nPerformance:\n Mass: 140.38 kg\n Factor of Safety: 0.21\n Max Deflection: 1.92e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 140.3771310475078, + "fos_buckling": 0.20615642476398272, + "fos_yielding": 2.867742328148329, + "deflection": 19191158522557.414, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.005310)" + }, + "parent_node_id": "node_1940", + "improvement_over_parent": null + }, + "node_1942": { + "node_id": "node_1942", + "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0043)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n M17: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n\nPerformance:\n Mass: 142.98 kg\n Factor of Safety: 0.24\n Max Deflection: 4.60e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 142.97640759037532, + "fos_buckling": 0.2390697451783614, + "fos_yielding": 1.1664905761544988, + "deflection": 0.046004287137478166, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003421)" + }, + "parent_node_id": "node_1941", + "improvement_over_parent": null + }, + "node_1943": { + "node_id": "node_1943", + "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0043)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n M17: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n\nPerformance:\n Mass: 154.56 kg\n Factor of Safety: 0.24\n Max Deflection: 4.36e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 154.561843796064, + "fos_buckling": 0.2388367562505373, + "fos_yielding": 1.1653372605759182, + "deflection": 0.043558961517936645, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.005184)" + }, + "parent_node_id": "node_1942", + "improvement_over_parent": null + }, + "node_1944": { + "node_id": "node_1944", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0053)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M17: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n Mass: 185.30 kg\n Factor of Safety: 0.28\n Max Deflection: 3.64e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.2988534281274, + "fos_buckling": 0.27665278563113593, + "fos_yielding": 1.3917215674572994, + "deflection": 0.036434050356268524, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.218)" + }, + "parent_node_id": "node_1943", + "improvement_over_parent": null + }, + "node_1945": { + "node_id": "node_1945", + "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0053)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M17: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 200.48 kg\n Factor of Safety: 1.53\n Max Deflection: 1.18e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 200.4834074430288, + "fos_buckling": 1.5257844644088898, + "fos_yielding": 4.834428032694347, + "deflection": 0.01182591312719287, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)" + }, + "parent_node_id": "node_1944", + "improvement_over_parent": null + }, + "node_1946": { + "node_id": "node_1946", + "content": "MODIFICATION: Increase 2 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M17: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 204.71 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.7093440999593, + "fos_buckling": 1.530425343276492, + "fos_yielding": 4.836889733065979, + "deflection": 0.011225893748657454, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.393)" + }, + "parent_node_id": "node_1945", + "improvement_over_parent": null + }, + "node_1947": { + "node_id": "node_1947", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1946", + "improvement_over_parent": null + }, + "node_1948": { + "node_id": "node_1948", + "content": "INITIAL DESIGN (Trace 276)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0016)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0041)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0038)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0023)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0036)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0031)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0020)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0030)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0033)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0026)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0029)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0031)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0032)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0043)]\n\nPerformance:\n Mass: 112.69 kg\n Factor of Safety: 0.56\n Max Deflection: 2.18e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 112.68789787269543, + "fos_buckling": 0.5556537364865632, + "fos_yielding": 1.7784464419130357, + "deflection": 0.02182875976066144, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1949": { + "node_id": "node_1949", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0018)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0045)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0043)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0040)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0022)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0037)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0029)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0032)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0035)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0048)]\n\nPerformance:\n Mass: 125.17 kg\n Factor of Safety: 0.61\n Max Deflection: 1.97e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 125.17320517298707, + "fos_buckling": 0.6108921498913688, + "fos_yielding": 1.9789231381943393, + "deflection": 0.01967309092758433, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.117)" + }, + "parent_node_id": "node_1948", + "improvement_over_parent": null + }, + "node_1950": { + "node_id": "node_1950", + "content": "MODIFICATION: Increase 8 thickness by 60%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0018)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0045)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0043)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0040)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0035)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0037)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0029)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0032)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0035)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0048)]\n\nPerformance:\n Mass: 126.52 kg\n Factor of Safety: 0.61\n Max Deflection: 1.95e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 126.51894502404242, + "fos_buckling": 0.611709388465985, + "fos_yielding": 3.0546347055452103, + "deflection": 0.019521685398413136, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.597)" + }, + "parent_node_id": "node_1949", + "improvement_over_parent": null + }, + "node_1951": { + "node_id": "node_1951", + "content": "MODIFICATION: Increase 0 thickness by 54%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0027)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0045)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0043)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0040)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0035)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0037)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0029)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0032)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0035)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0048)]\n\nPerformance:\n Mass: 128.04 kg\n Factor of Safety: 0.61\n Max Deflection: 1.93e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 128.0424477127414, + "fos_buckling": 0.610963368948802, + "fos_yielding": 3.095193693607495, + "deflection": 0.01933137825517678, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.536)" + }, + "parent_node_id": "node_1950", + "improvement_over_parent": null + }, + "node_1952": { + "node_id": "node_1952", + "content": "MODIFICATION: Increase 0 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0045)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0043)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0040)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0035)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0037)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0029)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0032)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0035)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0048)]\n\nPerformance:\n Mass: 129.02 kg\n Factor of Safety: 0.61\n Max Deflection: 1.93e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 129.02041457046522, + "fos_buckling": 0.6106816343175774, + "fos_yielding": 3.111307867732153, + "deflection": 0.019257335692054085, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.230)" + }, + "parent_node_id": "node_1951", + "improvement_over_parent": null + }, + "node_1953": { + "node_id": "node_1953", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n Mass: 160.03 kg\n Factor of Safety: 0.74\n Max Deflection: 1.56e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 160.0317586769888, + "fos_buckling": 0.7387226116091037, + "fos_yielding": 3.855909729216929, + "deflection": 0.015567474900287823, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.258)" + }, + "parent_node_id": "node_1952", + "improvement_over_parent": null + }, + "node_1954": { + "node_id": "node_1954", + "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n\nPerformance:\n Mass: 162.51 kg\n Factor of Safety: 1.26\n Max Deflection: 1.41e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.50591718225576, + "fos_buckling": 1.2641328510603256, + "fos_yielding": 3.8429213872933587, + "deflection": 0.014055185331505212, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003244)" + }, + "parent_node_id": "node_1953", + "improvement_over_parent": null + }, + "node_1955": { + "node_id": "node_1955", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n Mass: 204.69 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.69311502287914, + "fos_buckling": 1.5303764256774701, + "fos_yielding": 4.835125543005644, + "deflection": 0.011227265984842857, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.285)" + }, + "parent_node_id": "node_1954", + "improvement_over_parent": null + }, + "node_1956": { + "node_id": "node_1956", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1955", + "improvement_over_parent": null + }, + "node_1957": { + "node_id": "node_1957", + "content": "INITIAL DESIGN (Trace 277)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0027)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0032)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0037)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0035)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0021)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0022)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0036)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0029)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0029)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0021)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0027)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0030)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0024)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0027)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0029)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0029)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0032)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0039)]\n\nPerformance:\n Mass: 101.18 kg\n Factor of Safety: 0.58\n Max Deflection: 2.15e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 101.17962922926027, + "fos_buckling": 0.5802910370478814, + "fos_yielding": 2.528418899528897, + "deflection": 0.021546375983198387, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1958": { + "node_id": "node_1958", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0031)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0043)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0040)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0025)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0033)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0031)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0035)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0028)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0033)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0033)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0045)]\n\nPerformance:\n Mass: 115.79 kg\n Factor of Safety: 0.66\n Max Deflection: 1.89e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 115.7884611211211, + "fos_buckling": 0.6561607390370818, + "fos_yielding": 2.8920909587917634, + "deflection": 0.018862342871298187, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.152)" + }, + "parent_node_id": "node_1957", + "improvement_over_parent": null + }, + "node_1959": { + "node_id": "node_1959", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0031)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0043)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0040)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0025)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0033)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0031)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0035)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0028)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0033)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0033)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0045)]\n M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n\nPerformance:\n Mass: 116.47 kg\n Factor of Safety: 0.66\n Max Deflection: 1.88e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 116.47241671260501, + "fos_buckling": 0.6562386234713363, + "fos_yielding": 2.942000879343708, + "deflection": 0.018820400840587753, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.001466)" + }, + "parent_node_id": "node_1958", + "improvement_over_parent": null + }, + "node_1960": { + "node_id": "node_1960", + "content": "MODIFICATION: Increase 5 thickness by 53%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0031)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0043)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0040)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0038)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0033)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0031)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0035)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0028)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0033)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0033)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0045)]\n M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n\nPerformance:\n Mass: 119.00 kg\n Factor of Safety: 0.66\n Max Deflection: 1.77e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 119.00173773060341, + "fos_buckling": 0.6566709934875815, + "fos_yielding": 2.9491060051717986, + "deflection": 0.017698606998540846, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.527)" + }, + "parent_node_id": "node_1959", + "improvement_over_parent": null + }, + "node_1961": { + "node_id": "node_1961", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n\nPerformance:\n Mass: 137.69 kg\n Factor of Safety: 0.75\n Max Deflection: 1.53e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 137.68689390360976, + "fos_buckling": 0.7485303605122295, + "fos_yielding": 3.4104248934473005, + "deflection": 0.015325243522827126, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.167)" + }, + "parent_node_id": "node_1960", + "improvement_over_parent": null + }, + "node_1962": { + "node_id": "node_1962", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n\nPerformance:\n Mass: 164.37 kg\n Factor of Safety: 0.87\n Max Deflection: 1.29e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.36551790501315, + "fos_buckling": 0.8743367481746912, + "fos_yielding": 4.068281414721243, + "deflection": 0.01287181437460793, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.209)" + }, + "parent_node_id": "node_1961", + "improvement_over_parent": null + }, + "node_1963": { + "node_id": "node_1963", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n\nPerformance:\n Mass: 195.95 kg\n Factor of Safety: 1.02\n Max Deflection: 1.08e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.94566179721699, + "fos_buckling": 1.0150810495318947, + "fos_yielding": 4.845768290046234, + "deflection": 0.01083110519942707, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.211)" + }, + "parent_node_id": "node_1962", + "improvement_over_parent": null + }, + "node_1964": { + "node_id": "node_1964", + "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n Mass: 204.56 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.55615083029087, + "fos_buckling": 1.529430690100873, + "fos_yielding": 4.833066752707376, + "deflection": 0.011234266336565412, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)" + }, + "parent_node_id": "node_1963", + "improvement_over_parent": null + }, + "node_1965": { + "node_id": "node_1965", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1964", + "improvement_over_parent": null + }, + "node_1966": { + "node_id": "node_1966", + "content": "INITIAL DESIGN (Trace 278)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0045)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0042)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0040)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0035)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0037)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0029)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0032)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0027)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0048)]\n\nPerformance:\n Mass: 126.09 kg\n Factor of Safety: 0.86\n Max Deflection: 1.82e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 126.08761028352026, + "fos_buckling": 0.8627898937293104, + "fos_yielding": 3.093031672843368, + "deflection": 0.018236797528303032, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1967": { + "node_id": "node_1967", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0031)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0033)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n Mass: 154.14 kg\n Factor of Safety: 1.04\n Max Deflection: 1.50e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 154.140204816774, + "fos_buckling": 1.0393650671572527, + "fos_yielding": 3.7770357145507822, + "deflection": 0.014974853830121095, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.238)" + }, + "parent_node_id": "node_1966", + "improvement_over_parent": null + }, + "node_1968": { + "node_id": "node_1968", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n\nPerformance:\n Mass: 174.66 kg\n Factor of Safety: 1.16\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.6600699754309, + "fos_buckling": 1.1648925499921607, + "fos_yielding": 4.276364241171793, + "deflection": 0.01325216938516429, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.144)" + }, + "parent_node_id": "node_1967", + "improvement_over_parent": null + }, + "node_1969": { + "node_id": "node_1969", + "content": "MODIFICATION: Increase 17 thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n\nPerformance:\n Mass: 176.99 kg\n Factor of Safety: 1.36\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.98539309334276, + "fos_buckling": 1.359258547678047, + "fos_yielding": 4.277409164169853, + "deflection": 0.013343410609761405, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.325)" + }, + "parent_node_id": "node_1968", + "improvement_over_parent": null + }, + "node_1970": { + "node_id": "node_1970", + "content": "MODIFICATION: Increase 1 thickness by 54%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n\nPerformance:\n Mass: 180.46 kg\n Factor of Safety: 1.38\n Max Deflection: 1.27e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.46182811418984, + "fos_buckling": 1.3804939900272848, + "fos_yielding": 4.266783366668126, + "deflection": 0.01269007634447382, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.536)" + }, + "parent_node_id": "node_1969", + "improvement_over_parent": null + }, + "node_1971": { + "node_id": "node_1971", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.77 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.76931831972905, + "fos_buckling": 1.5307948961765825, + "fos_yielding": 4.838350858322581, + "deflection": 0.011223333464205149, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.148)" + }, + "parent_node_id": "node_1970", + "improvement_over_parent": null + }, + "node_1972": { + "node_id": "node_1972", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1971", + "improvement_over_parent": null + }, + "node_1973": { + "node_id": "node_1973", + "content": "INITIAL DESIGN (Trace 279)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0040)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n Mass: 149.11 kg\n Factor of Safety: 0.84\n Max Deflection: 1.43e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 149.10708191452085, + "fos_buckling": 0.8378543562150548, + "fos_yielding": 4.129994547384908, + "deflection": 0.014348132807856741, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1974": { + "node_id": "node_1974", + "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0040)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n\nPerformance:\n Mass: 156.00 kg\n Factor of Safety: 0.84\n Max Deflection: 1.50e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 155.99510134439325, + "fos_buckling": 0.8364151528850818, + "fos_yielding": 4.129994547384908, + "deflection": 0.015008613668652113, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.003901)" + }, + "parent_node_id": "node_1973", + "improvement_over_parent": null + }, + "node_1975": { + "node_id": "node_1975", + "content": "MODIFICATION: Increase 13 thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n\nPerformance:\n Mass: 157.52 kg\n Factor of Safety: 0.97\n Max Deflection: 1.47e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.51618272798547, + "fos_buckling": 0.9651445180164783, + "fos_yielding": 4.129994547384908, + "deflection": 0.014740740247424406, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.192)" + }, + "parent_node_id": "node_1974", + "improvement_over_parent": null + }, + "node_1976": { + "node_id": "node_1976", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n Mass: 196.83 kg\n Factor of Safety: 1.15\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.8293415591525, + "fos_buckling": 1.153927354724193, + "fos_yielding": 5.1598296342351695, + "deflection": 0.01186961921729905, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.274)" + }, + "parent_node_id": "node_1975", + "improvement_over_parent": null + }, + "node_1977": { + "node_id": "node_1977", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n Mass: 204.61 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.61099007140498, + "fos_buckling": 1.5298140667441837, + "fos_yielding": 4.834507001473379, + "deflection": 0.011231729501771114, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004727)" + }, + "parent_node_id": "node_1976", + "improvement_over_parent": null + }, + "node_1978": { + "node_id": "node_1978", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1977", + "improvement_over_parent": null + }, + "node_1979": { + "node_id": "node_1979", + "content": "INITIAL DESIGN (Trace 280)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (17 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0057)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0066)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0051)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0023)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0054)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0052)]\n M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0045)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0057)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0070)]\n\nPerformance:\n Mass: 161.30 kg\n Factor of Safety: 0.63\n Max Deflection: 3.11e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 161.29723395258557, + "fos_buckling": 0.6316762115936172, + "fos_yielding": 3.7254696063566843, + "deflection": 0.0310588998593406, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1980": { + "node_id": "node_1980", + "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (17 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 177.62 kg\n Factor of Safety: 0.68\n Max Deflection: 2.82e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.62039958482373, + "fos_buckling": 0.6830705468166626, + "fos_yielding": 4.091363691960305, + "deflection": 0.02823136120456593, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.111)" + }, + "parent_node_id": "node_1979", + "improvement_over_parent": null + }, + "node_1981": { + "node_id": "node_1981", + "content": "MODIFICATION: Increase 6 thickness by 45%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (17 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 182.06 kg\n Factor of Safety: 0.68\n Max Deflection: 2.63e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.0587698802549, + "fos_buckling": 0.6823014945645441, + "fos_yielding": 4.086805267403823, + "deflection": 0.02627436351876223, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.453)" + }, + "parent_node_id": "node_1980", + "improvement_over_parent": null + }, + "node_1982": { + "node_id": "node_1982", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M17: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n\nPerformance:\n Mass: 193.07 kg\n Factor of Safety: 1.04\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.0744267561419, + "fos_buckling": 1.0428903173222808, + "fos_yielding": 5.161780691092025, + "deflection": 0.013095730307331428, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.005624)" + }, + "parent_node_id": "node_1981", + "improvement_over_parent": null + }, + "node_1983": { + "node_id": "node_1983", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M17: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M18: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n Mass: 200.86 kg\n Factor of Safety: 1.06\n Max Deflection: 1.29e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.85607526839436, + "fos_buckling": 1.0618512953987005, + "fos_yielding": 4.891552394135293, + "deflection": 0.012861313321150458, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004727)" + }, + "parent_node_id": "node_1982", + "improvement_over_parent": null + }, + "node_1984": { + "node_id": "node_1984", + "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M17: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M18: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n Mass: 203.97 kg\n Factor of Safety: 1.53\n Max Deflection: 1.13e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 203.97145316811478, + "fos_buckling": 1.5284448364123895, + "fos_yielding": 4.840468601345345, + "deflection": 0.011344925895032242, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)" + }, + "parent_node_id": "node_1983", + "improvement_over_parent": null + }, + "node_1985": { + "node_id": "node_1985", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M17: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M18: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n Mass: 204.69 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.68758499458843, + "fos_buckling": 1.5302910443447582, + "fos_yielding": 4.836330220496922, + "deflection": 0.011227354300380995, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)" + }, + "parent_node_id": "node_1984", + "improvement_over_parent": null + }, + "node_1986": { + "node_id": "node_1986", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1985", + "improvement_over_parent": null + }, + "node_1987": { + "node_id": "node_1987", + "content": "INITIAL DESIGN (Trace 281)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0035)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0019)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n Mass: 152.94 kg\n Factor of Safety: 0.89\n Max Deflection: 1.56e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 152.9433202356564, + "fos_buckling": 0.8880257855864744, + "fos_yielding": 3.7418500691775036, + "deflection": 0.015640662714098804, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1988": { + "node_id": "node_1988", + "content": "MODIFICATION: Increase 2 thickness by 59%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0019)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n Mass: 157.34 kg\n Factor of Safety: 0.98\n Max Deflection: 1.44e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.34482470017065, + "fos_buckling": 0.9764927320192693, + "fos_yielding": 3.7448334401744714, + "deflection": 0.014449990423604776, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.590)" + }, + "parent_node_id": "node_1987", + "improvement_over_parent": null + }, + "node_1989": { + "node_id": "node_1989", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 203.66 kg\n Factor of Safety: 1.24\n Max Deflection: 1.12e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.66186450980376, + "fos_buckling": 1.2432560600216471, + "fos_yielding": 4.84071385112692, + "deflection": 0.011239728097856483, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.323)" + }, + "parent_node_id": "node_1988", + "improvement_over_parent": null + }, + "node_1990": { + "node_id": "node_1990", + "content": "MODIFICATION: Increase 11 thickness by 65%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.82 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.81858510425226, + "fos_buckling": 1.5310647050293409, + "fos_yielding": 4.839397976053088, + "deflection": 0.011220178106190639, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.647)" + }, + "parent_node_id": "node_1989", + "improvement_over_parent": null + }, + "node_1991": { + "node_id": "node_1991", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1990", + "improvement_over_parent": null + }, + "node_1992": { + "node_id": "node_1992", + "content": "INITIAL DESIGN (Trace 282)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0029)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n\nPerformance:\n Mass: 144.51 kg\n Factor of Safety: 0.55\n Max Deflection: 2.00e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 144.5130481850354, + "fos_buckling": 0.5480767011291419, + "fos_yielding": 3.663947539915987, + "deflection": 0.020012160265046607, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1993": { + "node_id": "node_1993", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 188.44 kg\n Factor of Safety: 0.68\n Max Deflection: 1.54e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.44463028831902, + "fos_buckling": 0.6826612556437285, + "fos_yielding": 4.769610511098773, + "deflection": 0.015402748479144848, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.333)" + }, + "parent_node_id": "node_1992", + "improvement_over_parent": null + }, + "node_1994": { + "node_id": "node_1994", + "content": "MODIFICATION: Increase 1 thickness by 64%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 192.84 kg\n Factor of Safety: 0.68\n Max Deflection: 1.38e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.84298946659698, + "fos_buckling": 0.682407417462711, + "fos_yielding": 4.768742537448549, + "deflection": 0.013816824538104174, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.642)" + }, + "parent_node_id": "node_1993", + "improvement_over_parent": null + }, + "node_1995": { + "node_id": "node_1995", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n\nPerformance:\n Mass: 203.86 kg\n Factor of Safety: 1.49\n Max Deflection: 1.13e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.85864634248395, + "fos_buckling": 1.4921424017764051, + "fos_yielding": 4.852578716122489, + "deflection": 0.01125204714812107, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.005624)" + }, + "parent_node_id": "node_1994", + "improvement_over_parent": null + }, + "node_1996": { + "node_id": "node_1996", + "content": "MODIFICATION: Increase 4 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n\nPerformance:\n Mass: 204.76 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.7611020497673, + "fos_buckling": 1.5308061119074772, + "fos_yielding": 4.838430100439378, + "deflection": 0.011223630983360123, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.225)" + }, + "parent_node_id": "node_1995", + "improvement_over_parent": null + }, + "node_1997": { + "node_id": "node_1997", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1996", + "improvement_over_parent": null + }, + "node_1998": { + "node_id": "node_1998", + "content": "INITIAL DESIGN (Trace 283)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 189.62 kg\n Factor of Safety: 1.09\n Max Deflection: 1.28e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.6237546080905, + "fos_buckling": 1.093890980279394, + "fos_yielding": 4.850128770087967, + "deflection": 0.012805331901626742, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1999": { + "node_id": "node_1999", + "content": "MODIFICATION: Increase 14 thickness by 56%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 193.35 kg\n Factor of Safety: 1.09\n Max Deflection: 1.25e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.3536942959376, + "fos_buckling": 1.0935453903420007, + "fos_yielding": 4.855424553398127, + "deflection": 0.0124530042066331, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.562)" + }, + "parent_node_id": "node_1998", + "improvement_over_parent": null + }, + "node_2000": { + "node_id": "node_2000", + "content": "MODIFICATION: Increase 4 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 194.51 kg\n Factor of Safety: 1.09\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.51400696334173, + "fos_buckling": 1.093509567370815, + "fos_yielding": 4.836561392513081, + "deflection": 0.012418587159833563, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.307)" + }, + "parent_node_id": "node_1999", + "improvement_over_parent": null + }, + "node_2001": { + "node_id": "node_2001", + "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n Mass: 203.98 kg\n Factor of Safety: 1.53\n Max Deflection: 1.13e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 203.97832152539655, + "fos_buckling": 1.528549871306871, + "fos_yielding": 4.840902846475832, + "deflection": 0.011345006813872145, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)" + }, + "parent_node_id": "node_2000", + "improvement_over_parent": null + }, + "node_2002": { + "node_id": "node_2002", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n Mass: 204.69 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.6944533518702, + "fos_buckling": 1.5304009698542647, + "fos_yielding": 4.83675576112414, + "deflection": 0.011227150746570788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)" + }, + "parent_node_id": "node_2001", + "improvement_over_parent": null + }, + "node_2003": { + "node_id": "node_2003", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2002", + "improvement_over_parent": null + }, + "node_2004": { + "node_id": "node_2004", + "content": "INITIAL DESIGN (Trace 284)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n Mass: 158.15 kg\n Factor of Safety: 0.98\n Max Deflection: 1.46e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 158.14925319353765, + "fos_buckling": 0.9750537887230029, + "fos_yielding": 4.179738467091235, + "deflection": 0.014596863722272944, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2005": { + "node_id": "node_2005", + "content": "MODIFICATION: Increase 14 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n Mass: 159.41 kg\n Factor of Safety: 0.97\n Max Deflection: 1.46e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.41291910515187, + "fos_buckling": 0.9745420841104038, + "fos_yielding": 4.179738467091235, + "deflection": 0.014569849359355314, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.211)" + }, + "parent_node_id": "node_2004", + "improvement_over_parent": null + }, + "node_2006": { + "node_id": "node_2006", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n\nPerformance:\n Mass: 165.71 kg\n Factor of Safety: 1.29\n Max Deflection: 1.38e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.71156932520108, + "fos_buckling": 1.2852261702490153, + "fos_yielding": 3.919634333915377, + "deflection": 0.01378967825505452, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003756)" + }, + "parent_node_id": "node_2005", + "improvement_over_parent": null + }, + "node_2007": { + "node_id": "node_2007", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n Mass: 204.65 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.65069650243768, + "fos_buckling": 1.5300949276128322, + "fos_yielding": 4.835626820209244, + "deflection": 0.011229464156492355, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.258)" + }, + "parent_node_id": "node_2006", + "improvement_over_parent": null + }, + "node_2008": { + "node_id": "node_2008", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2007", + "improvement_over_parent": null + }, + "node_2009": { + "node_id": "node_2009", + "content": "INITIAL DESIGN (Trace 285)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0026)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n\nPerformance:\n Mass: 124.79 kg\n Factor of Safety: 0.32\n Max Deflection: 2.19e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 124.79284237771242, + "fos_buckling": 0.3230527952397563, + "fos_yielding": 2.784741474403313, + "deflection": 0.021940930802580687, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2010": { + "node_id": "node_2010", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0023)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0030)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n\nPerformance:\n Mass: 141.61 kg\n Factor of Safety: 0.36\n Max Deflection: 1.94e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 141.60987653281467, + "fos_buckling": 0.3595036409357191, + "fos_yielding": 3.1567097358517384, + "deflection": 0.01938810967834957, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.144)" + }, + "parent_node_id": "node_2009", + "improvement_over_parent": null + }, + "node_2011": { + "node_id": "node_2011", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0023)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0030)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n\nPerformance:\n Mass: 142.15 kg\n Factor of Safety: 0.36\n Max Deflection: 1.89e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 142.15490638124678, + "fos_buckling": 0.3594383190577912, + "fos_yielding": 3.1565967977028255, + "deflection": 0.018917033621274743, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001486)" + }, + "parent_node_id": "node_2010", + "improvement_over_parent": null + }, + "node_2012": { + "node_id": "node_2012", + "content": "MODIFICATION: Increase 11 thickness by 35%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0023)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0030)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n\nPerformance:\n Mass: 143.40 kg\n Factor of Safety: 0.36\n Max Deflection: 1.89e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 143.4049928598883, + "fos_buckling": 0.3594383190577912, + "fos_yielding": 3.1565967977028255, + "deflection": 0.01885010739119007, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.348)" + }, + "parent_node_id": "node_2011", + "improvement_over_parent": null + }, + "node_2013": { + "node_id": "node_2013", + "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0023)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0030)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n\nPerformance:\n Mass: 152.95 kg\n Factor of Safety: 1.17\n Max Deflection: 1.48e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 152.95309860927122, + "fos_buckling": 1.1665241111466622, + "fos_yielding": 3.6890288475172026, + "deflection": 0.014770290710076758, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.004465)" + }, + "parent_node_id": "node_2012", + "improvement_over_parent": null + }, + "node_2014": { + "node_id": "node_2014", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0064)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n\nPerformance:\n Mass: 179.05 kg\n Factor of Safety: 1.33\n Max Deflection: 1.27e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.04810614356623, + "fos_buckling": 1.3327669753768594, + "fos_yielding": 4.314962104695153, + "deflection": 0.012665806767632685, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.185)" + }, + "parent_node_id": "node_2013", + "improvement_over_parent": null + }, + "node_2015": { + "node_id": "node_2015", + "content": "MODIFICATION: Increase 19 thickness by 56%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0064)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0027)]\n M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n\nPerformance:\n Mass: 179.36 kg\n Factor of Safety: 1.33\n Max Deflection: 1.26e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.35852172404216, + "fos_buckling": 1.333042906899044, + "fos_yielding": 4.314293928287467, + "deflection": 0.012643555907719782, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(19, thickness, 1.555)" + }, + "parent_node_id": "node_2014", + "improvement_over_parent": null + }, + "node_2016": { + "node_id": "node_2016", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0072)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0031)]\n M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 201.24 kg\n Factor of Safety: 1.47\n Max Deflection: 1.13e-02 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.23903604501237, + "fos_buckling": 1.4650203034897338, + "fos_yielding": 4.837542129657727, + "deflection": 0.01130490177004702, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.134)" + }, + "parent_node_id": "node_2015", + "improvement_over_parent": null + }, + "node_2017": { + "node_id": "node_2017", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2016", + "improvement_over_parent": null + }, + "node_2018": { + "node_id": "node_2018", + "content": "INITIAL DESIGN (Trace 286)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0030)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0041)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0039)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0036)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0033)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0032)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0023)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0030)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0029)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0032)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0044)]\n\nPerformance:\n Mass: 113.04 kg\n Factor of Safety: 0.63\n Max Deflection: 1.89e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 113.039957449207, + "fos_buckling": 0.6347213094630796, + "fos_yielding": 2.841569488968486, + "deflection": 0.018877771900658504, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2019": { + "node_id": "node_2019", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0049)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0046)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0043)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0040)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n\nPerformance:\n Mass: 132.01 kg\n Factor of Safety: 0.73\n Max Deflection: 1.62e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 132.0105362273315, + "fos_buckling": 0.7298977576099319, + "fos_yielding": 3.3163590668948837, + "deflection": 0.01620777957971206, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.178)" + }, + "parent_node_id": "node_2018", + "improvement_over_parent": null + }, + "node_2020": { + "node_id": "node_2020", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n\nPerformance:\n Mass: 158.40 kg\n Factor of Safety: 0.86\n Max Deflection: 1.36e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 158.40378059913363, + "fos_buckling": 0.8568389278151408, + "fos_yielding": 3.9758995886133857, + "deflection": 0.013556661259814891, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.215)" + }, + "parent_node_id": "node_2019", + "improvement_over_parent": null + }, + "node_2021": { + "node_id": "node_2021", + "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n\nPerformance:\n Mass: 165.46 kg\n Factor of Safety: 1.16\n Max Deflection: 1.42e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.4622455207847, + "fos_buckling": 1.161529536499738, + "fos_yielding": 3.9669204863583793, + "deflection": 0.014183835277032186, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004005)" + }, + "parent_node_id": "node_2020", + "improvement_over_parent": null + }, + "node_2022": { + "node_id": "node_2022", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n Mass: 201.97 kg\n Factor of Safety: 1.38\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.97303992589846, + "fos_buckling": 1.3790203274005837, + "fos_yielding": 4.836440583530804, + "deflection": 0.011674837591001986, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.242)" + }, + "parent_node_id": "node_2021", + "improvement_over_parent": null + }, + "node_2023": { + "node_id": "node_2023", + "content": "MODIFICATION: Increase 6 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n Mass: 204.62 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.62216762666483, + "fos_buckling": 1.5297976210138977, + "fos_yielding": 4.834521818556863, + "deflection": 0.011230554268850385, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.232)" + }, + "parent_node_id": "node_2022", + "improvement_over_parent": null + }, + "node_2024": { + "node_id": "node_2024", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2023", + "improvement_over_parent": null + }, + "node_2025": { + "node_id": "node_2025", + "content": "INITIAL DESIGN (Trace 287)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0054)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0035)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0057)]\n\nPerformance:\n Mass: 143.28 kg\n Factor of Safety: 0.27\n Max Deflection: 5.59e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 143.28103202089838, + "fos_buckling": 0.2682756880041739, + "fos_yielding": 2.0485268821654605, + "deflection": 0.055865629230402974, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2026": { + "node_id": "node_2026", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0054)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0035)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0057)]\n M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0039)]\n\nPerformance:\n Mass: 151.06 kg\n Factor of Safety: 1.06\n Max Deflection: 1.53e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 151.05792920390678, + "fos_buckling": 1.0635011833224857, + "fos_yielding": 3.6604267900695793, + "deflection": 0.015251435004434922, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.003887)" + }, + "parent_node_id": "node_2025", + "improvement_over_parent": null + }, + "node_2027": { + "node_id": "node_2027", + "content": "MODIFICATION: Increase 5 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0054)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0035)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0057)]\n M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0039)]\n\nPerformance:\n Mass: 153.48 kg\n Factor of Safety: 1.08\n Max Deflection: 1.47e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 153.4750403367064, + "fos_buckling": 1.0785647669884966, + "fos_yielding": 3.6575508716645104, + "deflection": 0.014653008756367008, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.229)" + }, + "parent_node_id": "node_2026", + "improvement_over_parent": null + }, + "node_2028": { + "node_id": "node_2028", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0073)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n\nPerformance:\n Mass: 172.08 kg\n Factor of Safety: 1.19\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.08391522369735, + "fos_buckling": 1.1914336709151838, + "fos_yielding": 4.099174254026904, + "deflection": 0.013106490820473885, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.131)" + }, + "parent_node_id": "node_2027", + "improvement_over_parent": null + }, + "node_2029": { + "node_id": "node_2029", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0073)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n\nPerformance:\n Mass: 172.69 kg\n Factor of Safety: 1.20\n Max Deflection: 1.30e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.69074622377667, + "fos_buckling": 1.2020553822379245, + "fos_yielding": 4.097258925700922, + "deflection": 0.013026817959562283, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001668)" + }, + "parent_node_id": "node_2028", + "improvement_over_parent": null + }, + "node_2030": { + "node_id": "node_2030", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0088)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n Mass: 203.81 kg\n Factor of Safety: 1.38\n Max Deflection: 1.11e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.80832980775065, + "fos_buckling": 1.3833215741490654, + "fos_yielding": 4.8318938662965785, + "deflection": 0.011091420695262245, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.198)" + }, + "parent_node_id": "node_2029", + "improvement_over_parent": null + }, + "node_2031": { + "node_id": "node_2031", + "content": "MODIFICATION: Increase 17 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0088)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0077)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n Mass: 206.57 kg\n Factor of Safety: 1.38\n Max Deflection: 1.10e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.57359118343277, + "fos_buckling": 1.3825268904771053, + "fos_yielding": 4.831878551151314, + "deflection": 0.011035623883499482, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.224)" + }, + "parent_node_id": "node_2030", + "improvement_over_parent": null + }, + "node_2032": { + "node_id": "node_2032", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2031", + "improvement_over_parent": null + }, + "node_2033": { + "node_id": "node_2033", + "content": "INITIAL DESIGN (Trace 288)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0044)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0039)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0034)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0028)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0034)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0046)]\n\nPerformance:\n Mass: 110.18 kg\n Factor of Safety: 0.17\n Max Deflection: 5.97e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 110.17653057699518, + "fos_buckling": 0.1743531621476177, + "fos_yielding": 0.8230502006614635, + "deflection": 0.05966112945349906, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2034": { + "node_id": "node_2034", + "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0044)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0039)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0034)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0028)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0034)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0046)]\n M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n\nPerformance:\n Mass: 119.63 kg\n Factor of Safety: 0.30\n Max Deflection: 2.28e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 119.6306602220298, + "fos_buckling": 0.3025713008081993, + "fos_yielding": 2.583573438507208, + "deflection": 0.022798564957167845, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.004285)" + }, + "parent_node_id": "node_2033", + "improvement_over_parent": null + }, + "node_2035": { + "node_id": "node_2035", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0053)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0050)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0047)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0041)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0039)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0042)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0056)]\n M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n\nPerformance:\n Mass: 143.26 kg\n Factor of Safety: 0.35\n Max Deflection: 1.91e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 143.26176802205035, + "fos_buckling": 0.3529337557615781, + "fos_yielding": 3.0902129175573454, + "deflection": 0.0191094998244259, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.211)" + }, + "parent_node_id": "node_2034", + "improvement_over_parent": null + }, + "node_2036": { + "node_id": "node_2036", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n\nPerformance:\n Mass: 165.91 kg\n Factor of Safety: 0.40\n Max Deflection: 1.66e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.90813207097528, + "fos_buckling": 0.39839377561096406, + "fos_yielding": 3.5746030314966193, + "deflection": 0.016560290214593647, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.171)" + }, + "parent_node_id": "node_2035", + "improvement_over_parent": null + }, + "node_2037": { + "node_id": "node_2037", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 192.34 kg\n Factor of Safety: 0.45\n Max Deflection: 1.43e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.3350820435903, + "fos_buckling": 0.4480294306526985, + "fos_yielding": 4.138455553180456, + "deflection": 0.014344513991194994, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.175)" + }, + "parent_node_id": "node_2036", + "improvement_over_parent": null + }, + "node_2038": { + "node_id": "node_2038", + "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 204.87 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.8740743835596, + "fos_buckling": 1.53150109280296, + "fos_yielding": 4.840980396982561, + "deflection": 0.011217421468984327, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)" + }, + "parent_node_id": "node_2037", + "improvement_over_parent": null + }, + "node_2039": { + "node_id": "node_2039", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2038", + "improvement_over_parent": null + }, + "node_2040": { + "node_id": "node_2040", + "content": "INITIAL DESIGN (Trace 289)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n Mass: 143.42 kg\n Factor of Safety: 0.17\n Max Deflection: 1.89e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 143.4247293183719, + "fos_buckling": 0.17167631638207537, + "fos_yielding": 2.0357985348452274, + "deflection": 18929445200884.832, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2041": { + "node_id": "node_2041", + "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n\nPerformance:\n Mass: 152.64 kg\n Factor of Safety: 0.23\n Max Deflection: 4.39e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 152.63756061075193, + "fos_buckling": 0.231907475960579, + "fos_yielding": 0.892865721821645, + "deflection": 0.04387394988970498, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004532)" + }, + "parent_node_id": "node_2040", + "improvement_over_parent": null + }, + "node_2042": { + "node_id": "node_2042", + "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n\nPerformance:\n Mass: 164.88 kg\n Factor of Safety: 1.28\n Max Deflection: 1.39e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.879936077159, + "fos_buckling": 1.2805952302660228, + "fos_yielding": 3.9041045458109833, + "deflection": 0.013862722778453528, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.005643)" + }, + "parent_node_id": "node_2041", + "improvement_over_parent": null + }, + "node_2043": { + "node_id": "node_2043", + "content": "MODIFICATION: Increase 10 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0046)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n\nPerformance:\n Mass: 165.77 kg\n Factor of Safety: 1.30\n Max Deflection: 1.38e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.76549415530675, + "fos_buckling": 1.2970006109409125, + "fos_yielding": 3.9034602026177856, + "deflection": 0.01384687531881501, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.391)" + }, + "parent_node_id": "node_2042", + "improvement_over_parent": null + }, + "node_2044": { + "node_id": "node_2044", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0058)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 205.59 kg\n Factor of Safety: 1.55\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 205.59150392425965, + "fos_buckling": 1.5492813623072932, + "fos_yielding": 4.8368841786575585, + "deflection": 0.011227902810802545, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.264)" + }, + "parent_node_id": "node_2043", + "improvement_over_parent": null + }, + "node_2045": { + "node_id": "node_2045", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2044", + "improvement_over_parent": null + }, + "node_2046": { + "node_id": "node_2046", + "content": "INITIAL DESIGN (Trace 290)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 191.01 kg\n Factor of Safety: 1.09\n Max Deflection: 1.26e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.01277007482165, + "fos_buckling": 1.0936845862576567, + "fos_yielding": 4.812144419049255, + "deflection": 0.012550229684201167, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2047": { + "node_id": "node_2047", + "content": "MODIFICATION: Increase 14 thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 193.18 kg\n Factor of Safety: 1.09\n Max Deflection: 1.25e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.1758247807256, + "fos_buckling": 1.093484221867346, + "fos_yielding": 4.80732929909625, + "deflection": 0.012493005580393245, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.323)" + }, + "parent_node_id": "node_2046", + "improvement_over_parent": null + }, + "node_2048": { + "node_id": "node_2048", + "content": "MODIFICATION: Increase 12 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 195.23 kg\n Factor of Safety: 1.09\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.22773070643817, + "fos_buckling": 1.093420880928142, + "fos_yielding": 4.835250132064872, + "deflection": 0.012387239898692524, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.215)" + }, + "parent_node_id": "node_2047", + "improvement_over_parent": null + }, + "node_2049": { + "node_id": "node_2049", + "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n Mass: 204.69 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.692045268493, + "fos_buckling": 1.5304023617074527, + "fos_yielding": 4.836716095107153, + "deflection": 0.011227131044697105, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)" + }, + "parent_node_id": "node_2048", + "improvement_over_parent": null + }, + "node_2050": { + "node_id": "node_2050", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2049", + "improvement_over_parent": null + }, + "node_2051": { + "node_id": "node_2051", + "content": "INITIAL DESIGN (Trace 291)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0034)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n Mass: 142.66 kg\n Factor of Safety: 1.14\n Max Deflection: 1.62e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 142.66175950290267, + "fos_buckling": 1.140267109398386, + "fos_yielding": 3.42036922717238, + "deflection": 0.016202201135313284, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2052": { + "node_id": "node_2052", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n Mass: 162.85 kg\n Factor of Safety: 1.28\n Max Deflection: 1.42e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.84848345346873, + "fos_buckling": 1.2795701320740367, + "fos_yielding": 3.9018455614903127, + "deflection": 0.014233494515058653, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.152)" + }, + "parent_node_id": "node_2051", + "improvement_over_parent": null + }, + "node_2053": { + "node_id": "node_2053", + "content": "MODIFICATION: Increase 1 thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n Mass: 164.75 kg\n Factor of Safety: 1.28\n Max Deflection: 1.39e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.7509435686013, + "fos_buckling": 1.2788756720511971, + "fos_yielding": 3.8968643956392506, + "deflection": 0.013867729929917702, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.266)" + }, + "parent_node_id": "node_2052", + "improvement_over_parent": null + }, + "node_2054": { + "node_id": "node_2054", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.81 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.81312178069751, + "fos_buckling": 1.5310287929486195, + "fos_yielding": 4.839263188899725, + "deflection": 0.011220503149063229, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.267)" + }, + "parent_node_id": "node_2053", + "improvement_over_parent": null + }, + "node_2055": { + "node_id": "node_2055", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2054", + "improvement_over_parent": null + }, + "node_2056": { + "node_id": "node_2056", + "content": "INITIAL DESIGN (Trace 292)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0029)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0034)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0039)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0037)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0023)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0035)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0030)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0031)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0018)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0023)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0032)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0025)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0028)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0030)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0031)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0027)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0034)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0042)]\n\nPerformance:\n Mass: 113.63 kg\n Factor of Safety: 0.82\n Max Deflection: 1.99e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 113.62668529051092, + "fos_buckling": 0.8182558589595598, + "fos_yielding": 2.5381757029267233, + "deflection": 0.019927059308582018, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2057": { + "node_id": "node_2057", + "content": "MODIFICATION: Increase 11 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0029)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0034)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0039)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0037)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0023)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0035)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0030)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0031)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0022)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0023)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0032)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0025)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0028)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0030)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0031)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0027)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0034)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0042)]\n\nPerformance:\n Mass: 113.96 kg\n Factor of Safety: 0.81\n Max Deflection: 1.99e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 113.95903649694816, + "fos_buckling": 0.8129571112831507, + "fos_yielding": 2.5217393371360743, + "deflection": 0.0199132268248082, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.247)" + }, + "parent_node_id": "node_2056", + "improvement_over_parent": null + }, + "node_2058": { + "node_id": "node_2058", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0043)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0028)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0040)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n\nPerformance:\n Mass: 138.35 kg\n Factor of Safety: 0.97\n Max Deflection: 1.65e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 138.34747450969076, + "fos_buckling": 0.972305198429383, + "fos_yielding": 3.0647658365969273, + "deflection": 0.016461533115413284, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.227)" + }, + "parent_node_id": "node_2057", + "improvement_over_parent": null + }, + "node_2059": { + "node_id": "node_2059", + "content": "MODIFICATION: Increase 12 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0043)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0040)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n\nPerformance:\n Mass: 139.05 kg\n Factor of Safety: 1.11\n Max Deflection: 1.64e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 139.04626754866163, + "fos_buckling": 1.1051423961086748, + "fos_yielding": 3.29123932489148, + "deflection": 0.016370146663966374, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.263)" + }, + "parent_node_id": "node_2058", + "improvement_over_parent": null + }, + "node_2060": { + "node_id": "node_2060", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n\nPerformance:\n Mass: 172.30 kg\n Factor of Safety: 1.33\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.29854063104236, + "fos_buckling": 1.328170350040565, + "fos_yielding": 4.07468905330067, + "deflection": 0.013275308666361991, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.258)" + }, + "parent_node_id": "node_2059", + "improvement_over_parent": null + }, + "node_2061": { + "node_id": "node_2061", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.62 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.61624482473812, + "fos_buckling": 1.5299037467519083, + "fos_yielding": 4.834782552379782, + "deflection": 0.01123133019647368, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.206)" + }, + "parent_node_id": "node_2060", + "improvement_over_parent": null + }, + "node_2062": { + "node_id": "node_2062", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2061", + "improvement_over_parent": null + }, + "node_2063": { + "node_id": "node_2063", + "content": "INITIAL DESIGN (Trace 293)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0029)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n\nPerformance:\n Mass: 120.21 kg\n Factor of Safety: 0.78\n Max Deflection: 2.10e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 120.21272523786872, + "fos_buckling": 0.7782843805137157, + "fos_yielding": 3.4446059028006877, + "deflection": 0.021016212255874515, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2064": { + "node_id": "node_2064", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n\nPerformance:\n Mass: 153.66 kg\n Factor of Safety: 0.96\n Max Deflection: 1.65e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 153.66245076890473, + "fos_buckling": 0.9603427312094087, + "fos_yielding": 4.4005990850226855, + "deflection": 0.01650918805000846, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.300)" + }, + "parent_node_id": "node_2063", + "improvement_over_parent": null + }, + "node_2065": { + "node_id": "node_2065", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 180.16 kg\n Factor of Safety: 1.09\n Max Deflection: 1.41e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.15907466218795, + "fos_buckling": 1.0940800934748727, + "fos_yielding": 5.157009464428248, + "deflection": 0.014126262152365726, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.189)" + }, + "parent_node_id": "node_2064", + "improvement_over_parent": null + }, + "node_2066": { + "node_id": "node_2066", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 185.47 kg\n Factor of Safety: 1.09\n Max Deflection: 1.35e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.46712013918244, + "fos_buckling": 1.0939159644529244, + "fos_yielding": 4.8360340703397675, + "deflection": 0.013495307405743786, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)" + }, + "parent_node_id": "node_2065", + "improvement_over_parent": null + }, + "node_2067": { + "node_id": "node_2067", + "content": "MODIFICATION: Increase 6 thickness by 57%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0088)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 190.10 kg\n Factor of Safety: 1.09\n Max Deflection: 1.35e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.10377850848636, + "fos_buckling": 1.0934860903860928, + "fos_yielding": 4.83587205173523, + "deflection": 0.013500447270022871, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.572)" + }, + "parent_node_id": "node_2066", + "improvement_over_parent": null + }, + "node_2068": { + "node_id": "node_2068", + "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0088)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n Mass: 203.99 kg\n Factor of Safety: 1.16\n Max Deflection: 1.22e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.98868538410795, + "fos_buckling": 1.1646679401779865, + "fos_yielding": 4.8372546291484655, + "deflection": 0.012209741716054606, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)" + }, + "parent_node_id": "node_2067", + "improvement_over_parent": null + }, + "node_2069": { + "node_id": "node_2069", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2068", + "improvement_over_parent": null + }, + "node_2070": { + "node_id": "node_2070", + "content": "INITIAL DESIGN (Trace 294)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0030)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n Mass: 150.11 kg\n Factor of Safety: 0.23\n Max Deflection: 4.19e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 150.1094960281868, + "fos_buckling": 0.2311758381760878, + "fos_yielding": 1.1153163414627238, + "deflection": 0.04186097687886275, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2071": { + "node_id": "node_2071", + "content": "MODIFICATION: Increase 14 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n Mass: 152.13 kg\n Factor of Safety: 0.23\n Max Deflection: 4.19e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 152.13317320944583, + "fos_buckling": 0.23105777531949706, + "fos_yielding": 1.1209244240895655, + "deflection": 0.041867177405934916, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.387)" + }, + "parent_node_id": "node_2070", + "improvement_over_parent": null + }, + "node_2072": { + "node_id": "node_2072", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 189.41 kg\n Factor of Safety: 0.28\n Max Deflection: 3.38e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.4093888202972, + "fos_buckling": 0.27623410040069507, + "fos_yielding": 1.3894537855846039, + "deflection": 0.03378736206310055, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.269)" + }, + "parent_node_id": "node_2071", + "improvement_over_parent": null + }, + "node_2073": { + "node_id": "node_2073", + "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n\nPerformance:\n Mass: 200.69 kg\n Factor of Safety: 1.28\n Max Deflection: 1.20e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.69400206757385, + "fos_buckling": 1.2752225694859156, + "fos_yielding": 4.837121847185192, + "deflection": 0.011950445049397152, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.005171)" + }, + "parent_node_id": "node_2072", + "improvement_over_parent": null + }, + "node_2074": { + "node_id": "node_2074", + "content": "MODIFICATION: Increase 6 thickness by 38%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0078)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n\nPerformance:\n Mass: 203.83 kg\n Factor of Safety: 1.28\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.8296642265699, + "fos_buckling": 1.2765931917665045, + "fos_yielding": 4.837118195656116, + "deflection": 0.011881533751751258, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.379)" + }, + "parent_node_id": "node_2073", + "improvement_over_parent": null + }, + "node_2075": { + "node_id": "node_2075", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2074", + "improvement_over_parent": null + }, + "node_2076": { + "node_id": "node_2076", + "content": "INITIAL DESIGN (Trace 295)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0027)]\n M4: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n\nPerformance:\n Mass: 129.97 kg\n Factor of Safety: 0.27\n Max Deflection: 3.74e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 129.97000610538055, + "fos_buckling": 0.2730917013828553, + "fos_yielding": 1.5791334618758206, + "deflection": 0.0374224695999413, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2077": { + "node_id": "node_2077", + "content": "MODIFICATION: Increase 3 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0033)]\n M4: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n\nPerformance:\n Mass: 131.38 kg\n Factor of Safety: 0.27\n Max Deflection: 3.72e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 131.3786627383691, + "fos_buckling": 0.273059232842772, + "fos_yielding": 1.578946658659818, + "deflection": 0.037152625321619046, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.253)" + }, + "parent_node_id": "node_2076", + "improvement_over_parent": null + }, + "node_2078": { + "node_id": "node_2078", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0033)]\n M4: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n M18: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n\nPerformance:\n Mass: 140.99 kg\n Factor of Safety: 0.18\n Max Deflection: 1.63e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 140.9923845857338, + "fos_buckling": 0.18013188578938225, + "fos_yielding": 3.974457957721473, + "deflection": 0.016318058534397443, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.004870)" + }, + "parent_node_id": "node_2077", + "improvement_over_parent": null + }, + "node_2079": { + "node_id": "node_2079", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n M4: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n Mass: 183.20 kg\n Factor of Safety: 0.22\n Max Deflection: 1.26e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.20432694879793, + "fos_buckling": 0.22469351125922687, + "fos_yielding": 5.16086009456275, + "deflection": 0.012600521644102969, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.328)" + }, + "parent_node_id": "node_2078", + "improvement_over_parent": null + }, + "node_2080": { + "node_id": "node_2080", + "content": "MODIFICATION: Increase 3 thickness by 55%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n Mass: 187.95 kg\n Factor of Safety: 0.22\n Max Deflection: 1.20e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 187.94674857566227, + "fos_buckling": 0.2246016668960449, + "fos_yielding": 5.16086009456275, + "deflection": 0.012007112959263742, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.550)" + }, + "parent_node_id": "node_2079", + "improvement_over_parent": null + }, + "node_2081": { + "node_id": "node_2081", + "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n Mass: 199.37 kg\n Factor of Safety: 1.15\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.3739487417019, + "fos_buckling": 1.1533835448611336, + "fos_yielding": 5.160860094562748, + "deflection": 0.011869190857792046, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.005728)" + }, + "parent_node_id": "node_2080", + "improvement_over_parent": null + }, + "node_2082": { + "node_id": "node_2082", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 204.68 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.6819942186964, + "fos_buckling": 1.53040088696208, + "fos_yielding": 4.836450495569606, + "deflection": 0.011227910844872404, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)" + }, + "parent_node_id": "node_2081", + "improvement_over_parent": null + }, + "node_2083": { + "node_id": "node_2083", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2082", + "improvement_over_parent": null + }, + "node_2084": { + "node_id": "node_2084", + "content": "INITIAL DESIGN (Trace 296)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0031)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0023)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0042)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0040)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0037)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0033)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0031)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0035)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0030)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0026)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0033)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0029)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0045)]\n\nPerformance:\n Mass: 110.46 kg\n Factor of Safety: 0.71\n Max Deflection: 2.19e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 110.45855282854322, + "fos_buckling": 0.7069332843161176, + "fos_yielding": 2.905669811671557, + "deflection": 0.02189884450653177, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2085": { + "node_id": "node_2085", + "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0031)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0023)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0042)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0040)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0037)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0033)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0031)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0035)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0030)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0026)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0033)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0029)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0045)]\n M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n\nPerformance:\n Mass: 118.77 kg\n Factor of Safety: 0.98\n Max Deflection: 1.99e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 118.76916657095234, + "fos_buckling": 0.977901298555257, + "fos_yielding": 2.9064639662133644, + "deflection": 0.019853643265605958, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.003639)" + }, + "parent_node_id": "node_2084", + "improvement_over_parent": null + }, + "node_2086": { + "node_id": "node_2086", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0026)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0043)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0030)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n\nPerformance:\n Mass: 134.69 kg\n Factor of Safety: 1.09\n Max Deflection: 1.75e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 134.68567777224, + "fos_buckling": 1.0947448096772012, + "fos_yielding": 3.2939951020522455, + "deflection": 0.01754226321767242, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.142)" + }, + "parent_node_id": "node_2085", + "improvement_over_parent": null + }, + "node_2087": { + "node_id": "node_2087", + "content": "MODIFICATION: Increase 16 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0026)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0043)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n\nPerformance:\n Mass: 136.02 kg\n Factor of Safety: 1.08\n Max Deflection: 1.74e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 136.01754658101237, + "fos_buckling": 1.0829989288216282, + "fos_yielding": 3.2968714049690826, + "deflection": 0.017350308913222263, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.230)" + }, + "parent_node_id": "node_2086", + "improvement_over_parent": null + }, + "node_2088": { + "node_id": "node_2088", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0030)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n\nPerformance:\n Mass: 154.70 kg\n Factor of Safety: 1.21\n Max Deflection: 1.53e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 154.7008810413008, + "fos_buckling": 1.2119515039437325, + "fos_yielding": 3.7473413318962194, + "deflection": 0.015290711124929239, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.147)" + }, + "parent_node_id": "node_2087", + "improvement_over_parent": null + }, + "node_2089": { + "node_id": "node_2089", + "content": "MODIFICATION: Increase 1 thickness by 59%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n\nPerformance:\n Mass: 157.97 kg\n Factor of Safety: 1.23\n Max Deflection: 1.44e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.96657345743543, + "fos_buckling": 1.233960634597588, + "fos_yielding": 3.737159029952655, + "deflection": 0.014449456200411747, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.590)" + }, + "parent_node_id": "node_2088", + "improvement_over_parent": null + }, + "node_2090": { + "node_id": "node_2090", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n\nPerformance:\n Mass: 175.06 kg\n Factor of Safety: 1.35\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.06282116973165, + "fos_buckling": 1.3459897831317489, + "fos_yielding": 4.139723027101199, + "deflection": 0.01307097867470584, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.117)" + }, + "parent_node_id": "node_2089", + "improvement_over_parent": null + }, + "node_2091": { + "node_id": "node_2091", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n Mass: 205.02 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 205.01964759648794, + "fos_buckling": 1.532314150265823, + "fos_yielding": 4.8442253483767, + "deflection": 0.011209901367319444, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.188)" + }, + "parent_node_id": "node_2090", + "improvement_over_parent": null + }, + "node_2092": { + "node_id": "node_2092", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2091", + "improvement_over_parent": null + }, + "node_2093": { + "node_id": "node_2093", + "content": "INITIAL DESIGN (Trace 297)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0042)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n\nPerformance:\n Mass: 146.37 kg\n Factor of Safety: 0.11\n Max Deflection: 1.45e+14 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 146.37239759707882, + "fos_buckling": 0.11424485570984373, + "fos_yielding": 0.9860844127543579, + "deflection": 144988055508744.12, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2094": { + "node_id": "node_2094", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0042)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n\nPerformance:\n Mass: 156.06 kg\n Factor of Safety: 0.16\n Max Deflection: 1.19e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 156.0567130362326, + "fos_buckling": 0.16336674687145614, + "fos_yielding": 3.9443376510174315, + "deflection": 11920515189058.12, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.004886)" + }, + "parent_node_id": "node_2093", + "improvement_over_parent": null + }, + "node_2095": { + "node_id": "node_2095", + "content": "MODIFICATION: Increase 3 thickness by 41%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n\nPerformance:\n Mass: 159.50 kg\n Factor of Safety: 0.51\n Max Deflection: 7.83e+12 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.49705883013334, + "fos_buckling": 0.5140676432669279, + "fos_yielding": 4.586059968580259, + "deflection": 7826994609106.281, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.412)" + }, + "parent_node_id": "node_2094", + "improvement_over_parent": null + }, + "node_2096": { + "node_id": "node_2096", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n\nPerformance:\n Mass: 181.43 kg\n Factor of Safety: 0.24\n Max Deflection: 2.61e+13 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.4305624230152, + "fos_buckling": 0.24141578789580023, + "fos_yielding": 1.9721688255087158, + "deflection": 26142393637435.156, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.151)" + }, + "parent_node_id": "node_2095", + "improvement_over_parent": null + }, + "node_2097": { + "node_id": "node_2097", + "content": "MODIFICATION: Increase 4 thickness by 34%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n\nPerformance:\n Mass: 182.68 kg\n Factor of Safety: 0.34\n Max Deflection: 2.21e+13 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.68315582273854, + "fos_buckling": 0.3379821030541203, + "fos_yielding": 1.9721688255087153, + "deflection": 22147087229999.14, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.339)" + }, + "parent_node_id": "node_2096", + "improvement_over_parent": null + }, + "node_2098": { + "node_id": "node_2098", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n Mass: 195.17 kg\n Factor of Safety: 0.43\n Max Deflection: 1.27e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.1709628997553, + "fos_buckling": 0.42580988346630394, + "fos_yielding": 4.902383638719405, + "deflection": 0.012665132836607642, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.006468)" + }, + "parent_node_id": "node_2097", + "improvement_over_parent": null + }, + "node_2099": { + "node_id": "node_2099", + "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n Mass: 204.69 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.68662071675564, + "fos_buckling": 1.5304765108487481, + "fos_yielding": 4.836606487567811, + "deflection": 0.011227527652334248, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.005227)" + }, + "parent_node_id": "node_2098", + "improvement_over_parent": null + }, + "node_2100": { + "node_id": "node_2100", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2099", + "improvement_over_parent": null + }, + "node_2101": { + "node_id": "node_2101", + "content": "INITIAL DESIGN (Trace 298)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0043)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0038)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0033)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0036)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0028)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0026)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0034)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0029)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0046)]\n\nPerformance:\n Mass: 108.72 kg\n Factor of Safety: 0.18\n Max Deflection: 6.78e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 108.71857251430558, + "fos_buckling": 0.1839595660417188, + "fos_yielding": 0.5410942722948487, + "deflection": 0.06784344412064057, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2102": { + "node_id": "node_2102", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0052)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0049)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0046)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0040)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0043)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0055)]\n\nPerformance:\n Mass: 129.02 kg\n Factor of Safety: 0.21\n Max Deflection: 5.73e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 129.01728600743903, + "fos_buckling": 0.21342863782972954, + "fos_yielding": 0.6406707140694704, + "deflection": 0.057307067825850974, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.199)" + }, + "parent_node_id": "node_2101", + "improvement_over_parent": null + }, + "node_2103": { + "node_id": "node_2103", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0052)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0049)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0046)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0040)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0043)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0055)]\n M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n\nPerformance:\n Mass: 137.05 kg\n Factor of Safety: 0.21\n Max Deflection: 4.60e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 137.05017818610483, + "fos_buckling": 0.21299491743431678, + "fos_yielding": 1.0167405682661987, + "deflection": 0.046026999545383036, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.003996)" + }, + "parent_node_id": "node_2102", + "improvement_over_parent": null + }, + "node_2104": { + "node_id": "node_2104", + "content": "MODIFICATION: Increase 14 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0052)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0049)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0046)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0040)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0043)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0055)]\n M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n\nPerformance:\n Mass: 138.13 kg\n Factor of Safety: 0.21\n Max Deflection: 4.60e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 138.12717626958445, + "fos_buckling": 0.21293690099454296, + "fos_yielding": 1.0194530926851537, + "deflection": 0.0460306502510307, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.196)" + }, + "parent_node_id": "node_2103", + "improvement_over_parent": null + }, + "node_2105": { + "node_id": "node_2105", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n\nPerformance:\n Mass: 159.88 kg\n Factor of Safety: 0.24\n Max Deflection: 3.99e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.8807196712985, + "fos_buckling": 0.240800386511983, + "fos_yielding": 1.176973239775138, + "deflection": 0.0398781102364818, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.170)" + }, + "parent_node_id": "node_2104", + "improvement_over_parent": null + }, + "node_2106": { + "node_id": "node_2106", + "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n\nPerformance:\n Mass: 172.70 kg\n Factor of Safety: 1.33\n Max Deflection: 1.32e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.69555039287775, + "fos_buckling": 1.3306400201712503, + "fos_yielding": 4.083774386461394, + "deflection": 0.013245071325584506, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.005928)" + }, + "parent_node_id": "node_2105", + "improvement_over_parent": null + }, + "node_2107": { + "node_id": "node_2107", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 204.62 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.6154329841334, + "fos_buckling": 1.5297910903865939, + "fos_yielding": 4.834460826554625, + "deflection": 0.011230970690209343, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.203)" + }, + "parent_node_id": "node_2106", + "improvement_over_parent": null + }, + "node_2108": { + "node_id": "node_2108", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2107", + "improvement_over_parent": null + }, + "node_2109": { + "node_id": "node_2109", + "content": "INITIAL DESIGN (Trace 299)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0046)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 190.98 kg\n Factor of Safety: 1.09\n Max Deflection: 1.30e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.97683079257212, + "fos_buckling": 1.0937272144216272, + "fos_yielding": 4.826924609080602, + "deflection": 0.012991896290928166, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2110": { + "node_id": "node_2110", + "content": "MODIFICATION: Increase 11 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0046)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 191.93 kg\n Factor of Safety: 1.09\n Max Deflection: 1.30e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.92829223149243, + "fos_buckling": 1.0937272144216272, + "fos_yielding": 4.826924609080602, + "deflection": 0.012991896290928166, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.247)" + }, + "parent_node_id": "node_2109", + "improvement_over_parent": null + }, + "node_2111": { + "node_id": "node_2111", + "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0046)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n Mass: 201.39 kg\n Factor of Safety: 1.26\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.39260679354726, + "fos_buckling": 1.2560577968156699, + "fos_yielding": 4.828310377758075, + "deflection": 0.01183886403272182, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)" + }, + "parent_node_id": "node_2110", + "improvement_over_parent": null + }, + "node_2112": { + "node_id": "node_2112", + "content": "MODIFICATION: Increase 5 thickness by 40%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n Mass: 204.71 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.71238343163688, + "fos_buckling": 1.530488532494501, + "fos_yielding": 4.836803894919463, + "deflection": 0.011225521271012947, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.397)" + }, + "parent_node_id": "node_2111", + "improvement_over_parent": null + }, + "node_2113": { + "node_id": "node_2113", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2112", + "improvement_over_parent": null + }, + "node_2114": { + "node_id": "node_2114", + "content": "INITIAL DESIGN (Trace 300)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0030)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0041)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0038)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0023)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0036)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0031)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0032)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0009)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0023)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0030)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0033)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0026)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0029)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0031)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0020)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0020)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0043)]\n\nPerformance:\n Mass: 114.63 kg\n Factor of Safety: 0.68\n Max Deflection: 1.85e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 114.62965188240966, + "fos_buckling": 0.6831515100861077, + "fos_yielding": 2.8017294750706125, + "deflection": 0.018512189792278682, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2115": { + "node_id": "node_2115", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0025)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0026)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0054)]\n\nPerformance:\n Mass: 141.38 kg\n Factor of Safety: 0.83\n Max Deflection: 1.51e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 141.3757165823177, + "fos_buckling": 0.834873401418713, + "fos_yielding": 3.451980887076229, + "deflection": 0.015082047239685112, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.248)" + }, + "parent_node_id": "node_2114", + "improvement_over_parent": null + }, + "node_2116": { + "node_id": "node_2116", + "content": "MODIFICATION: Increase 18 thickness by 35%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0025)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0054)]\n\nPerformance:\n Mass: 142.89 kg\n Factor of Safety: 0.89\n Max Deflection: 1.52e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 142.88736568374162, + "fos_buckling": 0.8855496309832304, + "fos_yielding": 3.4509227661165145, + "deflection": 0.015190040410569608, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(18, thickness, 1.348)" + }, + "parent_node_id": "node_2115", + "improvement_over_parent": null + }, + "node_2117": { + "node_id": "node_2117", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0031)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n\nPerformance:\n Mass: 176.95 kg\n Factor of Safety: 1.08\n Max Deflection: 1.23e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.95009126053762, + "fos_buckling": 1.0827451605976939, + "fos_yielding": 4.26870345962678, + "deflection": 0.012335468611329798, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.258)" + }, + "parent_node_id": "node_2116", + "improvement_over_parent": null + }, + "node_2118": { + "node_id": "node_2118", + "content": "MODIFICATION: Increase 10 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0031)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n\nPerformance:\n Mass: 177.04 kg\n Factor of Safety: 1.08\n Max Deflection: 1.23e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.03923828165378, + "fos_buckling": 1.0827559710557422, + "fos_yielding": 4.268691147521895, + "deflection": 0.012335730872779293, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.178)" + }, + "parent_node_id": "node_2117", + "improvement_over_parent": null + }, + "node_2119": { + "node_id": "node_2119", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 200.76 kg\n Factor of Safety: 1.22\n Max Deflection: 1.09e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.75788012802485, + "fos_buckling": 1.2166781600746055, + "fos_yielding": 4.836718712938903, + "deflection": 0.010922141588084758, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.147)" + }, + "parent_node_id": "node_2118", + "improvement_over_parent": null + }, + "node_2120": { + "node_id": "node_2120", + "content": "MODIFICATION: Increase 17 thickness by 59%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.78 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.77789614046594, + "fos_buckling": 1.530904787801184, + "fos_yielding": 4.838780606028643, + "deflection": 0.011221967624169623, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.595)" + }, + "parent_node_id": "node_2119", + "improvement_over_parent": null + }, + "node_2121": { + "node_id": "node_2121", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2120", + "improvement_over_parent": null + }, + "node_2122": { + "node_id": "node_2122", + "content": "INITIAL DESIGN (Trace 301)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n\nPerformance:\n Mass: 123.45 kg\n Factor of Safety: 0.24\n Max Deflection: 4.27e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 123.44929529289958, + "fos_buckling": 0.24362491063759503, + "fos_yielding": 1.471082351726617, + "deflection": 0.04271589168758251, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2123": { + "node_id": "node_2123", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nPerformance:\n Mass: 157.37 kg\n Factor of Safety: 0.30\n Max Deflection: 3.37e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.36837230616584, + "fos_buckling": 0.299124025440969, + "fos_yielding": 1.8644170138703375, + "deflection": 0.03369376951457343, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.297)" + }, + "parent_node_id": "node_2122", + "improvement_over_parent": null + }, + "node_2124": { + "node_id": "node_2124", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n\nPerformance:\n Mass: 168.12 kg\n Factor of Safety: 0.97\n Max Deflection: 1.43e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 168.11726695600447, + "fos_buckling": 0.9674043437182791, + "fos_yielding": 4.166908471663646, + "deflection": 0.01432884927292927, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.005492)" + }, + "parent_node_id": "node_2123", + "improvement_over_parent": null + }, + "node_2125": { + "node_id": "node_2125", + "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n\nPerformance:\n Mass: 176.26 kg\n Factor of Safety: 1.35\n Max Deflection: 1.30e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.26322088472125, + "fos_buckling": 1.353696793997602, + "fos_yielding": 4.1682079193675765, + "deflection": 0.012984602253271117, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.004781)" + }, + "parent_node_id": "node_2124", + "improvement_over_parent": null + }, + "node_2126": { + "node_id": "node_2126", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n Mass: 204.82 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.8224816537988, + "fos_buckling": 1.5311229643790158, + "fos_yielding": 4.839858515113217, + "deflection": 0.011220681401577583, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.178)" + }, + "parent_node_id": "node_2125", + "improvement_over_parent": null + }, + "node_2127": { + "node_id": "node_2127", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2126", + "improvement_over_parent": null + }, + "node_2128": { + "node_id": "node_2128", + "content": "INITIAL DESIGN (Trace 302)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0049)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0046)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0040)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0052)]\n\nPerformance:\n Mass: 122.70 kg\n Factor of Safety: 0.17\n Max Deflection: 6.22e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 122.7023700176137, + "fos_buckling": 0.16677799306892663, + "fos_yielding": 1.5076090806646263, + "deflection": 0.06224808439190327, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2129": { + "node_id": "node_2129", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n\nPerformance:\n Mass: 147.97 kg\n Factor of Safety: 0.20\n Max Deflection: 5.18e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 147.96632568541858, + "fos_buckling": 0.19524848808933423, + "fos_yielding": 1.8100344987495598, + "deflection": 0.05184779224532932, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.222)" + }, + "parent_node_id": "node_2128", + "improvement_over_parent": null + }, + "node_2130": { + "node_id": "node_2130", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 177.20 kg\n Factor of Safety: 0.23\n Max Deflection: 4.35e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.20259139540474, + "fos_buckling": 0.22578027674468681, + "fos_yielding": 2.1567115001469785, + "deflection": 0.043513879077407475, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.217)" + }, + "parent_node_id": "node_2129", + "improvement_over_parent": null + }, + "node_2131": { + "node_id": "node_2131", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n Mass: 189.69 kg\n Factor of Safety: 1.09\n Max Deflection: 1.25e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.6903984724215, + "fos_buckling": 1.0939037149696558, + "fos_yielding": 4.753306034623935, + "deflection": 0.01247286016119785, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.006468)" + }, + "parent_node_id": "node_2130", + "improvement_over_parent": null + }, + "node_2132": { + "node_id": "node_2132", + "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n\nPerformance:\n Mass: 201.43 kg\n Factor of Safety: 1.32\n Max Deflection: 1.13e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.43095968466443, + "fos_buckling": 1.3209512497949694, + "fos_yielding": 4.759416631569548, + "deflection": 0.011251060278695092, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.005259)" + }, + "parent_node_id": "node_2131", + "improvement_over_parent": null + }, + "node_2133": { + "node_id": "node_2133", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M20: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n\nPerformance:\n Mass: 202.56 kg\n Factor of Safety: 1.50\n Max Deflection: 1.13e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 202.55760750495105, + "fos_buckling": 1.5005704509434135, + "fos_yielding": 4.836800612021416, + "deflection": 0.011283295132227145, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002506)" + }, + "parent_node_id": "node_2132", + "improvement_over_parent": null + }, + "node_2134": { + "node_id": "node_2134", + "content": "MODIFICATION: Increase 19 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.69555555928684, + "fos_buckling": 1.5303221812542116, + "fos_yielding": 4.836813930898086, + "deflection": 0.01122691108626593, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(19, thickness, 1.200)" + }, + "parent_node_id": "node_2133", + "improvement_over_parent": null + }, + "node_2135": { + "node_id": "node_2135", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2134", + "improvement_over_parent": null + }, + "node_2136": { + "node_id": "node_2136", + "content": "INITIAL DESIGN (Trace 303)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n Mass: 153.72 kg\n Factor of Safety: 0.84\n Max Deflection: 1.40e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 153.71526307152288, + "fos_buckling": 0.8445724068985632, + "fos_yielding": 4.15935701766334, + "deflection": 0.013985827778658115, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2137": { + "node_id": "node_2137", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 190.68 kg\n Factor of Safety: 1.01\n Max Deflection: 1.13e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.6779844456036, + "fos_buckling": 1.0148078142513628, + "fos_yielding": 5.158413699675046, + "deflection": 0.01134403447037164, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.264)" + }, + "parent_node_id": "node_2136", + "improvement_over_parent": null + }, + "node_2138": { + "node_id": "node_2138", + "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n Mass: 199.29 kg\n Factor of Safety: 1.15\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.2884734786775, + "fos_buckling": 1.1529575270041448, + "fos_yielding": 5.158413699675048, + "deflection": 0.011874367158454958, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)" + }, + "parent_node_id": "node_2137", + "improvement_over_parent": null + }, + "node_2139": { + "node_id": "node_2139", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 204.60 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.596518955672, + "fos_buckling": 1.5297211723787543, + "fos_yielding": 4.83413118528889, + "deflection": 0.01123272936308773, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)" + }, + "parent_node_id": "node_2138", + "improvement_over_parent": null + }, + "node_2140": { + "node_id": "node_2140", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2139", + "improvement_over_parent": null + }, + "node_2141": { + "node_id": "node_2141", + "content": "INITIAL DESIGN (Trace 304)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0027)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0032)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0037)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0035)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0021)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0032)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0036)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0023)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0021)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0027)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0030)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0024)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0026)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0028)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0029)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0025)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0032)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0039)]\n\nPerformance:\n Mass: 101.90 kg\n Factor of Safety: 0.63\n Max Deflection: 2.34e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 101.90498427633271, + "fos_buckling": 0.628157565714091, + "fos_yielding": 2.0751106065210196, + "deflection": 0.023406045858804073, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2142": { + "node_id": "node_2142", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0044)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0039)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0027)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0036)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0028)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0034)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0046)]\n\nPerformance:\n Mass: 120.27 kg\n Factor of Safety: 0.73\n Max Deflection: 1.99e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 120.26553707760107, + "fos_buckling": 0.7284940721725682, + "fos_yielding": 2.4516776389208617, + "deflection": 0.019886284262944823, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.190)" + }, + "parent_node_id": "node_2141", + "improvement_over_parent": null + }, + "node_2143": { + "node_id": "node_2143", + "content": "MODIFICATION: Increase 7 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0044)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0039)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0036)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0028)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0034)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0046)]\n\nPerformance:\n Mass: 120.95 kg\n Factor of Safety: 0.73\n Max Deflection: 1.98e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 120.94574274988415, + "fos_buckling": 0.7284940721725677, + "fos_yielding": 3.001782806999603, + "deflection": 0.01977967716068913, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.245)" + }, + "parent_node_id": "node_2142", + "improvement_over_parent": null + }, + "node_2144": { + "node_id": "node_2144", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0052)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0049)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0046)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0043)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0055)]\n\nPerformance:\n Mass: 143.17 kg\n Factor of Safety: 0.84\n Max Deflection: 1.68e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 143.1651437219387, + "fos_buckling": 0.8441414969214828, + "fos_yielding": 3.5510538759457857, + "deflection": 0.01676440019930979, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.196)" + }, + "parent_node_id": "node_2143", + "improvement_over_parent": null + }, + "node_2145": { + "node_id": "node_2145", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n\nPerformance:\n Mass: 166.49 kg\n Factor of Safety: 0.96\n Max Deflection: 1.45e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.48547138160708, + "fos_buckling": 0.9595345326435866, + "fos_yielding": 4.126809716479702, + "deflection": 0.014465374861801059, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.176)" + }, + "parent_node_id": "node_2144", + "improvement_over_parent": null + }, + "node_2146": { + "node_id": "node_2146", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 195.13 kg\n Factor of Safety: 1.09\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.13321971591358, + "fos_buckling": 1.092952824161989, + "fos_yielding": 4.833072239059412, + "deflection": 0.012393298834563419, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.189)" + }, + "parent_node_id": "node_2145", + "improvement_over_parent": null + }, + "node_2147": { + "node_id": "node_2147", + "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n Mass: 204.60 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.5975342779684, + "fos_buckling": 1.5298197222451677, + "fos_yielding": 4.834538107252772, + "deflection": 0.011232443990553181, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)" + }, + "parent_node_id": "node_2146", + "improvement_over_parent": null + }, + "node_2148": { + "node_id": "node_2148", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2147", + "improvement_over_parent": null + }, + "node_2149": { + "node_id": "node_2149", + "content": "INITIAL DESIGN (Trace 305)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0035)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0031)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n\nPerformance:\n Mass: 160.31 kg\n Factor of Safety: 0.95\n Max Deflection: 1.53e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 160.30624705212227, + "fos_buckling": 0.9455360175384425, + "fos_yielding": 3.4113195697557908, + "deflection": 0.015304065671061014, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2150": { + "node_id": "node_2150", + "content": "MODIFICATION: Increase 12 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0035)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n\nPerformance:\n Mass: 161.36 kg\n Factor of Safety: 0.95\n Max Deflection: 1.52e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 161.3622057709449, + "fos_buckling": 0.9470464066101104, + "fos_yielding": 3.925393126029483, + "deflection": 0.015197666521169039, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.362)" + }, + "parent_node_id": "node_2149", + "improvement_over_parent": null + }, + "node_2151": { + "node_id": "node_2151", + "content": "MODIFICATION: Increase 6 thickness by 61%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n\nPerformance:\n Mass: 165.79 kg\n Factor of Safety: 1.29\n Max Deflection: 1.38e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.79371137582933, + "fos_buckling": 1.2856982610730319, + "fos_yielding": 3.921603903750394, + "deflection": 0.01378286841326565, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.605)" + }, + "parent_node_id": "node_2150", + "improvement_over_parent": null + }, + "node_2152": { + "node_id": "node_2152", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.75 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.74996229205848, + "fos_buckling": 1.5306130867411392, + "fos_yielding": 4.838001758811311, + "deflection": 0.011224068168170094, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.258)" + }, + "parent_node_id": "node_2151", + "improvement_over_parent": null + }, + "node_2153": { + "node_id": "node_2153", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2152", + "improvement_over_parent": null + }, + "node_2154": { + "node_id": "node_2154", + "content": "INITIAL DESIGN (Trace 306)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 194.51 kg\n Factor of Safety: 0.84\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.51286612054326, + "fos_buckling": 0.8419043057461603, + "fos_yielding": 4.826179323218089, + "deflection": 0.013363726260273774, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2155": { + "node_id": "node_2155", + "content": "MODIFICATION: Increase 0 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 195.96 kg\n Factor of Safety: 0.84\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.9611508559857, + "fos_buckling": 0.8415973735054332, + "fos_yielding": 4.826920252203271, + "deflection": 0.013315766592684457, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.224)" + }, + "parent_node_id": "node_2154", + "improvement_over_parent": null + }, + "node_2156": { + "node_id": "node_2156", + "content": "MODIFICATION: Increase 13 thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 197.50 kg\n Factor of Safety: 0.84\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.5023642082855, + "fos_buckling": 0.8419366383882253, + "fos_yielding": 4.826101317481332, + "deflection": 0.013296201068155704, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.271)" + }, + "parent_node_id": "node_2155", + "improvement_over_parent": null + }, + "node_2157": { + "node_id": "node_2157", + "content": "MODIFICATION: Increase 3 thickness by 44%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 201.59 kg\n Factor of Safety: 0.90\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.58722665229422, + "fos_buckling": 0.8987652554813126, + "fos_yielding": 4.853113566043189, + "deflection": 0.012403542149052739, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.443)" + }, + "parent_node_id": "node_2156", + "improvement_over_parent": null + }, + "node_2158": { + "node_id": "node_2158", + "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70260455201463, + "fos_buckling": 1.530460508828547, + "fos_yielding": 4.836751010962826, + "deflection": 0.011226847095870065, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)" + }, + "parent_node_id": "node_2157", + "improvement_over_parent": null + }, + "node_2159": { + "node_id": "node_2159", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2158", + "improvement_over_parent": null + }, + "node_2160": { + "node_id": "node_2160", + "content": "INITIAL DESIGN (Trace 307)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0047)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0039)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n Mass: 165.46 kg\n Factor of Safety: 0.41\n Max Deflection: 1.66e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.45515223966694, + "fos_buckling": 0.4103928882228087, + "fos_yielding": 3.6986157266794923, + "deflection": 0.01663940878562302, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2161": { + "node_id": "node_2161", + "content": "MODIFICATION: Increase 5 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0039)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n Mass: 167.40 kg\n Factor of Safety: 0.41\n Max Deflection: 1.63e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 167.40049897184846, + "fos_buckling": 0.41006172202977187, + "fos_yielding": 3.698025977479909, + "deflection": 0.016316822779235997, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.229)" + }, + "parent_node_id": "node_2160", + "improvement_over_parent": null + }, + "node_2162": { + "node_id": "node_2162", + "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0039)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n\nPerformance:\n Mass: 178.60 kg\n Factor of Safety: 1.29\n Max Deflection: 1.29e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.59990791864502, + "fos_buckling": 1.2858985079719116, + "fos_yielding": 4.195967570775252, + "deflection": 0.012862141878078387, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.005303)" + }, + "parent_node_id": "node_2161", + "improvement_over_parent": null + }, + "node_2163": { + "node_id": "node_2163", + "content": "MODIFICATION: Increase 12 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n\nPerformance:\n Mass: 179.35 kg\n Factor of Safety: 1.34\n Max Deflection: 1.28e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.3464789947224, + "fos_buckling": 1.3353987801496163, + "fos_yielding": 4.310250619639123, + "deflection": 0.012808123242039924, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.209)" + }, + "parent_node_id": "node_2162", + "improvement_over_parent": null + }, + "node_2164": { + "node_id": "node_2164", + "content": "MODIFICATION: Increase 9 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n\nPerformance:\n Mass: 179.52 kg\n Factor of Safety: 1.32\n Max Deflection: 1.28e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.52187418399163, + "fos_buckling": 1.3220438507738659, + "fos_yielding": 4.315044928787278, + "deflection": 0.012808928468525053, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.229)" + }, + "parent_node_id": "node_2163", + "improvement_over_parent": null + }, + "node_2165": { + "node_id": "node_2165", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 200.95 kg\n Factor of Safety: 1.45\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.9529871669009, + "fos_buckling": 1.4506221590741815, + "fos_yielding": 4.82680031683072, + "deflection": 0.011476930111783386, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.131)" + }, + "parent_node_id": "node_2164", + "improvement_over_parent": null + }, + "node_2166": { + "node_id": "node_2166", + "content": "MODIFICATION: Increase 16 thickness by 55%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0089)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 206.38 kg\n Factor of Safety: 1.48\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.3786951657187, + "fos_buckling": 1.4812739073564982, + "fos_yielding": 4.827804510952384, + "deflection": 0.011701082897699009, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.553)" + }, + "parent_node_id": "node_2165", + "improvement_over_parent": null + }, + "node_2167": { + "node_id": "node_2167", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2166", + "improvement_over_parent": null + }, + "node_2168": { + "node_id": "node_2168", + "content": "INITIAL DESIGN (Trace 308)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0029)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 184.31 kg\n Factor of Safety: 0.93\n Max Deflection: 1.41e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.30541399239078, + "fos_buckling": 0.9256318725603596, + "fos_yielding": 4.8115370529309, + "deflection": 0.014087743559877594, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2169": { + "node_id": "node_2169", + "content": "MODIFICATION: Increase 5 thickness by 63%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 187.81 kg\n Factor of Safety: 1.09\n Max Deflection: 1.29e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 187.8067550624043, + "fos_buckling": 1.0941089166579934, + "fos_yielding": 4.828081773800978, + "deflection": 0.012916207611509769, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.626)" + }, + "parent_node_id": "node_2168", + "improvement_over_parent": null + }, + "node_2170": { + "node_id": "node_2170", + "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n Mass: 201.69 kg\n Factor of Safety: 1.29\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.6916619380259, + "fos_buckling": 1.286294369916152, + "fos_yielding": 4.829309009000937, + "deflection": 0.011767556892327792, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)" + }, + "parent_node_id": "node_2169", + "improvement_over_parent": null + }, + "node_2171": { + "node_id": "node_2171", + "content": "MODIFICATION: Increase 5 thickness by 35%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n Mass: 204.71 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.7141349090642, + "fos_buckling": 1.5303994792968327, + "fos_yielding": 4.836813778172566, + "deflection": 0.011224949566712562, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.350)" + }, + "parent_node_id": "node_2170", + "improvement_over_parent": null + }, + "node_2172": { + "node_id": "node_2172", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2171", + "improvement_over_parent": null + }, + "node_2173": { + "node_id": "node_2173", + "content": "INITIAL DESIGN (Trace 309)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n\nPerformance:\n Mass: 135.94 kg\n Factor of Safety: 0.38\n Max Deflection: 2.49e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 135.94448244934796, + "fos_buckling": 0.3757169154716021, + "fos_yielding": 2.7429933627484226, + "deflection": 0.02490361824813946, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2174": { + "node_id": "node_2174", + "content": "MODIFICATION: Increase 14 thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n\nPerformance:\n Mass: 137.36 kg\n Factor of Safety: 0.38\n Max Deflection: 2.49e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 137.35665673353571, + "fos_buckling": 0.37549597587110395, + "fos_yielding": 2.74281631389468, + "deflection": 0.024857302231240205, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.244)" + }, + "parent_node_id": "node_2173", + "improvement_over_parent": null + }, + "node_2175": { + "node_id": "node_2175", + "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n\nPerformance:\n Mass: 147.41 kg\n Factor of Safety: 0.41\n Max Deflection: 2.30e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 147.40997346178457, + "fos_buckling": 0.40629818065882195, + "fos_yielding": 2.7423962664148864, + "deflection": 0.022959659017642443, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.004719)" + }, + "parent_node_id": "node_2174", + "improvement_over_parent": null + }, + "node_2176": { + "node_id": "node_2176", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0054)]\n\nPerformance:\n Mass: 165.59 kg\n Factor of Safety: 0.45\n Max Deflection: 2.05e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.59178277355335, + "fos_buckling": 0.4478482485535386, + "fos_yielding": 3.0775154913502165, + "deflection": 0.0204740425962543, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.134)" + }, + "parent_node_id": "node_2175", + "improvement_over_parent": null + }, + "node_2177": { + "node_id": "node_2177", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 183.82 kg\n Factor of Safety: 0.49\n Max Deflection: 1.85e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.8249116567627, + "fos_buckling": 0.4876570695385829, + "fos_yielding": 3.4128968305063965, + "deflection": 0.018475190261540143, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.121)" + }, + "parent_node_id": "node_2176", + "improvement_over_parent": null + }, + "node_2178": { + "node_id": "node_2178", + "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.67 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.67312314574122, + "fos_buckling": 1.5304111978782158, + "fos_yielding": 4.836047102374836, + "deflection": 0.011228312325313652, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.007737)" + }, + "parent_node_id": "node_2177", + "improvement_over_parent": null + }, + "node_2179": { + "node_id": "node_2179", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2178", + "improvement_over_parent": null + }, + "node_2180": { + "node_id": "node_2180", + "content": "INITIAL DESIGN (Trace 310)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n Mass: 165.90 kg\n Factor of Safety: 1.00\n Max Deflection: 1.42e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.89776003338952, + "fos_buckling": 0.9961817768289818, + "fos_yielding": 4.295010063820282, + "deflection": 0.014189610607292538, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2181": { + "node_id": "node_2181", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n\nPerformance:\n Mass: 169.33 kg\n Factor of Safety: 1.24\n Max Deflection: 1.35e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.33377213479744, + "fos_buckling": 1.2358368534905537, + "fos_yielding": 4.04386548184957, + "deflection": 0.013472592692472252, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.002640)" + }, + "parent_node_id": "node_2180", + "improvement_over_parent": null + }, + "node_2182": { + "node_id": "node_2182", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n\nPerformance:\n Mass: 203.43 kg\n Factor of Safety: 1.44\n Max Deflection: 1.13e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.42852705978663, + "fos_buckling": 1.4395428837309254, + "fos_yielding": 4.853164381389329, + "deflection": 0.0112710250265725, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.221)" + }, + "parent_node_id": "node_2181", + "improvement_over_parent": null + }, + "node_2183": { + "node_id": "node_2183", + "content": "MODIFICATION: Increase 4 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0084)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n\nPerformance:\n Mass: 206.81 kg\n Factor of Safety: 1.46\n Max Deflection: 1.09e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.8052194174391, + "fos_buckling": 1.4644073115381464, + "fos_yielding": 4.85801905726002, + "deflection": 0.010888613220179534, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.307)" + }, + "parent_node_id": "node_2182", + "improvement_over_parent": null + }, + "node_2184": { + "node_id": "node_2184", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2183", + "improvement_over_parent": null + }, + "node_2185": { + "node_id": "node_2185", + "content": "INITIAL DESIGN (Trace 311)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (17 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nPerformance:\n Mass: 135.65 kg\n Factor of Safety: 0.04\n Max Deflection: 1.26e+14 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 135.65027508054226, + "fos_buckling": 0.04093419463354404, + "fos_yielding": 0.49304220637717894, + "deflection": 126355259521299.92, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2186": { + "node_id": "node_2186", + "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n\nPerformance:\n Mass: 145.55 kg\n Factor of Safety: 1.03\n Max Deflection: 8.57e+12 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 145.5503660278306, + "fos_buckling": 1.0304640505991431, + "fos_yielding": 4.187026812046586, + "deflection": 8565841897792.415, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004898)" + }, + "parent_node_id": "node_2185", + "improvement_over_parent": null + }, + "node_2187": { + "node_id": "node_2187", + "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M18: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n\nPerformance:\n Mass: 153.79 kg\n Factor of Safety: 0.19\n Max Deflection: 3.71e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 153.79335449691428, + "fos_buckling": 0.18742160117594256, + "fos_yielding": 0.9860844127543579, + "deflection": 37136797630767.06, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.004469)" + }, + "parent_node_id": "node_2186", + "improvement_over_parent": null + }, + "node_2188": { + "node_id": "node_2188", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n Mass: 177.63 kg\n Factor of Safety: 0.12\n Max Deflection: 4.02e+13 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.62922703009912, + "fos_buckling": 0.12429244007369693, + "fos_yielding": 0.9860844127543579, + "deflection": 40176487693704.12, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.170)" + }, + "parent_node_id": "node_2187", + "improvement_over_parent": null + }, + "node_2189": { + "node_id": "node_2189", + "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n Mass: 186.24 kg\n Factor of Safety: 0.28\n Max Deflection: 3.39e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 186.239716063173, + "fos_buckling": 0.2764107557011572, + "fos_yielding": 1.3910960022442709, + "deflection": 0.033923441887756194, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)" + }, + "parent_node_id": "node_2188", + "improvement_over_parent": null + }, + "node_2190": { + "node_id": "node_2190", + "content": "MODIFICATION: Increase 18 thickness by 35%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0070)]\n M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n Mass: 189.15 kg\n Factor of Safety: 0.28\n Max Deflection: 3.39e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.14608963877345, + "fos_buckling": 0.27620927002879103, + "fos_yielding": 1.3962449504032002, + "deflection": 0.03393508696059992, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(18, thickness, 1.348)" + }, + "parent_node_id": "node_2189", + "improvement_over_parent": null + }, + "node_2191": { + "node_id": "node_2191", + "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0070)]\n M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 204.33 kg\n Factor of Safety: 1.48\n Max Deflection: 1.13e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.33064365367485, + "fos_buckling": 1.4809074941454552, + "fos_yielding": 4.833873594944731, + "deflection": 0.011279037098669899, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)" + }, + "parent_node_id": "node_2190", + "improvement_over_parent": null + }, + "node_2192": { + "node_id": "node_2192", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2191", + "improvement_over_parent": null + }, + "node_2193": { + "node_id": "node_2193", + "content": "INITIAL DESIGN (Trace 312)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0053)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0037)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0024)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0039)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0043)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0056)]\n\nPerformance:\n Mass: 128.25 kg\n Factor of Safety: 0.26\n Max Deflection: 3.61e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 128.24725151438656, + "fos_buckling": 0.26353228401723455, + "fos_yielding": 1.9012196013241682, + "deflection": 0.036148168517382666, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2194": { + "node_id": "node_2194", + "content": "MODIFICATION: Increase 3 thickness by 35%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0053)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0050)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0024)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0039)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0043)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0056)]\n\nPerformance:\n Mass: 130.84 kg\n Factor of Safety: 0.26\n Max Deflection: 3.58e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 130.84345879456808, + "fos_buckling": 0.2634745139798307, + "fos_yielding": 1.900810388978907, + "deflection": 0.03581354246973422, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.351)" + }, + "parent_node_id": "node_2193", + "improvement_over_parent": null + }, + "node_2195": { + "node_id": "node_2195", + "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0053)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0050)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0024)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0039)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0043)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0056)]\n M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n\nPerformance:\n Mass: 139.28 kg\n Factor of Safety: 0.26\n Max Deflection: 3.80e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 139.28208105122613, + "fos_buckling": 0.2629125175914646, + "fos_yielding": 1.5518595553576187, + "deflection": 0.03797828826190912, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004125)" + }, + "parent_node_id": "node_2194", + "improvement_over_parent": null + }, + "node_2196": { + "node_id": "node_2196", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0053)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0050)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0024)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0039)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0043)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0056)]\n M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0047)]\n\nPerformance:\n Mass: 148.50 kg\n Factor of Safety: 0.98\n Max Deflection: 1.53e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 148.5040971803671, + "fos_buckling": 0.9791384516107566, + "fos_yielding": 3.577128807649693, + "deflection": 0.015274818449227187, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.004658)" + }, + "parent_node_id": "node_2195", + "improvement_over_parent": null + }, + "node_2197": { + "node_id": "node_2197", + "content": "MODIFICATION: Increase 7 thickness by 66%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0053)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0050)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0024)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0068)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0039)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0043)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0056)]\n M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0047)]\n\nPerformance:\n Mass: 151.03 kg\n Factor of Safety: 0.98\n Max Deflection: 1.51e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 151.03492305813072, + "fos_buckling": 0.9793142981875589, + "fos_yielding": 4.232080981471883, + "deflection": 0.015130021451901942, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.658)" + }, + "parent_node_id": "node_2196", + "improvement_over_parent": null + }, + "node_2198": { + "node_id": "node_2198", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0029)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0080)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n\nPerformance:\n Mass: 175.44 kg\n Factor of Safety: 1.12\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.44096120106806, + "fos_buckling": 1.1240196917283791, + "fos_yielding": 4.910915849968507, + "deflection": 0.013068597286698645, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.175)" + }, + "parent_node_id": "node_2197", + "improvement_over_parent": null + }, + "node_2199": { + "node_id": "node_2199", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0034)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0094)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n Mass: 204.29 kg\n Factor of Safety: 1.29\n Max Deflection: 1.13e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.28928367421997, + "fos_buckling": 1.2902027593323784, + "fos_yielding": 5.711478312043915, + "deflection": 0.01126702713582285, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.181)" + }, + "parent_node_id": "node_2198", + "improvement_over_parent": null + }, + "node_2200": { + "node_id": "node_2200", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2199", + "improvement_over_parent": null + }, + "node_2201": { + "node_id": "node_2201", + "content": "INITIAL DESIGN (Trace 313)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n Mass: 140.19 kg\n Factor of Safety: 0.87\n Max Deflection: 1.67e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 140.18613458300362, + "fos_buckling": 0.8657800180170153, + "fos_yielding": 3.6298696079999972, + "deflection": 0.016724372603589815, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2202": { + "node_id": "node_2202", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n\nPerformance:\n Mass: 143.38 kg\n Factor of Safety: 1.14\n Max Deflection: 1.59e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 143.37880729621955, + "fos_buckling": 1.1373913398620394, + "fos_yielding": 3.4141847931715956, + "deflection": 0.015860514792040557, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.002443)" + }, + "parent_node_id": "node_2201", + "improvement_over_parent": null + }, + "node_2203": { + "node_id": "node_2203", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n\nPerformance:\n Mass: 166.04 kg\n Factor of Safety: 1.29\n Max Deflection: 1.37e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.03717018154413, + "fos_buckling": 1.2879659457934836, + "fos_yielding": 3.951165370016797, + "deflection": 0.01374196987212551, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.170)" + }, + "parent_node_id": "node_2202", + "improvement_over_parent": null + }, + "node_2204": { + "node_id": "node_2204", + "content": "MODIFICATION: Increase 4 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0061)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n\nPerformance:\n Mass: 167.70 kg\n Factor of Safety: 1.29\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 167.7038631189435, + "fos_buckling": 1.2916293119016187, + "fos_yielding": 3.9538703082686406, + "deflection": 0.0134348182375814, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.179)" + }, + "parent_node_id": "node_2203", + "improvement_over_parent": null + }, + "node_2205": { + "node_id": "node_2205", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0076)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n\nPerformance:\n Mass: 206.15 kg\n Factor of Safety: 1.53\n Max Deflection: 1.10e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 206.1497076493908, + "fos_buckling": 1.5318029008007632, + "fos_yielding": 4.856062293449034, + "deflection": 0.010994014172108003, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.252)" + }, + "parent_node_id": "node_2204", + "improvement_over_parent": null + }, + "node_2206": { + "node_id": "node_2206", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2205", + "improvement_over_parent": null + }, + "node_2207": { + "node_id": "node_2207", + "content": "INITIAL DESIGN (Trace 314)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n Mass: 137.43 kg\n Factor of Safety: 0.81\n Max Deflection: 1.74e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 137.43171653114487, + "fos_buckling": 0.8148356057238196, + "fos_yielding": 3.4091665191440566, + "deflection": 0.017449112742950926, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2208": { + "node_id": "node_2208", + "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n\nPerformance:\n Mass: 144.09 kg\n Factor of Safety: 1.14\n Max Deflection: 1.58e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 144.09355609701458, + "fos_buckling": 1.139996894456005, + "fos_yielding": 3.4102630981380058, + "deflection": 0.01580839834481414, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.003853)" + }, + "parent_node_id": "node_2207", + "improvement_over_parent": null + }, + "node_2209": { + "node_id": "node_2209", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n\nPerformance:\n Mass: 182.62 kg\n Factor of Safety: 1.39\n Max Deflection: 1.25e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.62092289088332, + "fos_buckling": 1.3941942048352909, + "fos_yielding": 4.31762801275884, + "deflection": 0.012543793580107572, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.290)" + }, + "parent_node_id": "node_2208", + "improvement_over_parent": null + }, + "node_2210": { + "node_id": "node_2210", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n Mass: 204.72 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.72446516284398, + "fos_buckling": 1.5305380004622322, + "fos_yielding": 4.837347162413991, + "deflection": 0.01122554298591891, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.133)" + }, + "parent_node_id": "node_2209", + "improvement_over_parent": null + }, + "node_2211": { + "node_id": "node_2211", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2210", + "improvement_over_parent": null + }, + "node_2212": { + "node_id": "node_2212", + "content": "INITIAL DESIGN (Trace 315)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0029)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nPerformance:\n Mass: 165.22 kg\n Factor of Safety: 0.90\n Max Deflection: 1.44e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.22139147744, + "fos_buckling": 0.8988269931936862, + "fos_yielding": 4.222689162171694, + "deflection": 0.014439487544666363, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2213": { + "node_id": "node_2213", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 190.96 kg\n Factor of Safety: 1.02\n Max Deflection: 1.25e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.96199060450036, + "fos_buckling": 1.0159779194593028, + "fos_yielding": 4.876489253523102, + "deflection": 0.012522383658571801, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.171)" + }, + "parent_node_id": "node_2212", + "improvement_over_parent": null + }, + "node_2214": { + "node_id": "node_2214", + "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n Mass: 194.08 kg\n Factor of Safety: 1.02\n Max Deflection: 1.09e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.07736850422077, + "fos_buckling": 1.0154254894533623, + "fos_yielding": 4.876293119876271, + "deflection": 0.010852885210846179, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)" + }, + "parent_node_id": "node_2213", + "improvement_over_parent": null + }, + "node_2215": { + "node_id": "node_2215", + "content": "MODIFICATION: Increase 14 thickness by 38%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0072)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n Mass: 197.21 kg\n Factor of Safety: 1.02\n Max Deflection: 1.08e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.20735419037197, + "fos_buckling": 1.0162582496331327, + "fos_yielding": 4.872720745527581, + "deflection": 0.01083365294296237, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.376)" + }, + "parent_node_id": "node_2214", + "improvement_over_parent": null + }, + "node_2216": { + "node_id": "node_2216", + "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0072)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n Mass: 205.82 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 205.81784322344586, + "fos_buckling": 1.5287953310973308, + "fos_yielding": 4.860168963653385, + "deflection": 0.011245179912854212, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)" + }, + "parent_node_id": "node_2215", + "improvement_over_parent": null + }, + "node_2217": { + "node_id": "node_2217", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2216", + "improvement_over_parent": null + }, + "node_2218": { + "node_id": "node_2218", + "content": "INITIAL DESIGN (Trace 316)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0012)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0047)]\n\nPerformance:\n Mass: 143.14 kg\n Factor of Safety: 0.27\n Max Deflection: 8.58e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 143.1431272181435, + "fos_buckling": 0.27496315460784004, + "fos_yielding": 1.4656832965379583, + "deflection": 0.08576394634163206, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2219": { + "node_id": "node_2219", + "content": "MODIFICATION: Increase 17 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0012)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n Mass: 146.26 kg\n Factor of Safety: 0.27\n Max Deflection: 8.25e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 146.26087241927382, + "fos_buckling": 0.2748909794527384, + "fos_yielding": 1.4653282515091646, + "deflection": 0.08252661865917894, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.255)" + }, + "parent_node_id": "node_2218", + "improvement_over_parent": null + }, + "node_2220": { + "node_id": "node_2220", + "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0012)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n\nPerformance:\n Mass: 148.68 kg\n Factor of Safety: 0.27\n Max Deflection: 5.46e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 148.68455509780838, + "fos_buckling": 0.2747788391707409, + "fos_yielding": 1.464776580933402, + "deflection": 0.05456469141883975, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003173)" + }, + "parent_node_id": "node_2219", + "improvement_over_parent": null + }, + "node_2221": { + "node_id": "node_2221", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0012)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n\nPerformance:\n Mass: 158.40 kg\n Factor of Safety: 1.24\n Max Deflection: 1.45e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 158.4013391159208, + "fos_buckling": 1.2413690942051498, + "fos_yielding": 3.764440112244921, + "deflection": 0.014463913847277625, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.004926)" + }, + "parent_node_id": "node_2220", + "improvement_over_parent": null + }, + "node_2222": { + "node_id": "node_2222", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n Mass: 203.43 kg\n Factor of Safety: 1.53\n Max Deflection: 1.13e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 203.43482706361507, + "fos_buckling": 1.5279234011254395, + "fos_yielding": 4.828813982235816, + "deflection": 0.011335514488999962, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.312)" + }, + "parent_node_id": "node_2221", + "improvement_over_parent": null + }, + "node_2223": { + "node_id": "node_2223", + "content": "MODIFICATION: Increase 9 thickness by 59%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0085)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n Mass: 206.03 kg\n Factor of Safety: 1.54\n Max Deflection: 1.13e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 206.0343124066781, + "fos_buckling": 1.5380915510904904, + "fos_yielding": 4.8292898166724525, + "deflection": 0.011255422045182564, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.587)" + }, + "parent_node_id": "node_2222", + "improvement_over_parent": null + }, + "node_2224": { + "node_id": "node_2224", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0085)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n Mass: 206.75 kg\n Factor of Safety: 1.55\n Max Deflection: 1.11e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 206.75044423315177, + "fos_buckling": 1.548341297447328, + "fos_yielding": 4.824017446283209, + "deflection": 0.011142903046768023, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)" + }, + "parent_node_id": "node_2223", + "improvement_over_parent": null + }, + "node_2225": { + "node_id": "node_2225", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2224", + "improvement_over_parent": null + }, + "node_2226": { + "node_id": "node_2226", + "content": "INITIAL DESIGN (Trace 317)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0049)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0029)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0026)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0052)]\n\nPerformance:\n Mass: 123.60 kg\n Factor of Safety: 0.74\n Max Deflection: 1.79e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 123.60202938712783, + "fos_buckling": 0.7426609838559207, + "fos_yielding": 3.381457781825053, + "deflection": 0.017931710885893914, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2227": { + "node_id": "node_2227", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n\nPerformance:\n Mass: 155.62 kg\n Factor of Safety: 0.91\n Max Deflection: 1.43e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 155.62354402450362, + "fos_buckling": 0.908281089279558, + "fos_yielding": 4.251988238516413, + "deflection": 0.014294335200140049, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.280)" + }, + "parent_node_id": "node_2226", + "improvement_over_parent": null + }, + "node_2228": { + "node_id": "node_2228", + "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n\nPerformance:\n Mass: 167.78 kg\n Factor of Safety: 0.91\n Max Deflection: 1.25e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 167.78013696081763, + "fos_buckling": 0.9073192843690631, + "fos_yielding": 4.251626124738481, + "deflection": 0.012480735221714119, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.005461)" + }, + "parent_node_id": "node_2227", + "improvement_over_parent": null + }, + "node_2229": { + "node_id": "node_2229", + "content": "MODIFICATION: Increase 7 thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n\nPerformance:\n Mass: 169.66 kg\n Factor of Safety: 0.91\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.66184182557063, + "fos_buckling": 0.9071705897293083, + "fos_yielding": 4.251570079080783, + "deflection": 0.01236136429385497, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.318)" + }, + "parent_node_id": "node_2228", + "improvement_over_parent": null + }, + "node_2230": { + "node_id": "node_2230", + "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n\nPerformance:\n Mass: 177.20 kg\n Factor of Safety: 1.27\n Max Deflection: 1.28e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.20005514062606, + "fos_buckling": 1.2672926019905026, + "fos_yielding": 4.2414369913498575, + "deflection": 0.01283355705096271, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004300)" + }, + "parent_node_id": "node_2229", + "improvement_over_parent": null + }, + "node_2231": { + "node_id": "node_2231", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n Mass: 202.39 kg\n Factor of Safety: 1.42\n Max Deflection: 1.13e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.3853861803602, + "fos_buckling": 1.423049953631096, + "fos_yielding": 4.840401857441329, + "deflection": 0.011278210334217734, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.156)" + }, + "parent_node_id": "node_2230", + "improvement_over_parent": null + }, + "node_2232": { + "node_id": "node_2232", + "content": "MODIFICATION: Increase 15 thickness by 34%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n Mass: 204.65 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.64616046053027, + "fos_buckling": 1.5300930540618711, + "fos_yielding": 4.835294490715293, + "deflection": 0.01122998426485239, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.342)" + }, + "parent_node_id": "node_2231", + "improvement_over_parent": null + }, + "node_2233": { + "node_id": "node_2233", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2232", + "improvement_over_parent": null + }, + "node_2234": { + "node_id": "node_2234", + "content": "INITIAL DESIGN (Trace 318)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0028)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0026)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0049)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0046)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0029)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0040)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0052)]\n\nPerformance:\n Mass: 134.46 kg\n Factor of Safety: 0.82\n Max Deflection: 1.84e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 134.46192918524204, + "fos_buckling": 0.8221124778341121, + "fos_yielding": 3.329218156019163, + "deflection": 0.01844893413922584, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2235": { + "node_id": "node_2235", + "content": "MODIFICATION: Increase 0 thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0026)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0049)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0046)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0029)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0040)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0052)]\n\nPerformance:\n Mass: 135.68 kg\n Factor of Safety: 0.82\n Max Deflection: 1.83e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 135.67977684942602, + "fos_buckling": 0.8201338165471431, + "fos_yielding": 3.349356024547566, + "deflection": 0.018288315445677095, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.276)" + }, + "parent_node_id": "node_2234", + "improvement_over_parent": null + }, + "node_2236": { + "node_id": "node_2236", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0032)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0035)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n Mass: 162.44 kg\n Factor of Safety: 0.97\n Max Deflection: 1.53e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.4416759242194, + "fos_buckling": 0.9657860941016922, + "fos_yielding": 4.005623471974412, + "deflection": 0.015316363908332865, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.212)" + }, + "parent_node_id": "node_2235", + "improvement_over_parent": null + }, + "node_2237": { + "node_id": "node_2237", + "content": "MODIFICATION: Increase 1 thickness by 62%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0035)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n Mass: 166.05 kg\n Factor of Safety: 1.02\n Max Deflection: 1.44e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.05171107017054, + "fos_buckling": 1.0187633171716268, + "fos_yielding": 3.9941397368991365, + "deflection": 0.014416409298442226, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.623)" + }, + "parent_node_id": "node_2236", + "improvement_over_parent": null + }, + "node_2238": { + "node_id": "node_2238", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 200.88 kg\n Factor of Safety: 1.21\n Max Deflection: 1.20e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.87977743190493, + "fos_buckling": 1.2052796092383347, + "fos_yielding": 4.826330490446023, + "deflection": 0.011967304965799603, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.230)" + }, + "parent_node_id": "node_2237", + "improvement_over_parent": null + }, + "node_2239": { + "node_id": "node_2239", + "content": "MODIFICATION: Increase 5 thickness by 48%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.68 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.6840257838645, + "fos_buckling": 1.5303499935566542, + "fos_yielding": 4.8365822334383894, + "deflection": 0.01122842010942528, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.481)" + }, + "parent_node_id": "node_2238", + "improvement_over_parent": null + }, + "node_2240": { + "node_id": "node_2240", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2239", + "improvement_over_parent": null + }, + "node_2241": { + "node_id": "node_2241", + "content": "INITIAL DESIGN (Trace 319)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0030)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0041)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0039)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0037)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0032)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0030)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0030)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0032)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n\nPerformance:\n Mass: 98.52 kg\n Factor of Safety: 0.31\n Max Deflection: 3.19e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 98.52068638471627, + "fos_buckling": 0.3105265135328097, + "fos_yielding": 2.0176324119386355, + "deflection": 0.03189541828185791, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2242": { + "node_id": "node_2242", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0030)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0041)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0039)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0037)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0032)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0030)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0030)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0032)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M18: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n\nPerformance:\n Mass: 103.10 kg\n Factor of Safety: 0.31\n Max Deflection: 3.14e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 103.09810296732614, + "fos_buckling": 0.3104860548210068, + "fos_yielding": 2.017491360324788, + "deflection": 0.031377296194114376, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.002675)" + }, + "parent_node_id": "node_2241", + "improvement_over_parent": null + }, + "node_2243": { + "node_id": "node_2243", + "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0030)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0041)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0039)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0037)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0032)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0030)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0030)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0032)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M18: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0044)]\n\nPerformance:\n Mass: 115.36 kg\n Factor of Safety: 0.64\n Max Deflection: 1.83e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 115.3633906639413, + "fos_buckling": 0.6384537779209447, + "fos_yielding": 2.859354978072939, + "deflection": 0.018250282434278106, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.004379)" + }, + "parent_node_id": "node_2242", + "improvement_over_parent": null + }, + "node_2244": { + "node_id": "node_2244", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M18: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n Mass: 138.35 kg\n Factor of Safety: 0.75\n Max Deflection: 1.53e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 138.35314202391055, + "fos_buckling": 0.7517797502498262, + "fos_yielding": 3.427020440308349, + "deflection": 0.0152525468087633, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.212)" + }, + "parent_node_id": "node_2243", + "improvement_over_parent": null + }, + "node_2245": { + "node_id": "node_2245", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M18: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n\nPerformance:\n Mass: 175.84 kg\n Factor of Safety: 0.93\n Max Deflection: 1.20e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.83769561579308, + "fos_buckling": 0.926528254958448, + "fos_yielding": 4.351068083454136, + "deflection": 0.012045779695819056, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.294)" + }, + "parent_node_id": "node_2244", + "improvement_over_parent": null + }, + "node_2246": { + "node_id": "node_2246", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 196.16 kg\n Factor of Safety: 1.02\n Max Deflection: 1.08e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.15870296072546, + "fos_buckling": 1.0160373301288144, + "fos_yielding": 4.851221314474999, + "deflection": 0.010819634929380019, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.127)" + }, + "parent_node_id": "node_2245", + "improvement_over_parent": null + }, + "node_2247": { + "node_id": "node_2247", + "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n Mass: 204.77 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.76919199379935, + "fos_buckling": 1.5308805287671297, + "fos_yielding": 4.838505696671202, + "deflection": 0.011222870471387217, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)" + }, + "parent_node_id": "node_2246", + "improvement_over_parent": null + }, + "node_2248": { + "node_id": "node_2248", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2247", + "improvement_over_parent": null + }, + "node_2249": { + "node_id": "node_2249", + "content": "INITIAL DESIGN (Trace 320)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 178.46 kg\n Factor of Safety: 0.28\n Max Deflection: 3.59e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.45525083899457, + "fos_buckling": 0.2766134903482267, + "fos_yielding": 1.3933461264143294, + "deflection": 0.035861719330320334, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2250": { + "node_id": "node_2250", + "content": "MODIFICATION: Increase 4 thickness by 47%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 180.06 kg\n Factor of Safety: 0.28\n Max Deflection: 3.58e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.0556297255349, + "fos_buckling": 0.27657643457257, + "fos_yielding": 1.3913334572779015, + "deflection": 0.035829491070126, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.473)" + }, + "parent_node_id": "node_2249", + "improvement_over_parent": null + }, + "node_2251": { + "node_id": "node_2251", + "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n Mass: 189.52 kg\n Factor of Safety: 0.28\n Max Deflection: 3.38e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.51994428758974, + "fos_buckling": 0.2763574970721095, + "fos_yielding": 1.3902148638281058, + "deflection": 0.03376864759630194, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)" + }, + "parent_node_id": "node_2250", + "improvement_over_parent": null + }, + "node_2252": { + "node_id": "node_2252", + "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70449830249115, + "fos_buckling": 1.530402157672427, + "fos_yielding": 4.836732646722823, + "deflection": 0.011226791415950323, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)" + }, + "parent_node_id": "node_2251", + "improvement_over_parent": null + }, + "node_2253": { + "node_id": "node_2253", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2252", + "improvement_over_parent": null + }, + "node_2254": { + "node_id": "node_2254", + "content": "INITIAL DESIGN (Trace 321)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n\nPerformance:\n Mass: 148.66 kg\n Factor of Safety: 0.24\n Max Deflection: 4.22e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 148.66218525719117, + "fos_buckling": 0.2417138596327566, + "fos_yielding": 1.1819763616865884, + "deflection": 0.04216288464492323, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2255": { + "node_id": "node_2255", + "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n\nPerformance:\n Mass: 161.52 kg\n Factor of Safety: 0.95\n Max Deflection: 1.46e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 161.51502292215434, + "fos_buckling": 0.9539164993515998, + "fos_yielding": 4.0963753386575625, + "deflection": 0.014565507757185094, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.005947)" + }, + "parent_node_id": "node_2254", + "improvement_over_parent": null + }, + "node_2256": { + "node_id": "node_2256", + "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n\nPerformance:\n Mass: 173.27 kg\n Factor of Safety: 1.33\n Max Deflection: 1.32e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.2679787470909, + "fos_buckling": 1.3344297799314513, + "fos_yielding": 4.0975377576713505, + "deflection": 0.01320297408614387, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.005265)" + }, + "parent_node_id": "node_2255", + "improvement_over_parent": null + }, + "node_2257": { + "node_id": "node_2257", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n Mass: 204.66 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.6610388724925, + "fos_buckling": 1.5301650831681446, + "fos_yielding": 4.835868490475146, + "deflection": 0.011229004855744277, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.199)" + }, + "parent_node_id": "node_2256", + "improvement_over_parent": null + }, + "node_2258": { + "node_id": "node_2258", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2257", + "improvement_over_parent": null + }, + "node_2259": { + "node_id": "node_2259", + "content": "INITIAL DESIGN (Trace 322)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0052)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0049)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0046)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0028)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0043)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0036)]\n\nPerformance:\n Mass: 133.97 kg\n Factor of Safety: 0.58\n Max Deflection: 1.87e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 133.96876706241426, + "fos_buckling": 0.582936114536587, + "fos_yielding": 3.3046938787514977, + "deflection": 0.018658250547374057, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2260": { + "node_id": "node_2260", + "content": "MODIFICATION: Increase 14 thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0052)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0049)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0046)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0028)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0043)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0036)]\n\nPerformance:\n Mass: 135.00 kg\n Factor of Safety: 0.58\n Max Deflection: 1.86e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 135.00350753764317, + "fos_buckling": 0.5828847685389714, + "fos_yielding": 3.3044027957326434, + "deflection": 0.018627760462116737, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.186)" + }, + "parent_node_id": "node_2259", + "improvement_over_parent": null + }, + "node_2261": { + "node_id": "node_2261", + "content": "MODIFICATION: Increase 18 thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0052)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0049)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0046)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0028)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0043)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0036)]\n\nPerformance:\n Mass: 136.90 kg\n Factor of Safety: 0.58\n Max Deflection: 1.86e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 136.89791322839983, + "fos_buckling": 0.5827907875816263, + "fos_yielding": 3.303870013002747, + "deflection": 0.018630663766735542, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(18, thickness, 1.244)" + }, + "parent_node_id": "node_2260", + "improvement_over_parent": null + }, + "node_2262": { + "node_id": "node_2262", + "content": "MODIFICATION: Increase 11 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0052)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0049)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0046)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0043)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0036)]\n\nPerformance:\n Mass: 137.86 kg\n Factor of Safety: 0.58\n Max Deflection: 1.86e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 137.8635828232164, + "fos_buckling": 0.5827907875816264, + "fos_yielding": 3.3038700130027476, + "deflection": 0.018630663766735542, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.364)" + }, + "parent_node_id": "node_2261", + "improvement_over_parent": null + }, + "node_2263": { + "node_id": "node_2263", + "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0052)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0049)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0046)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0043)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0036)]\n M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0040)]\n\nPerformance:\n Mass: 144.80 kg\n Factor of Safety: 0.90\n Max Deflection: 1.58e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 144.795947697472, + "fos_buckling": 0.8951992688601182, + "fos_yielding": 3.548549653100947, + "deflection": 0.015809648927705085, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.004020)" + }, + "parent_node_id": "node_2262", + "improvement_over_parent": null + }, + "node_2264": { + "node_id": "node_2264", + "content": "MODIFICATION: Increase 20 thickness by 54%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0052)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0049)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0046)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0043)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0036)]\n M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0062)]\n\nPerformance:\n Mass: 148.19 kg\n Factor of Safety: 0.93\n Max Deflection: 1.56e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 148.19279459737731, + "fos_buckling": 0.9316436565219692, + "fos_yielding": 3.5485800731927326, + "deflection": 0.015633675606824066, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(20, thickness, 1.543)" + }, + "parent_node_id": "node_2263", + "improvement_over_parent": null + }, + "node_2265": { + "node_id": "node_2265", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0041)]\n M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0071)]\n\nPerformance:\n Mass: 168.51 kg\n Factor of Safety: 1.05\n Max Deflection: 1.38e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 168.50593572055072, + "fos_buckling": 1.0480094883933428, + "fos_yielding": 4.033407908710135, + "deflection": 0.01378482629461157, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.148)" + }, + "parent_node_id": "node_2264", + "improvement_over_parent": null + }, + "node_2266": { + "node_id": "node_2266", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0087)]\n\nPerformance:\n Mass: 202.21 kg\n Factor of Safety: 1.23\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.20580649702714, + "fos_buckling": 1.2349449165552007, + "fos_yielding": 4.836976722398031, + "deflection": 0.011536554433705397, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.220)" + }, + "parent_node_id": "node_2265", + "improvement_over_parent": null + }, + "node_2267": { + "node_id": "node_2267", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2266", + "improvement_over_parent": null + }, + "node_2268": { + "node_id": "node_2268", + "content": "INITIAL DESIGN (Trace 323)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0043)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0038)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0035)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0028)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0033)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0034)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0046)]\n\nPerformance:\n Mass: 120.14 kg\n Factor of Safety: 0.66\n Max Deflection: 1.75e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 120.14039201782508, + "fos_buckling": 0.6623839889298718, + "fos_yielding": 2.9773570447231106, + "deflection": 0.01753302770209526, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2269": { + "node_id": "node_2269", + "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0043)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0038)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0035)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0028)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0033)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0034)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0046)]\n M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0029)]\n\nPerformance:\n Mass: 125.42 kg\n Factor of Safety: 1.01\n Max Deflection: 1.81e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 125.41591496624929, + "fos_buckling": 1.0091545279130625, + "fos_yielding": 2.9697169069662723, + "deflection": 0.01811284952094967, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.002937)" + }, + "parent_node_id": "node_2268", + "improvement_over_parent": null + }, + "node_2270": { + "node_id": "node_2270", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n\nPerformance:\n Mass: 162.69 kg\n Factor of Safety: 1.27\n Max Deflection: 1.40e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.69149174649763, + "fos_buckling": 1.2653395163621177, + "fos_yielding": 3.8485127989748658, + "deflection": 0.01403940861947573, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.319)" + }, + "parent_node_id": "node_2269", + "improvement_over_parent": null + }, + "node_2271": { + "node_id": "node_2271", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n Mass: 204.49 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.48647249416837, + "fos_buckling": 1.5291100142705136, + "fos_yielding": 4.831769722455008, + "deflection": 0.011238175612369318, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.282)" + }, + "parent_node_id": "node_2270", + "improvement_over_parent": null + }, + "node_2272": { + "node_id": "node_2272", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2271", + "improvement_over_parent": null + }, + "node_2273": { + "node_id": "node_2273", + "content": "INITIAL DESIGN (Trace 324)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0024)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0029)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0033)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0032)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0019)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0030)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0033)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0026)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0026)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0011)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0009)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0019)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0025)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0027)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0022)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0024)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0026)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0026)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0023)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0029)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0035)]\n\nPerformance:\n Mass: 98.14 kg\n Factor of Safety: 0.81\n Max Deflection: 2.31e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 98.13903840372939, + "fos_buckling": 0.8090769122541996, + "fos_yielding": 2.3255249655962316, + "deflection": 0.02305439280961213, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2274": { + "node_id": "node_2274", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0044)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0039)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0034)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0036)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0028)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0034)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0046)]\n\nPerformance:\n Mass: 126.53 kg\n Factor of Safety: 1.02\n Max Deflection: 1.80e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 126.52540691145983, + "fos_buckling": 1.0170635509553927, + "fos_yielding": 2.995890577374435, + "deflection": 0.01795701770608656, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.305)" + }, + "parent_node_id": "node_2273", + "improvement_over_parent": null + }, + "node_2275": { + "node_id": "node_2275", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n Mass: 164.80 kg\n Factor of Safety: 1.28\n Max Deflection: 1.39e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.7975729236665, + "fos_buckling": 1.2792196093655461, + "fos_yielding": 3.89810143706258, + "deflection": 0.013864309466098297, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.325)" + }, + "parent_node_id": "node_2274", + "improvement_over_parent": null + }, + "node_2276": { + "node_id": "node_2276", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.72 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.72281577913452, + "fos_buckling": 1.5305274950248273, + "fos_yielding": 4.837310002887152, + "deflection": 0.011225628969672535, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.266)" + }, + "parent_node_id": "node_2275", + "improvement_over_parent": null + }, + "node_2277": { + "node_id": "node_2277", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2276", + "improvement_over_parent": null + }, + "node_2278": { + "node_id": "node_2278", + "content": "INITIAL DESIGN (Trace 325)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0020)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n\nPerformance:\n Mass: 127.59 kg\n Factor of Safety: 0.71\n Max Deflection: 1.64e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 127.5934014026557, + "fos_buckling": 0.7070420785342479, + "fos_yielding": 3.223252014009813, + "deflection": 0.016373833837253746, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2279": { + "node_id": "node_2279", + "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0020)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n\nPerformance:\n Mass: 133.27 kg\n Factor of Safety: 1.07\n Max Deflection: 1.70e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 133.2657480096373, + "fos_buckling": 1.0704639093754469, + "fos_yielding": 3.2158937754646764, + "deflection": 0.01697767382756388, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.003171)" + }, + "parent_node_id": "node_2278", + "improvement_over_parent": null + }, + "node_2280": { + "node_id": "node_2280", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n\nPerformance:\n Mass: 170.35 kg\n Factor of Safety: 1.32\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.35392029688455, + "fos_buckling": 1.3168488872710369, + "fos_yielding": 4.106138480244144, + "deflection": 0.013355229696022824, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.300)" + }, + "parent_node_id": "node_2279", + "improvement_over_parent": null + }, + "node_2281": { + "node_id": "node_2281", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n Mass: 202.18 kg\n Factor of Safety: 1.51\n Max Deflection: 1.13e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 202.18123609182246, + "fos_buckling": 1.511120751297073, + "fos_yielding": 4.868376395995988, + "deflection": 0.011306242442351004, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.205)" + }, + "parent_node_id": "node_2280", + "improvement_over_parent": null + }, + "node_2282": { + "node_id": "node_2282", + "content": "MODIFICATION: Increase 14 thickness by 48%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n Mass: 204.54 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.53888128459914, + "fos_buckling": 1.5294046695759493, + "fos_yielding": 4.832874019931781, + "deflection": 0.011235465744864314, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.477)" + }, + "parent_node_id": "node_2281", + "improvement_over_parent": null + }, + "node_2283": { + "node_id": "node_2283", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2282", + "improvement_over_parent": null + }, + "node_2284": { + "node_id": "node_2284", + "content": "INITIAL DESIGN (Trace 326)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0028)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n Mass: 136.42 kg\n Factor of Safety: 1.09\n Max Deflection: 1.70e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 136.4179431766769, + "fos_buckling": 1.0905236485360936, + "fos_yielding": 3.387258241136054, + "deflection": 0.0169521503172195, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2285": { + "node_id": "node_2285", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0034)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n\nPerformance:\n Mass: 164.44 kg\n Factor of Safety: 1.28\n Max Deflection: 1.41e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.44211325631494, + "fos_buckling": 1.2800738570120511, + "fos_yielding": 4.077879937046537, + "deflection": 0.014115757422932834, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.221)" + }, + "parent_node_id": "node_2284", + "improvement_over_parent": null + }, + "node_2286": { + "node_id": "node_2286", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0042)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 195.70 kg\n Factor of Safety: 1.48\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.69725381569944, + "fos_buckling": 1.477940083359318, + "fos_yielding": 4.845874899037543, + "deflection": 0.011910351866928105, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.208)" + }, + "parent_node_id": "node_2285", + "improvement_over_parent": null + }, + "node_2287": { + "node_id": "node_2287", + "content": "MODIFICATION: Increase 3 thickness by 66%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 201.04 kg\n Factor of Safety: 1.50\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 201.0434437070996, + "fos_buckling": 1.5016558906703932, + "fos_yielding": 4.845323838924416, + "deflection": 0.011468518990812259, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.661)" + }, + "parent_node_id": "node_2286", + "improvement_over_parent": null + }, + "node_2288": { + "node_id": "node_2288", + "content": "MODIFICATION: Increase 19 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 203.23 kg\n Factor of Safety: 1.53\n Max Deflection: 1.14e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 203.2289785902448, + "fos_buckling": 1.532159112581436, + "fos_yielding": 4.84533678555406, + "deflection": 0.01141077648943912, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(19, thickness, 1.205)" + }, + "parent_node_id": "node_2287", + "improvement_over_parent": null + }, + "node_2289": { + "node_id": "node_2289", + "content": "MODIFICATION: Increase 1 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.87 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.87356001504816, + "fos_buckling": 1.5315683738663923, + "fos_yielding": 4.841187790879866, + "deflection": 0.011217993027981649, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.176)" + }, + "parent_node_id": "node_2288", + "improvement_over_parent": null + }, + "node_2290": { + "node_id": "node_2290", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2289", + "improvement_over_parent": null + }, + "node_2291": { + "node_id": "node_2291", + "content": "INITIAL DESIGN (Trace 327)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0024)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0028)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0033)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0031)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0019)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0029)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0032)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0025)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0026)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0009)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0009)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0019)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0024)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0027)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0021)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0023)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0021)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0017)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0022)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0028)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0035)]\n\nPerformance:\n Mass: 93.51 kg\n Factor of Safety: 0.61\n Max Deflection: 2.31e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 93.5091494165628, + "fos_buckling": 0.6102244720389689, + "fos_yielding": 2.275870219015284, + "deflection": 0.023082449757830335, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2292": { + "node_id": "node_2292", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0030)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0041)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0039)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0036)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0032)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0011)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0023)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0030)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0029)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0027)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0021)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0044)]\n\nPerformance:\n Mass: 116.57 kg\n Factor of Safety: 0.75\n Max Deflection: 1.86e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 116.57244895725835, + "fos_buckling": 0.7538734811906315, + "fos_yielding": 2.8348616522614942, + "deflection": 0.018586884324962097, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.259)" + }, + "parent_node_id": "node_2291", + "improvement_over_parent": null + }, + "node_2293": { + "node_id": "node_2293", + "content": "MODIFICATION: Increase 17 thickness by 55%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0030)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0041)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0039)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0036)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0032)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0011)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0023)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0030)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0029)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0027)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0032)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0044)]\n\nPerformance:\n Mass: 118.86 kg\n Factor of Safety: 0.97\n Max Deflection: 1.91e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 118.86349775391638, + "fos_buckling": 0.9700782525807916, + "fos_yielding": 2.8363172592733625, + "deflection": 0.019076216243493874, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.546)" + }, + "parent_node_id": "node_2292", + "improvement_over_parent": null + }, + "node_2294": { + "node_id": "node_2294", + "content": "MODIFICATION: Increase 16 thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0030)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0041)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0039)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0036)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0032)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0011)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0023)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0030)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0029)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0032)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0044)]\n\nPerformance:\n Mass: 119.85 kg\n Factor of Safety: 0.97\n Max Deflection: 1.89e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 119.8471432741398, + "fos_buckling": 0.9702320690371133, + "fos_yielding": 2.8386362951354256, + "deflection": 0.01891335764920844, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.189)" + }, + "parent_node_id": "node_2293", + "improvement_over_parent": null + }, + "node_2295": { + "node_id": "node_2295", + "content": "MODIFICATION: Increase 9 thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0030)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0041)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0039)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0036)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0032)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0023)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0030)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0029)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0032)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0044)]\n\nPerformance:\n Mass: 119.99 kg\n Factor of Safety: 0.97\n Max Deflection: 1.89e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 119.98756893223526, + "fos_buckling": 0.9701751147653062, + "fos_yielding": 2.8415383856635246, + "deflection": 0.018918091598737443, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.284)" + }, + "parent_node_id": "node_2294", + "improvement_over_parent": null + }, + "node_2296": { + "node_id": "node_2296", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n Mass: 143.79 kg\n Factor of Safety: 1.14\n Max Deflection: 1.58e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 143.7934414289114, + "fos_buckling": 1.137920080639826, + "fos_yielding": 3.403133516120112, + "deflection": 0.01584138752405054, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.211)" + }, + "parent_node_id": "node_2295", + "improvement_over_parent": null + }, + "node_2297": { + "node_id": "node_2297", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n Mass: 165.59 kg\n Factor of Safety: 1.28\n Max Deflection: 1.38e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.58725501092403, + "fos_buckling": 1.2843945133405033, + "fos_yielding": 3.9166345943193415, + "deflection": 0.013800381596350133, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.163)" + }, + "parent_node_id": "node_2296", + "improvement_over_parent": null + }, + "node_2298": { + "node_id": "node_2298", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.65 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.64825623397942, + "fos_buckling": 1.5300630418458563, + "fos_yielding": 4.835481883508005, + "deflection": 0.011230071379690525, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.259)" + }, + "parent_node_id": "node_2297", + "improvement_over_parent": null + }, + "node_2299": { + "node_id": "node_2299", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2298", + "improvement_over_parent": null + }, + "node_2300": { + "node_id": "node_2300", + "content": "INITIAL DESIGN (Trace 328)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0029)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0040)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0038)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0016)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0036)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0031)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0031)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0023)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0029)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0033)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0026)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0029)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0031)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0031)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0027)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0042)]\n\nPerformance:\n Mass: 116.08 kg\n Factor of Safety: 0.83\n Max Deflection: 1.95e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 116.07866380839958, + "fos_buckling": 0.8332879783794432, + "fos_yielding": 2.7866296866118785, + "deflection": 0.019491364248023342, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2301": { + "node_id": "node_2301", + "content": "MODIFICATION: Increase 4 thickness by 45%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0029)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0040)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0038)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0023)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0036)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0031)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0031)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0023)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0029)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0033)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0026)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0029)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0031)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0031)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0027)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0042)]\n\nPerformance:\n Mass: 116.99 kg\n Factor of Safety: 0.95\n Max Deflection: 1.94e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 116.9926141875309, + "fos_buckling": 0.9485243342726719, + "fos_yielding": 2.7709615223597823, + "deflection": 0.019392793236558615, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.453)" + }, + "parent_node_id": "node_2300", + "improvement_over_parent": null + }, + "node_2302": { + "node_id": "node_2302", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n\nPerformance:\n Mass: 134.67 kg\n Factor of Safety: 1.07\n Max Deflection: 1.69e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 134.67035463428232, + "fos_buckling": 1.0746243157588233, + "fos_yielding": 3.1881439246827115, + "deflection": 0.01689101816869867, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.160)" + }, + "parent_node_id": "node_2301", + "improvement_over_parent": null + }, + "node_2303": { + "node_id": "node_2303", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n\nPerformance:\n Mass: 174.70 kg\n Factor of Safety: 1.34\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.69895578282257, + "fos_buckling": 1.343667737895733, + "fos_yielding": 4.131329252246318, + "deflection": 0.01309734384990804, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.321)" + }, + "parent_node_id": "node_2302", + "improvement_over_parent": null + }, + "node_2304": { + "node_id": "node_2304", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.60 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.60064086600397, + "fos_buckling": 1.5298152103276044, + "fos_yielding": 4.834575899210881, + "deflection": 0.011232036989582993, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.188)" + }, + "parent_node_id": "node_2303", + "improvement_over_parent": null + }, + "node_2305": { + "node_id": "node_2305", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2304", + "improvement_over_parent": null + }, + "node_2306": { + "node_id": "node_2306", + "content": "INITIAL DESIGN (Trace 329)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0037)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 185.67 kg\n Factor of Safety: 0.97\n Max Deflection: 1.37e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.66832722797204, + "fos_buckling": 0.9715775661718761, + "fos_yielding": 4.589992649312499, + "deflection": 0.013664018592675423, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2307": { + "node_id": "node_2307", + "content": "MODIFICATION: Increase 2 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 188.54 kg\n Factor of Safety: 1.16\n Max Deflection: 1.27e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.54435587903862, + "fos_buckling": 1.156894708018794, + "fos_yielding": 5.163068482658349, + "deflection": 0.01271704444908898, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.359)" + }, + "parent_node_id": "node_2306", + "improvement_over_parent": null + }, + "node_2308": { + "node_id": "node_2308", + "content": "MODIFICATION: Increase 15 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 190.39 kg\n Factor of Safety: 1.16\n Max Deflection: 1.27e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.39022501348478, + "fos_buckling": 1.1560138298046616, + "fos_yielding": 5.163068482658349, + "deflection": 0.012658427810729138, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.221)" + }, + "parent_node_id": "node_2307", + "improvement_over_parent": null + }, + "node_2309": { + "node_id": "node_2309", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n Mass: 198.17 kg\n Factor of Safety: 1.27\n Max Deflection: 1.20e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.17187352573725, + "fos_buckling": 1.269730500130847, + "fos_yielding": 4.870469470489883, + "deflection": 0.012008737897518662, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004727)" + }, + "parent_node_id": "node_2308", + "improvement_over_parent": null + }, + "node_2310": { + "node_id": "node_2310", + "content": "MODIFICATION: Increase 4 thickness by 62%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n Mass: 200.09 kg\n Factor of Safety: 1.53\n Max Deflection: 1.19e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 200.0911972460621, + "fos_buckling": 1.5251462098753237, + "fos_yielding": 4.834006420208674, + "deflection": 0.011923972856127976, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.621)" + }, + "parent_node_id": "node_2309", + "improvement_over_parent": null + }, + "node_2311": { + "node_id": "node_2311", + "content": "MODIFICATION: Increase 2 thickness by 45%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n Mass: 204.72 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.7156560357428, + "fos_buckling": 1.5304030594747198, + "fos_yielding": 4.836797562787117, + "deflection": 0.011225487471225737, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.445)" + }, + "parent_node_id": "node_2310", + "improvement_over_parent": null + }, + "node_2312": { + "node_id": "node_2312", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2311", + "improvement_over_parent": null + }, + "node_2313": { + "node_id": "node_2313", + "content": "INITIAL DESIGN (Trace 330)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0030)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n\nPerformance:\n Mass: 169.78 kg\n Factor of Safety: 0.41\n Max Deflection: 1.59e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.7766848413406, + "fos_buckling": 0.4114862758245413, + "fos_yielding": 3.716861994922439, + "deflection": 0.015935249623679718, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2314": { + "node_id": "node_2314", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 189.11 kg\n Factor of Safety: 0.45\n Max Deflection: 1.44e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.11062415698282, + "fos_buckling": 0.44807390215533754, + "fos_yielding": 4.135605499277913, + "deflection": 0.014351605902045001, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.125)" + }, + "parent_node_id": "node_2313", + "improvement_over_parent": null + }, + "node_2315": { + "node_id": "node_2315", + "content": "MODIFICATION: Increase 0 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 190.22 kg\n Factor of Safety: 0.45\n Max Deflection: 1.44e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.22239753520654, + "fos_buckling": 0.4479506039583155, + "fos_yielding": 4.135379658131606, + "deflection": 0.014353354660891564, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.217)" + }, + "parent_node_id": "node_2314", + "improvement_over_parent": null + }, + "node_2316": { + "node_id": "node_2316", + "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 202.76 kg\n Factor of Safety: 1.50\n Max Deflection: 1.14e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.76138987517584, + "fos_buckling": 1.4992649101090234, + "fos_yielding": 4.803882866388624, + "deflection": 0.011352853315641979, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)" + }, + "parent_node_id": "node_2315", + "improvement_over_parent": null + }, + "node_2317": { + "node_id": "node_2317", + "content": "MODIFICATION: Increase 0 thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 204.72 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.71531192402944, + "fos_buckling": 1.5304584128323624, + "fos_yielding": 4.837096686808358, + "deflection": 0.011226025609282583, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.325)" + }, + "parent_node_id": "node_2316", + "improvement_over_parent": null + }, + "node_2318": { + "node_id": "node_2318", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2317", + "improvement_over_parent": null + }, + "node_2319": { + "node_id": "node_2319", + "content": "INITIAL DESIGN (Trace 331)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n Mass: 173.90 kg\n Factor of Safety: 0.80\n Max Deflection: 1.43e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.89637805603718, + "fos_buckling": 0.7998162965464416, + "fos_yielding": 4.28891787761388, + "deflection": 0.014326549399914162, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2320": { + "node_id": "node_2320", + "content": "MODIFICATION: Increase 11 thickness by 34%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n Mass: 174.99 kg\n Factor of Safety: 0.79\n Max Deflection: 1.43e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.98886281199594, + "fos_buckling": 0.7858118305006138, + "fos_yielding": 4.289525266079826, + "deflection": 0.014305392913071535, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.340)" + }, + "parent_node_id": "node_2319", + "improvement_over_parent": null + }, + "node_2321": { + "node_id": "node_2321", + "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n\nPerformance:\n Mass: 177.74 kg\n Factor of Safety: 1.18\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.73944101461115, + "fos_buckling": 1.1834520187182196, + "fos_yielding": 4.2760135357720985, + "deflection": 0.013355716494735678, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003637)" + }, + "parent_node_id": "node_2320", + "improvement_over_parent": null + }, + "node_2322": { + "node_id": "node_2322", + "content": "MODIFICATION: Increase 6 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n\nPerformance:\n Mass: 180.75 kg\n Factor of Safety: 1.38\n Max Deflection: 1.27e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.7511525070407, + "fos_buckling": 1.382407203367171, + "fos_yielding": 4.273764939211688, + "deflection": 0.012670781376387547, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.314)" + }, + "parent_node_id": "node_2321", + "improvement_over_parent": null + }, + "node_2323": { + "node_id": "node_2323", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n Mass: 204.61 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.60585171534075, + "fos_buckling": 1.5298926163133684, + "fos_yielding": 4.834703800046856, + "deflection": 0.011232454915358969, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.145)" + }, + "parent_node_id": "node_2322", + "improvement_over_parent": null + }, + "node_2324": { + "node_id": "node_2324", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2323", + "improvement_over_parent": null + }, + "node_2325": { + "node_id": "node_2325", + "content": "INITIAL DESIGN (Trace 332)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0021)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n Mass: 151.15 kg\n Factor of Safety: 0.37\n Max Deflection: 1.81e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 151.15035830875357, + "fos_buckling": 0.3707186668786146, + "fos_yielding": 3.275985040419588, + "deflection": 0.018068602067777283, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2326": { + "node_id": "node_2326", + "content": "MODIFICATION: Increase 11 thickness by 50%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n Mass: 151.94 kg\n Factor of Safety: 0.37\n Max Deflection: 1.80e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 151.93544901624722, + "fos_buckling": 0.37067023263640314, + "fos_yielding": 3.2759006563310127, + "deflection": 0.01804333700019428, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.502)" + }, + "parent_node_id": "node_2325", + "improvement_over_parent": null + }, + "node_2327": { + "node_id": "node_2327", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n\nPerformance:\n Mass: 168.34 kg\n Factor of Safety: 0.40\n Max Deflection: 1.63e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 168.34134262482982, + "fos_buckling": 0.4031200246564452, + "fos_yielding": 3.6266172740130402, + "deflection": 0.016327188966332222, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.117)" + }, + "parent_node_id": "node_2326", + "improvement_over_parent": null + }, + "node_2328": { + "node_id": "node_2328", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 192.24 kg\n Factor of Safety: 0.45\n Max Deflection: 1.44e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.24295140968133, + "fos_buckling": 0.44786624865624863, + "fos_yielding": 4.136532502892626, + "deflection": 0.014351172004466586, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.156)" + }, + "parent_node_id": "node_2327", + "improvement_over_parent": null + }, + "node_2329": { + "node_id": "node_2329", + "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 204.78 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.78194374965062, + "fos_buckling": 1.5308991351528776, + "fos_yielding": 4.838792271175688, + "deflection": 0.011222389723478783, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)" + }, + "parent_node_id": "node_2328", + "improvement_over_parent": null + }, + "node_2330": { + "node_id": "node_2330", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2329", + "improvement_over_parent": null + }, + "node_2331": { + "node_id": "node_2331", + "content": "INITIAL DESIGN (Trace 333)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0045)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0043)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0040)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0028)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0037)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0029)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0032)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0048)]\n\nPerformance:\n Mass: 117.24 kg\n Factor of Safety: 0.04\n Max Deflection: 5.79e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 117.24079204565697, + "fos_buckling": 0.042572762991516445, + "fos_yielding": 0.8098893454230466, + "deflection": 57928716574408.52, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2332": { + "node_id": "node_2332", + "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0045)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0043)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0040)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0028)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0037)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0029)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0032)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0048)]\n M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n\nPerformance:\n Mass: 122.74 kg\n Factor of Safety: 0.17\n Max Deflection: 1.81e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 122.74228538334555, + "fos_buckling": 0.16552798394376772, + "fos_yielding": 2.4767729417505846, + "deflection": 0.018143109506150987, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.003070)" + }, + "parent_node_id": "node_2331", + "improvement_over_parent": null + }, + "node_2333": { + "node_id": "node_2333", + "content": "MODIFICATION: Increase 8 thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0045)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0043)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0040)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0035)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0037)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0029)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0032)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0048)]\n M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n\nPerformance:\n Mass: 123.49 kg\n Factor of Safety: 0.17\n Max Deflection: 1.81e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 123.4924646222602, + "fos_buckling": 0.16717147234814417, + "fos_yielding": 3.080984145565374, + "deflection": 0.018080505159678427, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.267)" + }, + "parent_node_id": "node_2332", + "improvement_over_parent": null + }, + "node_2334": { + "node_id": "node_2334", + "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0045)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0043)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0040)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0035)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0037)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0029)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0032)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0048)]\n M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0035)]\n\nPerformance:\n Mass: 130.79 kg\n Factor of Safety: 1.05\n Max Deflection: 1.74e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 130.79404929057836, + "fos_buckling": 1.0473664191209846, + "fos_yielding": 3.0944268768629355, + "deflection": 0.01738166620185844, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.003537)" + }, + "parent_node_id": "node_2333", + "improvement_over_parent": null + }, + "node_2335": { + "node_id": "node_2335", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0053)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0050)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0047)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0041)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0039)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0043)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0056)]\n M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n\nPerformance:\n Mass: 151.62 kg\n Factor of Safety: 1.19\n Max Deflection: 1.50e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 151.61777448556523, + "fos_buckling": 1.1913286017117681, + "fos_yielding": 3.585113556578304, + "deflection": 0.015040289898957147, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.170)" + }, + "parent_node_id": "node_2334", + "improvement_over_parent": null + }, + "node_2336": { + "node_id": "node_2336", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n\nPerformance:\n Mass: 174.63 kg\n Factor of Safety: 1.34\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.6289526699265, + "fos_buckling": 1.343228617071496, + "fos_yielding": 4.1267176911795005, + "deflection": 0.01310242555632402, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.164)" + }, + "parent_node_id": "node_2335", + "improvement_over_parent": null + }, + "node_2337": { + "node_id": "node_2337", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n Mass: 204.83 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.83301176923234, + "fos_buckling": 1.5312248540492004, + "fos_yielding": 4.836621121111993, + "deflection": 0.011219643839228317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.190)" + }, + "parent_node_id": "node_2336", + "improvement_over_parent": null + }, + "node_2338": { + "node_id": "node_2338", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2337", + "improvement_over_parent": null + }, + "node_2339": { + "node_id": "node_2339", + "content": "INITIAL DESIGN (Trace 334)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0031)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0042)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0040)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0020)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0037)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0033)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0031)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0030)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0033)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0029)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0044)]\n\nPerformance:\n Mass: 112.48 kg\n Factor of Safety: 0.18\n Max Deflection: 5.61e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 112.47866983944078, + "fos_buckling": 0.17894208836093628, + "fos_yielding": 0.8373943248901267, + "deflection": 0.05609229882081352, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2340": { + "node_id": "node_2340", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0040)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0054)]\n\nPerformance:\n Mass: 134.88 kg\n Factor of Safety: 0.21\n Max Deflection: 4.69e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 134.87808885875396, + "fos_buckling": 0.2095551158610541, + "fos_yielding": 1.0014335513231656, + "deflection": 0.0469135811900035, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.212)" + }, + "parent_node_id": "node_2339", + "improvement_over_parent": null + }, + "node_2341": { + "node_id": "node_2341", + "content": "MODIFICATION: Increase 4 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0040)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0054)]\n\nPerformance:\n Mass: 135.55 kg\n Factor of Safety: 0.21\n Max Deflection: 4.69e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 135.55022979536176, + "fos_buckling": 0.2095432369318933, + "fos_yielding": 1.0006969862354966, + "deflection": 0.04688990269387836, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.229)" + }, + "parent_node_id": "node_2340", + "improvement_over_parent": null + }, + "node_2342": { + "node_id": "node_2342", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0054)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n\nPerformance:\n Mass: 170.76 kg\n Factor of Safety: 0.25\n Max Deflection: 3.74e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.7580652977, + "fos_buckling": 0.2541774483967154, + "fos_yielding": 1.2553823272563804, + "deflection": 0.0373892435044109, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.282)" + }, + "parent_node_id": "node_2341", + "improvement_over_parent": null + }, + "node_2343": { + "node_id": "node_2343", + "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0054)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n\nPerformance:\n Mass: 184.44 kg\n Factor of Safety: 1.41\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.4381443692528, + "fos_buckling": 1.405670201295035, + "fos_yielding": 4.360379137099105, + "deflection": 0.012423772410142931, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.006363)" + }, + "parent_node_id": "node_2342", + "improvement_over_parent": null + }, + "node_2344": { + "node_id": "node_2344", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 204.75 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.74553343349518, + "fos_buckling": 1.5306713573193211, + "fos_yielding": 4.8378416701012625, + "deflection": 0.011224669868828564, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.121)" + }, + "parent_node_id": "node_2343", + "improvement_over_parent": null + }, + "node_2345": { + "node_id": "node_2345", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2344", + "improvement_over_parent": null + }, + "node_2346": { + "node_id": "node_2346", + "content": "INITIAL DESIGN (Trace 335)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0031)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0043)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0040)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0038)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0033)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0031)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0035)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0028)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0033)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0033)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0029)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0045)]\n\nPerformance:\n Mass: 123.78 kg\n Factor of Safety: 1.00\n Max Deflection: 1.85e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 123.78462742536213, + "fos_buckling": 0.9993452081205292, + "fos_yielding": 2.943980118461515, + "deflection": 0.018480846180218304, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2347": { + "node_id": "node_2347", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0031)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0043)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0040)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0038)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0033)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0031)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0035)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0028)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0033)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0033)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0029)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0045)]\n M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n\nPerformance:\n Mass: 124.22 kg\n Factor of Safety: 1.00\n Max Deflection: 1.83e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 124.21908131024261, + "fos_buckling": 1.0005971816770984, + "fos_yielding": 2.9414636157967067, + "deflection": 0.018284216430279412, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001168)" + }, + "parent_node_id": "node_2346", + "improvement_over_parent": null + }, + "node_2348": { + "node_id": "node_2348", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n\nPerformance:\n Mass: 145.00 kg\n Factor of Safety: 1.15\n Max Deflection: 1.57e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 144.99580306143326, + "fos_buckling": 1.1461910034508629, + "fos_yielding": 3.431535320128631, + "deflection": 0.015712106094172628, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.178)" + }, + "parent_node_id": "node_2347", + "improvement_over_parent": null + }, + "node_2349": { + "node_id": "node_2349", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n\nPerformance:\n Mass: 170.95 kg\n Factor of Safety: 1.32\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.94684830331508, + "fos_buckling": 1.3193961707028663, + "fos_yielding": 4.04288979602073, + "deflection": 0.013377601996646055, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.193)" + }, + "parent_node_id": "node_2348", + "improvement_over_parent": null + }, + "node_2350": { + "node_id": "node_2350", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n Mass: 204.72 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.72335646705596, + "fos_buckling": 1.5305309143890047, + "fos_yielding": 4.837323559458628, + "deflection": 0.01122560047548605, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.217)" + }, + "parent_node_id": "node_2349", + "improvement_over_parent": null + }, + "node_2351": { + "node_id": "node_2351", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2350", + "improvement_over_parent": null + }, + "node_2352": { + "node_id": "node_2352", + "content": "INITIAL DESIGN (Trace 336)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0018)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0024)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n Mass: 124.88 kg\n Factor of Safety: 0.51\n Max Deflection: 1.75e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 124.8771475949665, + "fos_buckling": 0.5111709761459873, + "fos_yielding": 3.39249784752211, + "deflection": 0.017546162038194243, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2353": { + "node_id": "node_2353", + "content": "MODIFICATION: Increase 7 thickness by 60%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0018)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n Mass: 127.29 kg\n Factor of Safety: 0.51\n Max Deflection: 1.73e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 127.28969061776952, + "fos_buckling": 0.5110659381303428, + "fos_yielding": 3.392435032780587, + "deflection": 0.017326241185803445, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.600)" + }, + "parent_node_id": "node_2352", + "improvement_over_parent": null + }, + "node_2354": { + "node_id": "node_2354", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0021)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n\nPerformance:\n Mass: 147.52 kg\n Factor of Safety: 0.58\n Max Deflection: 1.50e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 147.5208776853346, + "fos_buckling": 0.5798393715229446, + "fos_yielding": 3.928954499345151, + "deflection": 0.014977986806532218, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.171)" + }, + "parent_node_id": "node_2353", + "improvement_over_parent": null + }, + "node_2355": { + "node_id": "node_2355", + "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0021)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n\nPerformance:\n Mass: 156.87 kg\n Factor of Safety: 0.58\n Max Deflection: 1.69e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 156.8733472724779, + "fos_buckling": 0.5784594531491524, + "fos_yielding": 3.928108001025935, + "deflection": 0.016909739413156, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004606)" + }, + "parent_node_id": "node_2354", + "improvement_over_parent": null + }, + "node_2356": { + "node_id": "node_2356", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0021)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n M20: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n\nPerformance:\n Mass: 165.89 kg\n Factor of Safety: 1.07\n Max Deflection: 1.37e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.88831132547338, + "fos_buckling": 1.0692566061780837, + "fos_yielding": 3.9924731804882954, + "deflection": 0.013738519541262937, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.004522)" + }, + "parent_node_id": "node_2355", + "improvement_over_parent": null + }, + "node_2357": { + "node_id": "node_2357", + "content": "MODIFICATION: Increase 4 thickness by 64%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n M20: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n\nPerformance:\n Mass: 167.51 kg\n Factor of Safety: 1.30\n Max Deflection: 1.36e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 167.51165439298603, + "fos_buckling": 1.297057149264752, + "fos_yielding": 3.961881381607019, + "deflection": 0.013645491909007606, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.642)" + }, + "parent_node_id": "node_2356", + "improvement_over_parent": null + }, + "node_2358": { + "node_id": "node_2358", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M20: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n\nPerformance:\n Mass: 204.73 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.73319755380206, + "fos_buckling": 1.530637080888912, + "fos_yielding": 4.8373986133987, + "deflection": 0.011225401990512933, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.244)" + }, + "parent_node_id": "node_2357", + "improvement_over_parent": null + }, + "node_2359": { + "node_id": "node_2359", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2358", + "improvement_over_parent": null + }, + "node_2360": { + "node_id": "node_2360", + "content": "INITIAL DESIGN (Trace 337)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0022)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0026)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0030)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0028)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0017)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0027)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0029)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0023)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0023)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0010)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0008)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0022)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0025)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0019)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0014)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0023)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0024)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0026)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0032)]\n\nPerformance:\n Mass: 82.31 kg\n Factor of Safety: 0.48\n Max Deflection: 2.86e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 82.3089078376499, + "fos_buckling": 0.48170289718022646, + "fos_yielding": 2.111510018056706, + "deflection": 0.028626895452354636, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2361": { + "node_id": "node_2361", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0028)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0038)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0036)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0022)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0034)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0037)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0030)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0030)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0028)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0032)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0025)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0018)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0030)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0030)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0041)]\n\nPerformance:\n Mass: 104.09 kg\n Factor of Safety: 0.60\n Max Deflection: 2.27e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 104.08646671715816, + "fos_buckling": 0.5985442061319103, + "fos_yielding": 2.6682669313098297, + "deflection": 0.022682261223279692, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.277)" + }, + "parent_node_id": "node_2360", + "improvement_over_parent": null + }, + "node_2362": { + "node_id": "node_2362", + "content": "MODIFICATION: Increase 14 thickness by 51%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0028)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0038)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0036)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0022)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0034)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0037)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0030)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0030)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0028)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0032)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0025)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0027)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0030)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0030)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0041)]\n\nPerformance:\n Mass: 105.80 kg\n Factor of Safety: 0.60\n Max Deflection: 2.26e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 105.7986677553311, + "fos_buckling": 0.5988110353672514, + "fos_yielding": 2.6651263530255864, + "deflection": 0.022615343937300643, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.511)" + }, + "parent_node_id": "node_2361", + "improvement_over_parent": null + }, + "node_2363": { + "node_id": "node_2363", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n\nPerformance:\n Mass: 129.95 kg\n Factor of Safety: 0.72\n Max Deflection: 1.85e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 129.94538264277304, + "fos_buckling": 0.7213750832134685, + "fos_yielding": 3.2712241694293462, + "deflection": 0.018451686555531158, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.242)" + }, + "parent_node_id": "node_2362", + "improvement_over_parent": null + }, + "node_2364": { + "node_id": "node_2364", + "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n\nPerformance:\n Mass: 132.04 kg\n Factor of Safety: 0.72\n Max Deflection: 1.60e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 132.04386998010332, + "fos_buckling": 0.7211119670492987, + "fos_yielding": 3.2711270581937897, + "deflection": 0.015971927463465905, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.002721)" + }, + "parent_node_id": "node_2363", + "improvement_over_parent": null + }, + "node_2365": { + "node_id": "node_2365", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n\nPerformance:\n Mass: 153.47 kg\n Factor of Safety: 0.82\n Max Deflection: 1.38e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 153.46778321315506, + "fos_buckling": 0.8237080138024441, + "fos_yielding": 3.799644007670965, + "deflection": 0.01377154992701802, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.174)" + }, + "parent_node_id": "node_2364", + "improvement_over_parent": null + }, + "node_2366": { + "node_id": "node_2366", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n Mass: 196.11 kg\n Factor of Safety: 1.02\n Max Deflection: 1.08e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.10827385483142, + "fos_buckling": 1.0157813083901728, + "fos_yielding": 4.849730138246638, + "deflection": 0.010822765547157423, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.305)" + }, + "parent_node_id": "node_2365", + "improvement_over_parent": null + }, + "node_2367": { + "node_id": "node_2367", + "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n Mass: 204.72 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.7187628879053, + "fos_buckling": 1.5304848263756294, + "fos_yielding": 4.837012936835106, + "deflection": 0.01122609944960362, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)" + }, + "parent_node_id": "node_2366", + "improvement_over_parent": null + }, + "node_2368": { + "node_id": "node_2368", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2367", + "improvement_over_parent": null + }, + "node_2369": { + "node_id": "node_2369", + "content": "INITIAL DESIGN (Trace 338)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 184.28 kg\n Factor of Safety: 0.34\n Max Deflection: 3.00e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.28256495188222, + "fos_buckling": 0.33792504141611424, + "fos_yielding": 1.9450389753300394, + "deflection": 0.02996452190132855, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2370": { + "node_id": "node_2370", + "content": "MODIFICATION: Increase 5 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 188.27 kg\n Factor of Safety: 0.34\n Max Deflection: 2.89e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.27401997304088, + "fos_buckling": 0.3375864903838125, + "fos_yielding": 2.077174873982198, + "deflection": 0.028895817327287847, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.391)" + }, + "parent_node_id": "node_2369", + "improvement_over_parent": null + }, + "node_2371": { + "node_id": "node_2371", + "content": "MODIFICATION: Increase 15 thickness by 61%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 192.23 kg\n Factor of Safety: 0.34\n Max Deflection: 2.82e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.22590335324216, + "fos_buckling": 0.33725196341616, + "fos_yielding": 2.074154029496035, + "deflection": 0.02815355219021544, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.613)" + }, + "parent_node_id": "node_2370", + "improvement_over_parent": null + }, + "node_2372": { + "node_id": "node_2372", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n Mass: 204.71 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.7137104302589, + "fos_buckling": 1.5303850996677044, + "fos_yielding": 4.836791727779659, + "deflection": 0.011225427052035148, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.006468)" + }, + "parent_node_id": "node_2371", + "improvement_over_parent": null + }, + "node_2373": { + "node_id": "node_2373", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2372", + "improvement_over_parent": null + }, + "node_2374": { + "node_id": "node_2374", + "content": "INITIAL DESIGN (Trace 339)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0027)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0028)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n Mass: 147.01 kg\n Factor of Safety: 0.72\n Max Deflection: 1.66e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 147.00553313541695, + "fos_buckling": 0.7231204318852862, + "fos_yielding": 4.010428747532724, + "deflection": 0.016569426962070286, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2375": { + "node_id": "node_2375", + "content": "MODIFICATION: Increase 8 thickness by 43%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0027)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0028)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n Mass: 147.26 kg\n Factor of Safety: 0.72\n Max Deflection: 1.65e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 147.25584727622027, + "fos_buckling": 0.7247034286881338, + "fos_yielding": 4.010428747532722, + "deflection": 0.016548165138538806, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.429)" + }, + "parent_node_id": "node_2374", + "improvement_over_parent": null + }, + "node_2376": { + "node_id": "node_2376", + "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0027)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0028)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n\nPerformance:\n Mass: 149.68 kg\n Factor of Safety: 0.94\n Max Deflection: 1.57e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 149.67596912021418, + "fos_buckling": 0.9434716512227123, + "fos_yielding": 4.010428747532723, + "deflection": 0.015652883612761875, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003168)" + }, + "parent_node_id": "node_2375", + "improvement_over_parent": null + }, + "node_2377": { + "node_id": "node_2377", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n Mass: 192.87 kg\n Factor of Safety: 1.16\n Max Deflection: 1.22e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.87107818959308, + "fos_buckling": 1.1570136514575964, + "fos_yielding": 5.163630109705945, + "deflection": 0.012225310179687005, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.316)" + }, + "parent_node_id": "node_2376", + "improvement_over_parent": null + }, + "node_2378": { + "node_id": "node_2378", + "content": "MODIFICATION: Increase 15 thickness by 56%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0089)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n Mass: 198.32 kg\n Factor of Safety: 1.16\n Max Deflection: 1.25e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.31873353865186, + "fos_buckling": 1.1554550188720685, + "fos_yielding": 5.163630109705945, + "deflection": 0.012452284050780296, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.555)" + }, + "parent_node_id": "node_2377", + "improvement_over_parent": null + }, + "node_2379": { + "node_id": "node_2379", + "content": "MODIFICATION: Increase 14 thickness by 48%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0054)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0089)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n Mass: 201.56 kg\n Factor of Safety: 1.15\n Max Deflection: 1.22e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.56306001034486, + "fos_buckling": 1.153912105035486, + "fos_yielding": 5.163630109705944, + "deflection": 0.01216393528791287, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.484)" + }, + "parent_node_id": "node_2378", + "improvement_over_parent": null + }, + "node_2380": { + "node_id": "node_2380", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0054)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0089)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 206.87 kg\n Factor of Safety: 1.37\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.87110548733935, + "fos_buckling": 1.3692372933279693, + "fos_yielding": 4.846381941930855, + "deflection": 0.011539830495633405, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)" + }, + "parent_node_id": "node_2379", + "improvement_over_parent": null + }, + "node_2381": { + "node_id": "node_2381", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2380", + "improvement_over_parent": null + }, + "node_2382": { + "node_id": "node_2382", + "content": "INITIAL DESIGN (Trace 340)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0023)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0028)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0032)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0030)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0018)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0028)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0031)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0025)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0020)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0007)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0009)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0013)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0023)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0026)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0021)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0023)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0025)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0025)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0022)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0028)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0034)]\n\nPerformance:\n Mass: 92.84 kg\n Factor of Safety: 0.67\n Max Deflection: 2.42e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 92.84020288297911, + "fos_buckling": 0.6702431420401272, + "fos_yielding": 1.8266043266548708, + "deflection": 0.0242432466528588, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2383": { + "node_id": "node_2383", + "content": "MODIFICATION: Increase 8 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0023)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0028)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0032)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0030)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0018)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0028)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0031)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0025)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0025)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0007)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0009)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0013)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0023)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0026)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0021)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0023)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0025)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0025)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0022)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0028)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0034)]\n\nPerformance:\n Mass: 93.33 kg\n Factor of Safety: 0.67\n Max Deflection: 2.41e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 93.32775256798304, + "fos_buckling": 0.6743550602542482, + "fos_yielding": 2.2213121906952544, + "deflection": 0.02410633885105151, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.232)" + }, + "parent_node_id": "node_2382", + "improvement_over_parent": null + }, + "node_2384": { + "node_id": "node_2384", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0029)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0040)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0038)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0023)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0035)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0031)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0031)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0009)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0016)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0029)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0033)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0026)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0029)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0031)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0031)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0027)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0042)]\n\nPerformance:\n Mass: 116.00 kg\n Factor of Safety: 0.83\n Max Deflection: 1.95e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 116.00460602696997, + "fos_buckling": 0.8293131917364214, + "fos_yielding": 2.759274868517269, + "deflection": 0.019459477312326185, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.255)" + }, + "parent_node_id": "node_2383", + "improvement_over_parent": null + }, + "node_2385": { + "node_id": "node_2385", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0012)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0021)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0040)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0054)]\n\nPerformance:\n Mass: 146.40 kg\n Factor of Safety: 1.03\n Max Deflection: 1.55e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 146.39990079572664, + "fos_buckling": 1.0314536619920986, + "fos_yielding": 3.4792523121464165, + "deflection": 0.01548894709967494, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.279)" + }, + "parent_node_id": "node_2384", + "improvement_over_parent": null + }, + "node_2386": { + "node_id": "node_2386", + "content": "MODIFICATION: Increase 11 thickness by 38%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0012)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0040)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0054)]\n\nPerformance:\n Mass: 146.99 kg\n Factor of Safety: 1.16\n Max Deflection: 1.55e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 146.99273081182716, + "fos_buckling": 1.1616811304756267, + "fos_yielding": 3.478498548920336, + "deflection": 0.015471365200861158, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.383)" + }, + "parent_node_id": "node_2385", + "improvement_over_parent": null + }, + "node_2387": { + "node_id": "node_2387", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n\nPerformance:\n Mass: 173.13 kg\n Factor of Safety: 1.34\n Max Deflection: 1.32e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.13332009178546, + "fos_buckling": 1.3355691795738647, + "fos_yielding": 4.09423744213107, + "deflection": 0.013185992991295437, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.192)" + }, + "parent_node_id": "node_2386", + "improvement_over_parent": null + }, + "node_2388": { + "node_id": "node_2388", + "content": "MODIFICATION: Increase 9 thickness by 47%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n\nPerformance:\n Mass: 173.42 kg\n Factor of Safety: 1.34\n Max Deflection: 1.32e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.42426126887946, + "fos_buckling": 1.3354419508622166, + "fos_yielding": 4.100791375348361, + "deflection": 0.01319130976499021, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.473)" + }, + "parent_node_id": "node_2387", + "improvement_over_parent": null + }, + "node_2389": { + "node_id": "node_2389", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.84 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.84239042210714, + "fos_buckling": 1.5312590892540687, + "fos_yielding": 4.839637478515864, + "deflection": 0.011219303435007821, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.199)" + }, + "parent_node_id": "node_2388", + "improvement_over_parent": null + }, + "node_2390": { + "node_id": "node_2390", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2389", + "improvement_over_parent": null + }, + "node_2391": { + "node_id": "node_2391", + "content": "INITIAL DESIGN (Trace 341)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0038)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n\nPerformance:\n Mass: 116.75 kg\n Factor of Safety: 0.17\n Max Deflection: 1.99e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 116.74947914722384, + "fos_buckling": 0.17254410427311023, + "fos_yielding": 3.193964112577572, + "deflection": 0.01989249854742136, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2392": { + "node_id": "node_2392", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nPerformance:\n Mass: 151.69 kg\n Factor of Safety: 0.22\n Max Deflection: 1.54e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 151.6868737563298, + "fos_buckling": 0.2168649813509611, + "fos_yielding": 4.144475963523092, + "deflection": 0.015359727012180842, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.323)" + }, + "parent_node_id": "node_2391", + "improvement_over_parent": null + }, + "node_2393": { + "node_id": "node_2393", + "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n\nPerformance:\n Mass: 163.62 kg\n Factor of Safety: 0.22\n Max Deflection: 1.38e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.61517502061776, + "fos_buckling": 0.21664934309625988, + "fos_yielding": 4.144099308496603, + "deflection": 0.013750597618241768, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.005350)" + }, + "parent_node_id": "node_2392", + "improvement_over_parent": null + }, + "node_2394": { + "node_id": "node_2394", + "content": "MODIFICATION: Increase 2 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n\nPerformance:\n Mass: 166.16 kg\n Factor of Safety: 0.22\n Max Deflection: 1.35e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.15909009397836, + "fos_buckling": 0.21684520279341893, + "fos_yielding": 4.143883701367886, + "deflection": 0.013488357800840338, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.245)" + }, + "parent_node_id": "node_2393", + "improvement_over_parent": null + }, + "node_2395": { + "node_id": "node_2395", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n Mass: 193.53 kg\n Factor of Safety: 0.25\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.5330970366811, + "fos_buckling": 0.24650461847548977, + "fos_yielding": 4.823028777501933, + "deflection": 0.011608541659512058, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.181)" + }, + "parent_node_id": "node_2394", + "improvement_over_parent": null + }, + "node_2396": { + "node_id": "node_2396", + "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n Mass: 204.96 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.96029720272074, + "fos_buckling": 1.5319757330749606, + "fos_yielding": 4.843523884391489, + "deflection": 0.011210984549868455, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.005728)" + }, + "parent_node_id": "node_2395", + "improvement_over_parent": null + }, + "node_2397": { + "node_id": "node_2397", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2396", + "improvement_over_parent": null + }, + "node_2398": { + "node_id": "node_2398", + "content": "INITIAL DESIGN (Trace 342)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0028)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0039)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0036)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0022)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0034)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0030)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0030)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0022)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0028)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0032)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0025)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0027)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0030)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0030)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0026)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0041)]\n\nPerformance:\n Mass: 111.89 kg\n Factor of Safety: 0.91\n Max Deflection: 2.04e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 111.8947065092517, + "fos_buckling": 0.9130402165312616, + "fos_yielding": 2.66205338920013, + "deflection": 0.020409569580894772, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2399": { + "node_id": "node_2399", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0028)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0039)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0036)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0022)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0034)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0030)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0030)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0022)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0028)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0032)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0025)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0027)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0030)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0030)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0026)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0041)]\n M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n\nPerformance:\n Mass: 112.29 kg\n Factor of Safety: 0.91\n Max Deflection: 2.02e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 112.2872898019909, + "fos_buckling": 0.9141898744950968, + "fos_yielding": 2.659778488153552, + "deflection": 0.02019162674930751, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001050)" + }, + "parent_node_id": "node_2398", + "improvement_over_parent": null + }, + "node_2400": { + "node_id": "node_2400", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n\nPerformance:\n Mass: 137.81 kg\n Factor of Safety: 1.10\n Max Deflection: 1.65e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 137.80936372823635, + "fos_buckling": 1.096530962763082, + "fos_yielding": 3.2620911073227896, + "deflection": 0.016514038681604497, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.241)" + }, + "parent_node_id": "node_2399", + "improvement_over_parent": null + }, + "node_2401": { + "node_id": "node_2401", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n\nPerformance:\n Mass: 175.44 kg\n Factor of Safety: 1.35\n Max Deflection: 1.30e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.43529863042897, + "fos_buckling": 1.3483840176020914, + "fos_yielding": 4.148547857783136, + "deflection": 0.013043890360655036, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.295)" + }, + "parent_node_id": "node_2400", + "improvement_over_parent": null + }, + "node_2402": { + "node_id": "node_2402", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n Mass: 204.66 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.66246246113383, + "fos_buckling": 1.5301659977201427, + "fos_yielding": 4.835898872513724, + "deflection": 0.01122884307582112, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.183)" + }, + "parent_node_id": "node_2401", + "improvement_over_parent": null + }, + "node_2403": { + "node_id": "node_2403", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2402", + "improvement_over_parent": null + }, + "node_2404": { + "node_id": "node_2404", + "content": "INITIAL DESIGN (Trace 343)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0053)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0050)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0047)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0041)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0039)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0042)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0044)]\n\nPerformance:\n Mass: 141.68 kg\n Factor of Safety: 0.33\n Max Deflection: 1.79e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 141.6796189974278, + "fos_buckling": 0.33122888870537825, + "fos_yielding": 3.8379235724954466, + "deflection": 0.017868893152118693, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2405": { + "node_id": "node_2405", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0053)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0050)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0047)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0041)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0039)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0042)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0044)]\n M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n\nPerformance:\n Mass: 142.52 kg\n Factor of Safety: 0.91\n Max Deflection: 1.61e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 142.5169282818242, + "fos_buckling": 0.9081367800194409, + "fos_yielding": 3.8379235724954466, + "deflection": 0.016143202583142172, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.001817)" + }, + "parent_node_id": "node_2404", + "improvement_over_parent": null + }, + "node_2406": { + "node_id": "node_2406", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0053)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0050)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0047)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0041)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0039)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0042)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0044)]\n M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n\nPerformance:\n Mass: 148.30 kg\n Factor of Safety: 1.03\n Max Deflection: 1.53e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 148.29955826848774, + "fos_buckling": 1.0265789684305309, + "fos_yielding": 3.611410344936072, + "deflection": 0.015339824482149277, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003427)" + }, + "parent_node_id": "node_2405", + "improvement_over_parent": null + }, + "node_2407": { + "node_id": "node_2407", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n\nPerformance:\n Mass: 175.99 kg\n Factor of Safety: 1.20\n Max Deflection: 1.30e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.9935613836619, + "fos_buckling": 1.1950473703266307, + "fos_yielding": 4.281254392637446, + "deflection": 0.0129783970809384, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.202)" + }, + "parent_node_id": "node_2406", + "improvement_over_parent": null + }, + "node_2408": { + "node_id": "node_2408", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n Mass: 199.59 kg\n Factor of Safety: 1.33\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.5946250943824, + "fos_buckling": 1.3328377964106966, + "fos_yielding": 4.8508980412118685, + "deflection": 0.011483152147503367, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.147)" + }, + "parent_node_id": "node_2407", + "improvement_over_parent": null + }, + "node_2409": { + "node_id": "node_2409", + "content": "MODIFICATION: Increase 20 thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0060)]\n\nPerformance:\n Mass: 201.45 kg\n Factor of Safety: 1.33\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.44571782549204, + "fos_buckling": 1.3327472898809807, + "fos_yielding": 4.833669059313441, + "deflection": 0.011450164820869586, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(20, thickness, 1.269)" + }, + "parent_node_id": "node_2408", + "improvement_over_parent": null + }, + "node_2410": { + "node_id": "node_2410", + "content": "MODIFICATION: Increase 4 thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0060)]\n\nPerformance:\n Mass: 202.39 kg\n Factor of Safety: 1.33\n Max Deflection: 1.14e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.3940410692651, + "fos_buckling": 1.33268522005119, + "fos_yielding": 4.817074787792108, + "deflection": 0.011416331445691163, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.239)" + }, + "parent_node_id": "node_2409", + "improvement_over_parent": null + }, + "node_2411": { + "node_id": "node_2411", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2410", + "improvement_over_parent": null + }, + "node_2412": { + "node_id": "node_2412", + "content": "INITIAL DESIGN (Trace 344)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n\nPerformance:\n Mass: 157.23 kg\n Factor of Safety: 0.38\n Max Deflection: 1.74e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.23101680434584, + "fos_buckling": 0.38245450849842105, + "fos_yielding": 3.4012416752881443, + "deflection": 0.017404467139252033, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2413": { + "node_id": "node_2413", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 191.46 kg\n Factor of Safety: 0.45\n Max Deflection: 1.44e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.46285367457315, + "fos_buckling": 0.4477228312617414, + "fos_yielding": 4.134350113475012, + "deflection": 0.014370532153774084, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.239)" + }, + "parent_node_id": "node_2412", + "improvement_over_parent": null + }, + "node_2414": { + "node_id": "node_2414", + "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n\nPerformance:\n Mass: 202.00 kg\n Factor of Safety: 1.41\n Max Deflection: 1.13e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.99764384804055, + "fos_buckling": 1.4072448818320908, + "fos_yielding": 4.809584763670317, + "deflection": 0.011340893896117001, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.004963)" + }, + "parent_node_id": "node_2413", + "improvement_over_parent": null + }, + "node_2415": { + "node_id": "node_2415", + "content": "MODIFICATION: Increase 13 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0057)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n\nPerformance:\n Mass: 203.45 kg\n Factor of Safety: 1.43\n Max Deflection: 1.13e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.44503263443835, + "fos_buckling": 1.4343777390343675, + "fos_yielding": 4.79379501421703, + "deflection": 0.011306446302026773, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.209)" + }, + "parent_node_id": "node_2414", + "improvement_over_parent": null + }, + "node_2416": { + "node_id": "node_2416", + "content": "MODIFICATION: Increase 11 thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0057)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n\nPerformance:\n Mass: 204.12 kg\n Factor of Safety: 1.44\n Max Deflection: 1.13e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.12079181699013, + "fos_buckling": 1.4353652271992927, + "fos_yielding": 4.793143458397373, + "deflection": 0.011296923011980275, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.304)" + }, + "parent_node_id": "node_2415", + "improvement_over_parent": null + }, + "node_2417": { + "node_id": "node_2417", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2416", + "improvement_over_parent": null + }, + "node_2418": { + "node_id": "node_2418", + "content": "INITIAL DESIGN (Trace 345)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0057)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0066)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0062)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0054)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0045)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0057)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n\nPerformance:\n Mass: 180.24 kg\n Factor of Safety: 1.07\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.24027265495283, + "fos_buckling": 1.0652530700435678, + "fos_yielding": 4.665957200306535, + "deflection": 0.013089880486744856, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2419": { + "node_id": "node_2419", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0057)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0066)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0062)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0054)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0045)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0057)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n\nPerformance:\n Mass: 183.98 kg\n Factor of Safety: 1.33\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.97962585425168, + "fos_buckling": 1.3250834185715272, + "fos_yielding": 4.391723440164193, + "deflection": 0.01242690302601647, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.002888)" + }, + "parent_node_id": "node_2418", + "improvement_over_parent": null + }, + "node_2420": { + "node_id": "node_2420", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n\nPerformance:\n Mass: 203.58 kg\n Factor of Safety: 1.44\n Max Deflection: 1.13e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.576234941624, + "fos_buckling": 1.440365811512973, + "fos_yielding": 4.856673018588049, + "deflection": 0.011263089562530448, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.117)" + }, + "parent_node_id": "node_2419", + "improvement_over_parent": null + }, + "node_2421": { + "node_id": "node_2421", + "content": "MODIFICATION: Increase 4 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0085)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n\nPerformance:\n Mass: 206.95 kg\n Factor of Safety: 1.47\n Max Deflection: 1.09e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.95498330939424, + "fos_buckling": 1.4652397359305485, + "fos_yielding": 4.8615304856756865, + "deflection": 0.010880986781821844, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.307)" + }, + "parent_node_id": "node_2420", + "improvement_over_parent": null + }, + "node_2422": { + "node_id": "node_2422", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2421", + "improvement_over_parent": null + }, + "node_2423": { + "node_id": "node_2423", + "content": "INITIAL DESIGN (Trace 346)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0017)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0020)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0023)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0014)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0013)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0020)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0023)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0018)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0018)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0008)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0006)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0013)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0017)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0019)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0015)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0017)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0018)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0018)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0016)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0015)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0025)]\n\nPerformance:\n Mass: 66.16 kg\n Factor of Safety: 0.58\n Max Deflection: 3.42e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 66.15551633630291, + "fos_buckling": 0.5800352443700931, + "fos_yielding": 1.633387737067941, + "deflection": 0.034186249260601334, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2424": { + "node_id": "node_2424", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0022)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0027)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0031)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0019)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0018)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0027)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0030)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0024)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0024)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0011)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0008)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0017)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0023)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0025)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0020)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0022)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0024)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0024)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0021)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0020)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0032)]\n\nPerformance:\n Mass: 86.91 kg\n Factor of Safety: 0.75\n Max Deflection: 2.61e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 86.906622410686, + "fos_buckling": 0.7498091384172849, + "fos_yielding": 2.1439363747538582, + "deflection": 0.026100034462043516, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.325)" + }, + "parent_node_id": "node_2423", + "improvement_over_parent": null + }, + "node_2425": { + "node_id": "node_2425", + "content": "MODIFICATION: Increase 3 thickness by 56%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0022)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0027)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0031)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0029)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0018)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0027)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0030)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0024)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0024)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0011)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0008)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0017)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0023)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0025)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0020)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0022)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0024)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0024)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0021)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0020)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0032)]\n\nPerformance:\n Mass: 89.10 kg\n Factor of Safety: 0.73\n Max Deflection: 2.52e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 89.10351632049175, + "fos_buckling": 0.7288559916842037, + "fos_yielding": 2.1437581147412743, + "deflection": 0.02517831128282677, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.558)" + }, + "parent_node_id": "node_2424", + "improvement_over_parent": null + }, + "node_2426": { + "node_id": "node_2426", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0028)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0039)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0036)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0022)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0034)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0030)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0030)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0022)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0028)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0032)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0025)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0028)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0030)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0030)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0026)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0026)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0041)]\n\nPerformance:\n Mass: 110.89 kg\n Factor of Safety: 0.89\n Max Deflection: 2.03e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 110.8885294622631, + "fos_buckling": 0.8896508977957652, + "fos_yielding": 2.6660003347701426, + "deflection": 0.020298201802646826, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.256)" + }, + "parent_node_id": "node_2425", + "improvement_over_parent": null + }, + "node_2427": { + "node_id": "node_2427", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0049)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0046)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0040)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0052)]\n\nPerformance:\n Mass: 139.72 kg\n Factor of Safety: 1.09\n Max Deflection: 1.62e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 139.7218619741458, + "fos_buckling": 1.0920756306571957, + "fos_yielding": 3.356049641571799, + "deflection": 0.01617920255624162, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.276)" + }, + "parent_node_id": "node_2426", + "improvement_over_parent": null + }, + "node_2428": { + "node_id": "node_2428", + "content": "MODIFICATION: Increase 19 thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0049)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0046)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0040)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0052)]\n\nPerformance:\n Mass: 141.81 kg\n Factor of Safety: 1.12\n Max Deflection: 1.61e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 141.80803990251482, + "fos_buckling": 1.12414561119225, + "fos_yielding": 3.3560895299615856, + "deflection": 0.016058178601046847, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(19, thickness, 1.294)" + }, + "parent_node_id": "node_2427", + "improvement_over_parent": null + }, + "node_2429": { + "node_id": "node_2429", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nPerformance:\n Mass: 177.47 kg\n Factor of Safety: 1.36\n Max Deflection: 1.29e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.4658786127553, + "fos_buckling": 1.361278731781092, + "fos_yielding": 4.195976033281846, + "deflection": 0.01289876216530029, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.272)" + }, + "parent_node_id": "node_2428", + "improvement_over_parent": null + }, + "node_2430": { + "node_id": "node_2430", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.92 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.92466911148568, + "fos_buckling": 1.5316074571590943, + "fos_yielding": 4.841650684410296, + "deflection": 0.011215158206924954, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.170)" + }, + "parent_node_id": "node_2429", + "improvement_over_parent": null + }, + "node_2431": { + "node_id": "node_2431", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2430", + "improvement_over_parent": null + }, + "node_2432": { + "node_id": "node_2432", + "content": "INITIAL DESIGN (Trace 347)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0030)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0041)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0038)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0023)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0036)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0031)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0032)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0023)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0030)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0033)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0029)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0032)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0043)]\n\nPerformance:\n Mass: 107.30 kg\n Factor of Safety: 0.43\n Max Deflection: 2.54e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 107.30080415889586, + "fos_buckling": 0.4270001286706237, + "fos_yielding": 2.386861369063901, + "deflection": 0.025447358269633437, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2433": { + "node_id": "node_2433", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n Mass: 130.51 kg\n Factor of Safety: 0.51\n Max Deflection: 2.10e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 130.50872708798215, + "fos_buckling": 0.5072703593063225, + "fos_yielding": 2.8923860686357905, + "deflection": 0.020992323401662072, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.230)" + }, + "parent_node_id": "node_2432", + "improvement_over_parent": null + }, + "node_2434": { + "node_id": "node_2434", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n\nPerformance:\n Mass: 138.24 kg\n Factor of Safety: 0.87\n Max Deflection: 1.67e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 138.24320249537124, + "fos_buckling": 0.8650646660174003, + "fos_yielding": 3.6249977708856247, + "deflection": 0.01674493145469253, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.003838)" + }, + "parent_node_id": "node_2433", + "improvement_over_parent": null + }, + "node_2435": { + "node_id": "node_2435", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n\nPerformance:\n Mass: 162.62 kg\n Factor of Safety: 0.99\n Max Deflection: 1.43e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.62499285795795, + "fos_buckling": 0.9906293232269774, + "fos_yielding": 4.2638542984936825, + "deflection": 0.01428927959623042, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.190)" + }, + "parent_node_id": "node_2434", + "improvement_over_parent": null + }, + "node_2436": { + "node_id": "node_2436", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n\nPerformance:\n Mass: 196.98 kg\n Factor of Safety: 1.15\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.9805796875823, + "fos_buckling": 1.154416491168438, + "fos_yielding": 5.163802199685193, + "deflection": 0.011860886700523795, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.232)" + }, + "parent_node_id": "node_2435", + "improvement_over_parent": null + }, + "node_2437": { + "node_id": "node_2437", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n Mass: 204.76 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.76222819983477, + "fos_buckling": 1.5307627906258676, + "fos_yielding": 4.838255476249419, + "deflection": 0.011223484068342742, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004727)" + }, + "parent_node_id": "node_2436", + "improvement_over_parent": null + }, + "node_2438": { + "node_id": "node_2438", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2437", + "improvement_over_parent": null + }, + "node_2439": { + "node_id": "node_2439", + "content": "INITIAL DESIGN (Trace 348)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0017)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0029)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n\nPerformance:\n Mass: 118.37 kg\n Factor of Safety: 0.64\n Max Deflection: 2.00e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 118.37364265555709, + "fos_buckling": 0.6418092162846784, + "fos_yielding": 3.4411805029760436, + "deflection": 0.01999340498680869, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2440": { + "node_id": "node_2440", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0021)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n Mass: 139.60 kg\n Factor of Safety: 0.74\n Max Deflection: 1.70e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 139.60436478533597, + "fos_buckling": 0.7436120737890168, + "fos_yielding": 4.056561880375685, + "deflection": 0.017012838644473654, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.192)" + }, + "parent_node_id": "node_2439", + "improvement_over_parent": null + }, + "node_2441": { + "node_id": "node_2441", + "content": "MODIFICATION: Increase 6 thickness by 45%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0030)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n Mass: 141.19 kg\n Factor of Safety: 0.74\n Max Deflection: 1.70e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 141.18697209173774, + "fos_buckling": 0.7435141051843372, + "fos_yielding": 4.056561880375685, + "deflection": 0.017015103486174788, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.451)" + }, + "parent_node_id": "node_2440", + "improvement_over_parent": null + }, + "node_2442": { + "node_id": "node_2442", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0030)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n\nPerformance:\n Mass: 145.36 kg\n Factor of Safety: 0.90\n Max Deflection: 1.59e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 145.3583256391096, + "fos_buckling": 0.8960994001156435, + "fos_yielding": 3.7689681697043835, + "deflection": 0.015876758910507344, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003246)" + }, + "parent_node_id": "node_2441", + "improvement_over_parent": null + }, + "node_2443": { + "node_id": "node_2443", + "content": "MODIFICATION: Increase 13 thickness by 35%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0030)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0049)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n\nPerformance:\n Mass: 147.28 kg\n Factor of Safety: 0.90\n Max Deflection: 1.58e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 147.27874872224987, + "fos_buckling": 0.8960506192452309, + "fos_yielding": 3.74946340262357, + "deflection": 0.015801826077215916, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.346)" + }, + "parent_node_id": "node_2442", + "improvement_over_parent": null + }, + "node_2444": { + "node_id": "node_2444", + "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0030)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0049)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n\nPerformance:\n Mass: 158.19 kg\n Factor of Safety: 1.11\n Max Deflection: 1.45e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 158.19204293018132, + "fos_buckling": 1.1064770101431656, + "fos_yielding": 3.7503798411029345, + "deflection": 0.014464216697573012, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.004861)" + }, + "parent_node_id": "node_2443", + "improvement_over_parent": null + }, + "node_2445": { + "node_id": "node_2445", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0064)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n Mass: 201.30 kg\n Factor of Safety: 1.36\n Max Deflection: 1.14e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.29804010028812, + "fos_buckling": 1.3559934411679389, + "fos_yielding": 4.767230610303351, + "deflection": 0.011435846396372134, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.299)" + }, + "parent_node_id": "node_2444", + "improvement_over_parent": null + }, + "node_2446": { + "node_id": "node_2446", + "content": "MODIFICATION: Increase 7 thickness by 44%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0082)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0064)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n Mass: 203.54 kg\n Factor of Safety: 1.23\n Max Deflection: 1.13e-02 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.53951003280923, + "fos_buckling": 1.2289928587737329, + "fos_yielding": 5.660268094789893, + "deflection": 0.011340515320989958, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.443)" + }, + "parent_node_id": "node_2445", + "improvement_over_parent": null + }, + "node_2447": { + "node_id": "node_2447", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2446", + "improvement_over_parent": null + }, + "node_2448": { + "node_id": "node_2448", + "content": "INITIAL DESIGN (Trace 349)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0027)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0025)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n\nPerformance:\n Mass: 119.73 kg\n Factor of Safety: 0.10\n Max Deflection: 8.67e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 119.73195230660482, + "fos_buckling": 0.09755360745111201, + "fos_yielding": 1.4404633979919022, + "deflection": 0.08666138199059772, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2449": { + "node_id": "node_2449", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0027)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0025)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n\nPerformance:\n Mass: 120.20 kg\n Factor of Safety: 0.19\n Max Deflection: 5.15e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 120.20223335648342, + "fos_buckling": 0.1947041562054531, + "fos_yielding": 0.9230826761619148, + "deflection": 0.051542606496134825, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001270)" + }, + "parent_node_id": "node_2448", + "improvement_over_parent": null + }, + "node_2450": { + "node_id": "node_2450", + "content": "MODIFICATION: Increase 7 thickness by 35%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0025)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n\nPerformance:\n Mass: 121.14 kg\n Factor of Safety: 0.19\n Max Deflection: 5.14e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 121.14490837948077, + "fos_buckling": 0.19470415620545273, + "fos_yielding": 0.9204070494082133, + "deflection": 0.05142519161280728, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.346)" + }, + "parent_node_id": "node_2449", + "improvement_over_parent": null + }, + "node_2451": { + "node_id": "node_2451", + "content": "MODIFICATION: Increase 18 thickness by 60%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0025)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0079)]\n M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n\nPerformance:\n Mass: 128.66 kg\n Factor of Safety: 0.19\n Max Deflection: 5.10e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 128.65980743160355, + "fos_buckling": 0.1945805878063679, + "fos_yielding": 0.9198151664587648, + "deflection": 0.050991367273026125, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(18, thickness, 1.603)" + }, + "parent_node_id": "node_2450", + "improvement_over_parent": null + }, + "node_2452": { + "node_id": "node_2452", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0031)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0097)]\n M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n\nPerformance:\n Mass: 155.91 kg\n Factor of Safety: 0.23\n Max Deflection: 4.22e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 155.91322742153284, + "fos_buckling": 0.22950721241544908, + "fos_yielding": 1.1124019452042038, + "deflection": 0.0421767574698874, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.229)" + }, + "parent_node_id": "node_2451", + "improvement_over_parent": null + }, + "node_2453": { + "node_id": "node_2453", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0124)]\n M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n Mass: 195.32 kg\n Factor of Safety: 0.28\n Max Deflection: 3.38e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.31869571200141, + "fos_buckling": 0.27620256338823385, + "fos_yielding": 1.3896758939413996, + "deflection": 0.03377727387997824, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.280)" + }, + "parent_node_id": "node_2452", + "improvement_over_parent": null + }, + "node_2454": { + "node_id": "node_2454", + "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0124)]\n M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 210.50 kg\n Factor of Safety: 1.57\n Max Deflection: 1.10e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 210.50324972690282, + "fos_buckling": 1.5730007488105457, + "fos_yielding": 4.8372538147447015, + "deflection": 0.01099465425901297, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)" + }, + "parent_node_id": "node_2453", + "improvement_over_parent": null + }, + "node_2455": { + "node_id": "node_2455", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2454", + "improvement_over_parent": null + }, + "node_2456": { + "node_id": "node_2456", + "content": "INITIAL DESIGN (Trace 350)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0028)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0039)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0036)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0034)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0030)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0030)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0022)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0028)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0024)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0025)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0028)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0030)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0030)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0026)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0041)]\n\nPerformance:\n Mass: 107.35 kg\n Factor of Safety: 0.25\n Max Deflection: 2.43e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 107.35081306746761, + "fos_buckling": 0.24907242658890189, + "fos_yielding": 2.8351552731504963, + "deflection": 0.024276587651295048, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2457": { + "node_id": "node_2457", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0043)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0038)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0033)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0027)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0028)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0033)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0034)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0029)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0046)]\n\nPerformance:\n Mass: 119.78 kg\n Factor of Safety: 0.27\n Max Deflection: 2.18e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 119.78139144996297, + "fos_buckling": 0.27377785368644475, + "fos_yielding": 3.163016156587821, + "deflection": 0.02180267624974769, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.122)" + }, + "parent_node_id": "node_2456", + "improvement_over_parent": null + }, + "node_2458": { + "node_id": "node_2458", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0046)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0043)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0031)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n\nPerformance:\n Mass: 133.33 kg\n Factor of Safety: 0.30\n Max Deflection: 1.96e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 133.3316832886867, + "fos_buckling": 0.29977617569271214, + "fos_yielding": 3.520301426420295, + "deflection": 0.01963135611720292, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.120)" + }, + "parent_node_id": "node_2457", + "improvement_over_parent": null + }, + "node_2459": { + "node_id": "node_2459", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n Mass: 172.87 kg\n Factor of Safety: 0.37\n Max Deflection: 1.52e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.87207290588782, + "fos_buckling": 0.37020533425935903, + "fos_yielding": 4.562208332482173, + "deflection": 0.015240936919966584, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.321)" + }, + "parent_node_id": "node_2458", + "improvement_over_parent": null + }, + "node_2460": { + "node_id": "node_2460", + "content": "MODIFICATION: Increase 11 thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n Mass: 175.24 kg\n Factor of Safety: 0.37\n Max Deflection: 1.49e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.2382743915378, + "fos_buckling": 0.37030201530418383, + "fos_yielding": 4.562208332482173, + "deflection": 0.014871400161912768, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.294)" + }, + "parent_node_id": "node_2459", + "improvement_over_parent": null + }, + "node_2461": { + "node_id": "node_2461", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n\nPerformance:\n Mass: 176.23 kg\n Factor of Safety: 1.05\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.2337249568478, + "fos_buckling": 1.0466130132706093, + "fos_yielding": 4.562208332482173, + "deflection": 0.013378816880990156, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002189)" + }, + "parent_node_id": "node_2460", + "improvement_over_parent": null + }, + "node_2462": { + "node_id": "node_2462", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n\nPerformance:\n Mass: 180.92 kg\n Factor of Safety: 1.38\n Max Deflection: 1.27e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.924154164305, + "fos_buckling": 1.3834149086482328, + "fos_yielding": 4.2776772196329595, + "deflection": 0.012658316765113075, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003684)" + }, + "parent_node_id": "node_2461", + "improvement_over_parent": null + }, + "node_2463": { + "node_id": "node_2463", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 204.64 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.63643714889986, + "fos_buckling": 1.5299793467131968, + "fos_yielding": 4.835246286850146, + "deflection": 0.011230241785497376, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.144)" + }, + "parent_node_id": "node_2462", + "improvement_over_parent": null + }, + "node_2464": { + "node_id": "node_2464", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2463", + "improvement_over_parent": null + }, + "node_2465": { + "node_id": "node_2465", + "content": "INITIAL DESIGN (Trace 351)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0043)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 0, + "fos_buckling": 0, + "fos_yielding": 0, + "deflection": Infinity, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2466": { + "node_id": "node_2466", + "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0043)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n\nPerformance:\n Mass: 160.09 kg\n Factor of Safety: 0.94\n Max Deflection: 1.54e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 160.0856186194234, + "fos_buckling": 0.9414806607322984, + "fos_yielding": 4.033479910237244, + "deflection": 0.015367644141852078, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.005177)" + }, + "parent_node_id": "node_2465", + "improvement_over_parent": null + }, + "node_2467": { + "node_id": "node_2467", + "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0043)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n\nPerformance:\n Mass: 167.97 kg\n Factor of Safety: 1.33\n Max Deflection: 1.37e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 167.9726938088638, + "fos_buckling": 1.3290810946215048, + "fos_yielding": 4.034899599253559, + "deflection": 0.013652553065308505, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.004617)" + }, + "parent_node_id": "node_2466", + "improvement_over_parent": null + }, + "node_2468": { + "node_id": "node_2468", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n Mass: 201.67 kg\n Factor of Safety: 1.55\n Max Deflection: 1.14e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 201.66504706533715, + "fos_buckling": 1.5455375247954786, + "fos_yielding": 4.838730356079489, + "deflection": 0.011426330129458429, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.220)" + }, + "parent_node_id": "node_2467", + "improvement_over_parent": null + }, + "node_2469": { + "node_id": "node_2469", + "content": "MODIFICATION: Increase 3 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n Mass: 204.77 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.77029605497853, + "fos_buckling": 1.5308042991532205, + "fos_yielding": 4.838436100623994, + "deflection": 0.011223084912371731, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.307)" + }, + "parent_node_id": "node_2468", + "improvement_over_parent": null + }, + "node_2470": { + "node_id": "node_2470", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2469", + "improvement_over_parent": null + }, + "node_2471": { + "node_id": "node_2471", + "content": "INITIAL DESIGN (Trace 352)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0023)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0027)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0032)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0030)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0018)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0028)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0031)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0024)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0025)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0011)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0009)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0023)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0026)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0021)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0023)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0024)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0025)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0027)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0034)]\n\nPerformance:\n Mass: 88.19 kg\n Factor of Safety: 0.51\n Max Deflection: 2.71e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 88.19200294910999, + "fos_buckling": 0.5061371931782899, + "fos_yielding": 2.222779026450878, + "deflection": 0.02708764305738774, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2472": { + "node_id": "node_2472", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0027)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0032)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0037)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0035)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0022)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0033)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0036)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0029)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0029)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0027)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0031)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0024)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0027)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0029)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0029)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0032)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0040)]\n\nPerformance:\n Mass: 102.94 kg\n Factor of Safety: 0.58\n Max Deflection: 2.32e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 102.94403173556752, + "fos_buckling": 0.5839942161943315, + "fos_yielding": 2.593534148863711, + "deflection": 0.023235849253713706, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.175)" + }, + "parent_node_id": "node_2471", + "improvement_over_parent": null + }, + "node_2473": { + "node_id": "node_2473", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0043)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0038)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0035)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0028)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0033)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0034)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0046)]\n\nPerformance:\n Mass: 117.89 kg\n Factor of Safety: 0.66\n Max Deflection: 2.03e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 117.88717384812169, + "fos_buckling": 0.6608546584320725, + "fos_yielding": 2.968785747865109, + "deflection": 0.020316971843405782, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.153)" + }, + "parent_node_id": "node_2472", + "improvement_over_parent": null + }, + "node_2474": { + "node_id": "node_2474", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n Mass: 151.42 kg\n Factor of Safety: 0.83\n Max Deflection: 1.59e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 151.42128485180174, + "fos_buckling": 0.8259589112289961, + "fos_yielding": 3.8097714710749666, + "deflection": 0.015863743418627608, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.305)" + }, + "parent_node_id": "node_2473", + "improvement_over_parent": null + }, + "node_2475": { + "node_id": "node_2475", + "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n\nPerformance:\n Mass: 153.87 kg\n Factor of Safety: 0.83\n Max Deflection: 1.37e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 153.86915957447044, + "fos_buckling": 0.8256069731695155, + "fos_yielding": 3.809639623576922, + "deflection": 0.013735744684167097, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003207)" + }, + "parent_node_id": "node_2474", + "improvement_over_parent": null + }, + "node_2476": { + "node_id": "node_2476", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n Mass: 195.79 kg\n Factor of Safety: 1.01\n Max Deflection: 1.08e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.78675044046085, + "fos_buckling": 1.0144108504111897, + "fos_yielding": 4.841945214038725, + "deflection": 0.010839864895531648, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.299)" + }, + "parent_node_id": "node_2475", + "improvement_over_parent": null + }, + "node_2477": { + "node_id": "node_2477", + "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n Mass: 204.40 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.39723947353474, + "fos_buckling": 1.5285536187681268, + "fos_yielding": 4.829242779176109, + "deflection": 0.011244113760879783, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)" + }, + "parent_node_id": "node_2476", + "improvement_over_parent": null + }, + "node_2478": { + "node_id": "node_2478", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2477", + "improvement_over_parent": null + }, + "node_2479": { + "node_id": "node_2479", + "content": "INITIAL DESIGN (Trace 353)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0040)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0040)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M7: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n Mass: 141.15 kg\n Factor of Safety: 0.23\n Max Deflection: 4.72e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 141.1475998790861, + "fos_buckling": 0.23153113497890565, + "fos_yielding": 1.059925452199331, + "deflection": 0.047220139470867784, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2480": { + "node_id": "node_2480", + "content": "MODIFICATION: Increase 4 thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0040)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M7: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n Mass: 143.15 kg\n Factor of Safety: 0.23\n Max Deflection: 4.64e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 143.15460857642066, + "fos_buckling": 0.23141369150442914, + "fos_yielding": 1.059744547127665, + "deflection": 0.04642597865495379, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.269)" + }, + "parent_node_id": "node_2479", + "improvement_over_parent": null + }, + "node_2481": { + "node_id": "node_2481", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0045)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M7: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n Mass: 159.27 kg\n Factor of Safety: 0.25\n Max Deflection: 4.18e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.27145611932878, + "fos_buckling": 0.2527505208867577, + "fos_yielding": 1.1771476094012916, + "deflection": 0.041787225946571936, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.122)" + }, + "parent_node_id": "node_2480", + "improvement_over_parent": null + }, + "node_2482": { + "node_id": "node_2482", + "content": "MODIFICATION: Increase 2 thickness by 45%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M7: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n Mass: 163.48 kg\n Factor of Safety: 0.25\n Max Deflection: 3.83e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.48359937287898, + "fos_buckling": 0.2524824005140225, + "fos_yielding": 1.1758858098076421, + "deflection": 0.03829713351165081, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.453)" + }, + "parent_node_id": "node_2481", + "improvement_over_parent": null + }, + "node_2483": { + "node_id": "node_2483", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M7: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n M18: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n\nPerformance:\n Mass: 164.49 kg\n Factor of Safety: 0.25\n Max Deflection: 3.82e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.49035219683705, + "fos_buckling": 0.2524397303878233, + "fos_yielding": 1.263458688335301, + "deflection": 0.038152688828022155, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002216)" + }, + "parent_node_id": "node_2482", + "improvement_over_parent": null + }, + "node_2484": { + "node_id": "node_2484", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M7: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n\nPerformance:\n Mass: 184.10 kg\n Factor of Safety: 0.28\n Max Deflection: 3.42e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.1013943792158, + "fos_buckling": 0.2763708384054771, + "fos_yielding": 1.4108921020493883, + "deflection": 0.034176681176118696, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.131)" + }, + "parent_node_id": "node_2483", + "improvement_over_parent": null + }, + "node_2485": { + "node_id": "node_2485", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M7: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 189.41 kg\n Factor of Safety: 0.28\n Max Deflection: 3.38e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.4094398562103, + "fos_buckling": 0.2762481367151315, + "fos_yielding": 1.3895155191458628, + "deflection": 0.03379096235678966, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)" + }, + "parent_node_id": "node_2484", + "improvement_over_parent": null + }, + "node_2486": { + "node_id": "node_2486", + "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M7: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 204.59 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.5939938711117, + "fos_buckling": 1.5297551958168842, + "fos_yielding": 4.83432094603945, + "deflection": 0.011232825336887227, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)" + }, + "parent_node_id": "node_2485", + "improvement_over_parent": null + }, + "node_2487": { + "node_id": "node_2487", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2486", + "improvement_over_parent": null + }, + "node_2488": { + "node_id": "node_2488", + "content": "INITIAL DESIGN (Trace 354)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0025)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n\nPerformance:\n Mass: 126.54 kg\n Factor of Safety: 0.61\n Max Deflection: 1.89e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 126.53576340371251, + "fos_buckling": 0.6118629506819381, + "fos_yielding": 3.286251064507895, + "deflection": 0.018858366094743385, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2489": { + "node_id": "node_2489", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0029)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n Mass: 149.31 kg\n Factor of Safety: 0.71\n Max Deflection: 1.60e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 149.3121957360016, + "fos_buckling": 0.7076844892974095, + "fos_yielding": 3.875013124735336, + "deflection": 0.01601545560562261, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.193)" + }, + "parent_node_id": "node_2488", + "improvement_over_parent": null + }, + "node_2490": { + "node_id": "node_2490", + "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0029)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n\nPerformance:\n Mass: 151.77 kg\n Factor of Safety: 0.34\n Max Deflection: 1.61e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 151.77215233755965, + "fos_buckling": 0.3442362168416546, + "fos_yielding": 3.874894898154547, + "deflection": 0.016105608111256504, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003224)" + }, + "parent_node_id": "node_2489", + "improvement_over_parent": null + }, + "node_2491": { + "node_id": "node_2491", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n Mass: 192.19 kg\n Factor of Safety: 0.42\n Max Deflection: 1.28e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.18958309598577, + "fos_buckling": 0.41808411923994043, + "fos_yielding": 4.900601745450479, + "deflection": 0.0127909305953415, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.292)" + }, + "parent_node_id": "node_2490", + "improvement_over_parent": null + }, + "node_2492": { + "node_id": "node_2492", + "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n Mass: 201.71 kg\n Factor of Safety: 1.37\n Max Deflection: 1.13e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.7052409129861, + "fos_buckling": 1.3690287546950328, + "fos_yielding": 4.834689732104831, + "deflection": 0.011336501885672447, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.005227)" + }, + "parent_node_id": "node_2491", + "improvement_over_parent": null + }, + "node_2493": { + "node_id": "node_2493", + "content": "MODIFICATION: Increase 7 thickness by 49%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n Mass: 204.62 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.61803103862388, + "fos_buckling": 1.5298771785309895, + "fos_yielding": 4.834753340236385, + "deflection": 0.011231349416890095, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.488)" + }, + "parent_node_id": "node_2492", + "improvement_over_parent": null + }, + "node_2494": { + "node_id": "node_2494", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2493", + "improvement_over_parent": null + }, + "node_2495": { + "node_id": "node_2495", + "content": "INITIAL DESIGN (Trace 355)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0029)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0030)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0027)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n\nPerformance:\n Mass: 119.71 kg\n Factor of Safety: 0.17\n Max Deflection: 5.46e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 119.71266660141245, + "fos_buckling": 0.1700646758168288, + "fos_yielding": 0.872991984971564, + "deflection": 0.05455005038529586, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2496": { + "node_id": "node_2496", + "content": "MODIFICATION: Increase 18 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0029)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0030)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0027)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n\nPerformance:\n Mass: 121.31 kg\n Factor of Safety: 0.17\n Max Deflection: 5.44e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 121.31023893730728, + "fos_buckling": 0.170041701430081, + "fos_yielding": 0.8728726987462333, + "deflection": 0.0543809112693615, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(18, thickness, 1.222)" + }, + "parent_node_id": "node_2495", + "improvement_over_parent": null + }, + "node_2497": { + "node_id": "node_2497", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0038)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n\nPerformance:\n Mass: 155.55 kg\n Factor of Safety: 0.21\n Max Deflection: 4.26e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 155.55036025980488, + "fos_buckling": 0.2115701309825328, + "fos_yielding": 1.115293551231146, + "deflection": 0.04256186193098619, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.304)" + }, + "parent_node_id": "node_2496", + "improvement_over_parent": null + }, + "node_2498": { + "node_id": "node_2498", + "content": "MODIFICATION: Increase 15 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0038)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n\nPerformance:\n Mass: 157.15 kg\n Factor of Safety: 0.21\n Max Deflection: 4.22e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.14856244085482, + "fos_buckling": 0.21148482939968788, + "fos_yielding": 1.13808556383284, + "deflection": 0.042243474797823734, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.222)" + }, + "parent_node_id": "node_2497", + "improvement_over_parent": null + }, + "node_2499": { + "node_id": "node_2499", + "content": "MODIFICATION: Increase 5 thickness by 43%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n\nPerformance:\n Mass: 160.20 kg\n Factor of Safety: 0.21\n Max Deflection: 4.09e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 160.20242110428026, + "fos_buckling": 0.21132202553343418, + "fos_yielding": 1.1872372671495488, + "deflection": 0.04094950039143149, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.435)" + }, + "parent_node_id": "node_2498", + "improvement_over_parent": null + }, + "node_2500": { + "node_id": "node_2500", + "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n\nPerformance:\n Mass: 173.13 kg\n Factor of Safety: 1.33\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.12522027174498, + "fos_buckling": 1.3278488175977197, + "fos_yielding": 4.120178662639616, + "deflection": 0.01309985342343915, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.005982)" + }, + "parent_node_id": "node_2499", + "improvement_over_parent": null + }, + "node_2501": { + "node_id": "node_2501", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 203.41 kg\n Factor of Safety: 1.52\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 203.40575526232954, + "fos_buckling": 1.522479557743254, + "fos_yielding": 4.836453189526052, + "deflection": 0.011200497922354035, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.192)" + }, + "parent_node_id": "node_2500", + "improvement_over_parent": null + }, + "node_2502": { + "node_id": "node_2502", + "content": "MODIFICATION: Increase 18 thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0075)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 205.73 kg\n Factor of Safety: 1.52\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 205.7339426124261, + "fos_buckling": 1.5172418183775025, + "fos_yielding": 4.8364440567800955, + "deflection": 0.011152167366540768, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(18, thickness, 1.188)" + }, + "parent_node_id": "node_2501", + "improvement_over_parent": null + }, + "node_2503": { + "node_id": "node_2503", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2502", + "improvement_over_parent": null + }, + "node_2504": { + "node_id": "node_2504", + "content": "INITIAL DESIGN (Trace 356)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n\nPerformance:\n Mass: 162.96 kg\n Factor of Safety: 0.31\n Max Deflection: 3.42e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.9595421361805, + "fos_buckling": 0.30523783008603406, + "fos_yielding": 1.2440982610873932, + "deflection": 0.034162497140821965, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2505": { + "node_id": "node_2505", + "content": "MODIFICATION: Increase 16 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n\nPerformance:\n Mass: 163.85 kg\n Factor of Safety: 0.31\n Max Deflection: 3.42e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.84650430719336, + "fos_buckling": 0.30516962290953303, + "fos_yielding": 1.2476904127390926, + "deflection": 0.034169719867536266, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.178)" + }, + "parent_node_id": "node_2504", + "improvement_over_parent": null + }, + "node_2506": { + "node_id": "node_2506", + "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n\nPerformance:\n Mass: 166.59 kg\n Factor of Safety: 0.31\n Max Deflection: 3.21e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.59359736655347, + "fos_buckling": 0.30502888545323714, + "fos_yielding": 1.7713971685739816, + "deflection": 0.032128596759497294, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003632)" + }, + "parent_node_id": "node_2505", + "improvement_over_parent": null + }, + "node_2507": { + "node_id": "node_2507", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n\nPerformance:\n Mass: 177.61 kg\n Factor of Safety: 1.37\n Max Deflection: 1.28e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.60590460978858, + "fos_buckling": 1.3694545036827286, + "fos_yielding": 4.265908215330615, + "deflection": 0.01275478338179814, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.005638)" + }, + "parent_node_id": "node_2506", + "improvement_over_parent": null + }, + "node_2508": { + "node_id": "node_2508", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n Mass: 201.40 kg\n Factor of Safety: 1.52\n Max Deflection: 1.13e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 201.4045904464964, + "fos_buckling": 1.5228872014790389, + "fos_yielding": 4.833603647004299, + "deflection": 0.011287616469203145, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.147)" + }, + "parent_node_id": "node_2507", + "improvement_over_parent": null + }, + "node_2509": { + "node_id": "node_2509", + "content": "MODIFICATION: Increase 18 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0096)]\n M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n Mass: 205.93 kg\n Factor of Safety: 1.53\n Max Deflection: 1.11e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 205.93341833906288, + "fos_buckling": 1.5324957443996219, + "fos_yielding": 4.833300963242462, + "deflection": 0.01111187808245008, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(18, thickness, 1.245)" + }, + "parent_node_id": "node_2508", + "improvement_over_parent": null + }, + "node_2510": { + "node_id": "node_2510", + "content": "MODIFICATION: Increase 16 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0048)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0096)]\n M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n Mass: 207.21 kg\n Factor of Safety: 1.57\n Max Deflection: 1.11e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 207.21420776627258, + "fos_buckling": 1.57008566859845, + "fos_yielding": 4.832523977233186, + "deflection": 0.011141936875079314, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.199)" + }, + "parent_node_id": "node_2509", + "improvement_over_parent": null + }, + "node_2511": { + "node_id": "node_2511", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2510", + "improvement_over_parent": null + }, + "node_2512": { + "node_id": "node_2512", + "content": "INITIAL DESIGN (Trace 357)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0029)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n\nPerformance:\n Mass: 162.93 kg\n Factor of Safety: 1.25\n Max Deflection: 1.38e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.9268270251627, + "fos_buckling": 1.2474359360998628, + "fos_yielding": 3.970977129200803, + "deflection": 0.013842223481689179, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2513": { + "node_id": "node_2513", + "content": "MODIFICATION: Increase 18 thickness by 44%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0029)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n\nPerformance:\n Mass: 164.99 kg\n Factor of Safety: 1.22\n Max Deflection: 1.39e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.99045197386977, + "fos_buckling": 1.2248368428247813, + "fos_yielding": 3.969752620935574, + "deflection": 0.01391570242175148, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(18, thickness, 1.443)" + }, + "parent_node_id": "node_2512", + "improvement_over_parent": null + }, + "node_2514": { + "node_id": "node_2514", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 200.95 kg\n Factor of Safety: 1.44\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.94715308487275, + "fos_buckling": 1.4429550019071415, + "fos_yielding": 4.829231089153756, + "deflection": 0.011482650802399446, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.239)" + }, + "parent_node_id": "node_2513", + "improvement_over_parent": null + }, + "node_2515": { + "node_id": "node_2515", + "content": "MODIFICATION: Increase 16 thickness by 58%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.76 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.76009432252727, + "fos_buckling": 1.5307145320942488, + "fos_yielding": 4.838053217228459, + "deflection": 0.011223827047607915, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.580)" + }, + "parent_node_id": "node_2514", + "improvement_over_parent": null + }, + "node_2516": { + "node_id": "node_2516", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2515", + "improvement_over_parent": null + }, + "node_2517": { + "node_id": "node_2517", + "content": "INITIAL DESIGN (Trace 358)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0030)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0041)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0039)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0036)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0032)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0023)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0030)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0032)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0044)]\n\nPerformance:\n Mass: 114.22 kg\n Factor of Safety: 0.27\n Max Deflection: 2.14e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 114.22423921238685, + "fos_buckling": 0.27036158144108047, + "fos_yielding": 2.874870461095857, + "deflection": 0.021398314461374277, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2518": { + "node_id": "node_2518", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n Mass: 137.53 kg\n Factor of Safety: 0.32\n Max Deflection: 1.78e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 137.5264083027597, + "fos_buckling": 0.31812868403210903, + "fos_yielding": 3.459330408175565, + "deflection": 0.017830613307544683, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.217)" + }, + "parent_node_id": "node_2517", + "improvement_over_parent": null + }, + "node_2519": { + "node_id": "node_2519", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n Mass: 174.17 kg\n Factor of Safety: 0.39\n Max Deflection: 1.42e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.1701307483079, + "fos_buckling": 0.3882832364454083, + "fos_yielding": 4.377038797476131, + "deflection": 0.014151219266126657, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.289)" + }, + "parent_node_id": "node_2518", + "improvement_over_parent": null + }, + "node_2520": { + "node_id": "node_2520", + "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n\nPerformance:\n Mass: 182.66 kg\n Factor of Safety: 1.39\n Max Deflection: 1.25e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.66107986162257, + "fos_buckling": 1.394450357126256, + "fos_yielding": 4.318584691188102, + "deflection": 0.012541088785106987, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.004615)" + }, + "parent_node_id": "node_2519", + "improvement_over_parent": null + }, + "node_2521": { + "node_id": "node_2521", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n Mass: 204.77 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.76891608354907, + "fos_buckling": 1.5308075546916917, + "fos_yielding": 4.838404971876601, + "deflection": 0.011223160367174629, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.133)" + }, + "parent_node_id": "node_2520", + "improvement_over_parent": null + }, + "node_2522": { + "node_id": "node_2522", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2521", + "improvement_over_parent": null + }, + "node_2523": { + "node_id": "node_2523", + "content": "INITIAL DESIGN (Trace 359)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0044)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0021)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0033)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0036)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0028)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0025)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0046)]\n\nPerformance:\n Mass: 109.22 kg\n Factor of Safety: 0.23\n Max Deflection: 4.33e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 109.21730705494105, + "fos_buckling": 0.22528698244343265, + "fos_yielding": 1.5979741142598427, + "deflection": 0.043311495002528795, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2524": { + "node_id": "node_2524", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n\nPerformance:\n Mass: 136.99 kg\n Factor of Safety: 0.27\n Max Deflection: 3.47e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 136.9885432793135, + "fos_buckling": 0.2739115615834582, + "fos_yielding": 1.9884296560861814, + "deflection": 0.034708894194922305, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.272)" + }, + "parent_node_id": "node_2523", + "improvement_over_parent": null + }, + "node_2525": { + "node_id": "node_2525", + "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0033)]\n\nPerformance:\n Mass: 143.82 kg\n Factor of Safety: 0.27\n Max Deflection: 3.67e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 143.81973905978924, + "fos_buckling": 0.2734386753030218, + "fos_yielding": 1.6351092221593426, + "deflection": 0.036686494665373506, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.003297)" + }, + "parent_node_id": "node_2524", + "improvement_over_parent": null + }, + "node_2526": { + "node_id": "node_2526", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0033)]\n M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n\nPerformance:\n Mass: 153.47 kg\n Factor of Safety: 1.08\n Max Deflection: 1.45e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 153.47028836354195, + "fos_buckling": 1.0845537788783541, + "fos_yielding": 3.7477356562426842, + "deflection": 0.014454731558867095, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.004890)" + }, + "parent_node_id": "node_2525", + "improvement_over_parent": null + }, + "node_2527": { + "node_id": "node_2527", + "content": "MODIFICATION: Increase 4 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0033)]\n M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n\nPerformance:\n Mass: 154.14 kg\n Factor of Safety: 1.09\n Max Deflection: 1.44e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 154.1398840972846, + "fos_buckling": 1.0853431388649357, + "fos_yielding": 3.737316153626325, + "deflection": 0.014418583223383312, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.209)" + }, + "parent_node_id": "node_2526", + "improvement_over_parent": null + }, + "node_2528": { + "node_id": "node_2528", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n Mass: 199.60 kg\n Factor of Safety: 1.37\n Max Deflection: 1.12e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.5968538333334, + "fos_buckling": 1.3705002208051573, + "fos_yielding": 4.831343531810729, + "deflection": 0.0112144949103046, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.323)" + }, + "parent_node_id": "node_2527", + "improvement_over_parent": null + }, + "node_2529": { + "node_id": "node_2529", + "content": "MODIFICATION: Increase 17 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0083)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n Mass: 203.44 kg\n Factor of Safety: 1.36\n Max Deflection: 1.11e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.43643085173932, + "fos_buckling": 1.3626404546850068, + "fos_yielding": 4.831308968199376, + "deflection": 0.011139871233070826, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.314)" + }, + "parent_node_id": "node_2528", + "improvement_over_parent": null + }, + "node_2530": { + "node_id": "node_2530", + "content": "MODIFICATION: Increase 16 thickness by 34%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0067)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0083)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n Mass: 206.01 kg\n Factor of Safety: 1.43\n Max Deflection: 1.12e-02 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.00796446316042, + "fos_buckling": 1.4308971242721757, + "fos_yielding": 4.830120898749957, + "deflection": 0.011195473200183933, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.340)" + }, + "parent_node_id": "node_2529", + "improvement_over_parent": null + }, + "node_2531": { + "node_id": "node_2531", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2530", + "improvement_over_parent": null + }, + "node_2532": { + "node_id": "node_2532", + "content": "INITIAL DESIGN (Trace 360)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0040)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 198.44 kg\n Factor of Safety: 1.31\n Max Deflection: 1.14e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.44430857957343, + "fos_buckling": 1.3131985360444247, + "fos_yielding": 4.810535085221145, + "deflection": 0.011377672945544384, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2533": { + "node_id": "node_2533", + "content": "MODIFICATION: Increase 5 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0040)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 200.23 kg\n Factor of Safety: 1.30\n Max Deflection: 1.11e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.22699623151468, + "fos_buckling": 1.2991586146043186, + "fos_yielding": 4.814279155679293, + "deflection": 0.011090873503631539, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.183)" + }, + "parent_node_id": "node_2532", + "improvement_over_parent": null + }, + "node_2534": { + "node_id": "node_2534", + "content": "MODIFICATION: Increase 0 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0040)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 201.56 kg\n Factor of Safety: 1.30\n Max Deflection: 1.10e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.56037075383855, + "fos_buckling": 1.2977655690084586, + "fos_yielding": 4.835312114201137, + "deflection": 0.011010522595927691, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.203)" + }, + "parent_node_id": "node_2533", + "improvement_over_parent": null + }, + "node_2535": { + "node_id": "node_2535", + "content": "MODIFICATION: Increase 17 thickness by 41%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.69 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.68950746872855, + "fos_buckling": 1.5303896450859755, + "fos_yielding": 4.836773691945639, + "deflection": 0.011227166931463075, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.414)" + }, + "parent_node_id": "node_2534", + "improvement_over_parent": null + }, + "node_2536": { + "node_id": "node_2536", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2535", + "improvement_over_parent": null + }, + "node_2537": { + "node_id": "node_2537", + "content": "INITIAL DESIGN (Trace 361)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0038)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n Mass: 155.72 kg\n Factor of Safety: 1.24\n Max Deflection: 1.53e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 155.7178935760644, + "fos_buckling": 1.238990899854677, + "fos_yielding": 3.7736680435245535, + "deflection": 0.015325689958032322, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2538": { + "node_id": "node_2538", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0043)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n\nPerformance:\n Mass: 175.01 kg\n Factor of Safety: 1.37\n Max Deflection: 1.37e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.00692533698347, + "fos_buckling": 1.3662947622216537, + "fos_yielding": 4.238206174472536, + "deflection": 0.013666394491145189, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.134)" + }, + "parent_node_id": "node_2537", + "improvement_over_parent": null + }, + "node_2539": { + "node_id": "node_2539", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0049)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 199.74 kg\n Factor of Safety: 1.52\n Max Deflection: 1.20e-02 m\n Status: FEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 199.74354110808667, + "fos_buckling": 1.5213240497341922, + "fos_yielding": 4.832958559139486, + "deflection": 0.012007119216691148, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.155)" + }, + "parent_node_id": "node_2538", + "improvement_over_parent": null + }, + "node_2540": { + "node_id": "node_2540", + "content": "MODIFICATION: Increase 2 thickness by 49%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.68 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.67649657268694, + "fos_buckling": 1.530203695143577, + "fos_yielding": 4.836021197648461, + "deflection": 0.011227661257620085, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.488)" + }, + "parent_node_id": "node_2539", + "improvement_over_parent": null + }, + "node_2541": { + "node_id": "node_2541", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2540", + "improvement_over_parent": null + }, + "node_2542": { + "node_id": "node_2542", + "content": "INITIAL DESIGN (Trace 362)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0009)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0040)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0054)]\n\nPerformance:\n Mass: 143.44 kg\n Factor of Safety: 0.88\n Max Deflection: 1.63e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 143.44369102869712, + "fos_buckling": 0.8837998639504223, + "fos_yielding": 3.718993382992923, + "deflection": 0.0163444344655901, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2543": { + "node_id": "node_2543", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n Mass: 165.67 kg\n Factor of Safety: 1.00\n Max Deflection: 1.42e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.66517165760487, + "fos_buckling": 0.9961645080745165, + "fos_yielding": 4.294545194057316, + "deflection": 0.014201408843289302, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.167)" + }, + "parent_node_id": "node_2542", + "improvement_over_parent": null + }, + "node_2544": { + "node_id": "node_2544", + "content": "MODIFICATION: Increase 9 thickness by 61%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n Mass: 165.88 kg\n Factor of Safety: 1.00\n Max Deflection: 1.42e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.88031492870005, + "fos_buckling": 0.9960934103728556, + "fos_yielding": 4.294545194057316, + "deflection": 0.014191088777485237, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.608)" + }, + "parent_node_id": "node_2543", + "improvement_over_parent": null + }, + "node_2545": { + "node_id": "node_2545", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n\nPerformance:\n Mass: 170.30 kg\n Factor of Safety: 1.32\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.29591102050912, + "fos_buckling": 1.315166527548883, + "fos_yielding": 4.02755639571781, + "deflection": 0.01342744689772355, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003451)" + }, + "parent_node_id": "node_2544", + "improvement_over_parent": null + }, + "node_2546": { + "node_id": "node_2546", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 204.72 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.72017995280467, + "fos_buckling": 1.5305095013430339, + "fos_yielding": 4.837238318494222, + "deflection": 0.011225759699090287, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.222)" + }, + "parent_node_id": "node_2545", + "improvement_over_parent": null + }, + "node_2547": { + "node_id": "node_2547", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2546", + "improvement_over_parent": null + }, + "node_2548": { + "node_id": "node_2548", + "content": "INITIAL DESIGN (Trace 363)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 169.77 kg\n Factor of Safety: 0.52\n Max Deflection: 4.17e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.77041992625516, + "fos_buckling": 0.5208410950171092, + "fos_yielding": 4.507814458305636, + "deflection": 4166290275002.567, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2549": { + "node_id": "node_2549", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n\nPerformance:\n Mass: 180.79 kg\n Factor of Safety: 0.34\n Max Deflection: 2.65e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.78607680214213, + "fos_buckling": 0.338222168317721, + "fos_yielding": 2.539261040472146, + "deflection": 0.026531168787892464, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.005624)" + }, + "parent_node_id": "node_2548", + "improvement_over_parent": null + }, + "node_2550": { + "node_id": "node_2550", + "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n Mass: 192.21 kg\n Factor of Safety: 0.34\n Max Deflection: 2.82e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.21327696818176, + "fos_buckling": 0.3372530311840234, + "fos_yielding": 2.0739422016412368, + "deflection": 0.02815570860040814, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.005728)" + }, + "parent_node_id": "node_2549", + "improvement_over_parent": null + }, + "node_2551": { + "node_id": "node_2551", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.7010840451985, + "fos_buckling": 1.5303940219462402, + "fos_yielding": 4.8367893872365615, + "deflection": 0.011226774662872223, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.006468)" + }, + "parent_node_id": "node_2550", + "improvement_over_parent": null + }, + "node_2552": { + "node_id": "node_2552", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2551", + "improvement_over_parent": null + }, + "node_2553": { + "node_id": "node_2553", + "content": "INITIAL DESIGN (Trace 364)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0027)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n Mass: 144.03 kg\n Factor of Safety: 0.20\n Max Deflection: 1.64e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 144.03421647379562, + "fos_buckling": 0.2019648256564658, + "fos_yielding": 3.8143446275174058, + "deflection": 0.016395086902100255, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2554": { + "node_id": "node_2554", + "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0027)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n\nPerformance:\n Mass: 153.07 kg\n Factor of Safety: 0.90\n Max Deflection: 1.56e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 153.0729598545467, + "fos_buckling": 0.9007182704003064, + "fos_yielding": 3.82937687151448, + "deflection": 0.015565654062722806, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004440)" + }, + "parent_node_id": "node_2553", + "improvement_over_parent": null + }, + "node_2555": { + "node_id": "node_2555", + "content": "MODIFICATION: Increase 11 thickness by 54%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n\nPerformance:\n Mass: 154.44 kg\n Factor of Safety: 0.90\n Max Deflection: 1.56e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 154.44061584214984, + "fos_buckling": 0.9007182704003064, + "fos_yielding": 3.82937687151448, + "deflection": 0.015565654062722806, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.538)" + }, + "parent_node_id": "node_2554", + "improvement_over_parent": null + }, + "node_2556": { + "node_id": "node_2556", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n Mass: 195.24 kg\n Factor of Safety: 1.09\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.23828498318943, + "fos_buckling": 1.0934485345364418, + "fos_yielding": 4.835474648808739, + "deflection": 0.012386458563278236, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.290)" + }, + "parent_node_id": "node_2555", + "improvement_over_parent": null + }, + "node_2557": { + "node_id": "node_2557", + "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70259954524425, + "fos_buckling": 1.5303442511108751, + "fos_yielding": 4.836940715801611, + "deflection": 0.011226565449682296, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)" + }, + "parent_node_id": "node_2556", + "improvement_over_parent": null + }, + "node_2558": { + "node_id": "node_2558", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2557", + "improvement_over_parent": null + }, + "node_2559": { + "node_id": "node_2559", + "content": "INITIAL DESIGN (Trace 365)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n Mass: 146.19 kg\n Factor of Safety: 0.56\n Max Deflection: 1.98e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 146.1935632720745, + "fos_buckling": 0.5610917143622115, + "fos_yielding": 2.0804386121297123, + "deflection": 0.019785951374123707, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2560": { + "node_id": "node_2560", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n\nPerformance:\n Mass: 150.38 kg\n Factor of Safety: 0.56\n Max Deflection: 1.84e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 150.38166936103178, + "fos_buckling": 0.5612912526747773, + "fos_yielding": 2.0807971525744495, + "deflection": 0.01842272814951588, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003260)" + }, + "parent_node_id": "node_2559", + "improvement_over_parent": null + }, + "node_2561": { + "node_id": "node_2561", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 190.65 kg\n Factor of Safety: 0.68\n Max Deflection: 1.46e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.65389833409327, + "fos_buckling": 0.6828773866536949, + "fos_yielding": 2.6356523537034136, + "deflection": 0.014603400694552368, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.294)" + }, + "parent_node_id": "node_2560", + "improvement_over_parent": null + }, + "node_2562": { + "node_id": "node_2562", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n\nPerformance:\n Mass: 201.67 kg\n Factor of Safety: 0.90\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.66955520998025, + "fos_buckling": 0.8991389772868891, + "fos_yielding": 4.855270902179716, + "deflection": 0.012397797837224814, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.005624)" + }, + "parent_node_id": "node_2561", + "improvement_over_parent": null + }, + "node_2563": { + "node_id": "node_2563", + "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n Mass: 204.78 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.78493310970066, + "fos_buckling": 1.5309115582321324, + "fos_yielding": 4.83890800120569, + "deflection": 0.011222248773343116, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)" + }, + "parent_node_id": "node_2562", + "improvement_over_parent": null + }, + "node_2564": { + "node_id": "node_2564", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2563", + "improvement_over_parent": null + }, + "node_2565": { + "node_id": "node_2565", + "content": "INITIAL DESIGN (Trace 366)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0030)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0039)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0034)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0036)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0034)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0047)]\n\nPerformance:\n Mass: 119.77 kg\n Factor of Safety: 0.78\n Max Deflection: 2.01e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 119.77344942470693, + "fos_buckling": 0.7816805085576003, + "fos_yielding": 3.2185586948000315, + "deflection": 0.02013954290534578, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2566": { + "node_id": "node_2566", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0030)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0039)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0034)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0036)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0034)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0047)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0028)]\n\nPerformance:\n Mass: 124.62 kg\n Factor of Safety: 1.02\n Max Deflection: 1.90e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 124.62322225242544, + "fos_buckling": 1.0207286795732673, + "fos_yielding": 3.0189270234186303, + "deflection": 0.018978189984768384, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.002843)" + }, + "parent_node_id": "node_2565", + "improvement_over_parent": null + }, + "node_2567": { + "node_id": "node_2567", + "content": "MODIFICATION: Increase 2 thickness by 45%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0044)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0039)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0034)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0036)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0034)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0047)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0028)]\n\nPerformance:\n Mass: 127.59 kg\n Factor of Safety: 1.02\n Max Deflection: 1.78e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 127.58563989251387, + "fos_buckling": 1.0245898316487727, + "fos_yielding": 3.020842198445879, + "deflection": 0.01781019444308982, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.445)" + }, + "parent_node_id": "node_2566", + "improvement_over_parent": null + }, + "node_2568": { + "node_id": "node_2568", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n\nPerformance:\n Mass: 164.87 kg\n Factor of Safety: 1.28\n Max Deflection: 1.39e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.8696978742299, + "fos_buckling": 1.2796729853105266, + "fos_yielding": 3.8997154111301544, + "deflection": 0.013858104195742044, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.314)" + }, + "parent_node_id": "node_2567", + "improvement_over_parent": null + }, + "node_2569": { + "node_id": "node_2569", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n Mass: 204.52 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.5162707584778, + "fos_buckling": 1.5292621109418083, + "fos_yielding": 4.832354060558492, + "deflection": 0.01123640292566626, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.264)" + }, + "parent_node_id": "node_2568", + "improvement_over_parent": null + }, + "node_2570": { + "node_id": "node_2570", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2569", + "improvement_over_parent": null + }, + "node_2571": { + "node_id": "node_2571", + "content": "INITIAL DESIGN (Trace 367)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0036)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0029)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0011)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0024)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n\nPerformance:\n Mass: 131.93 kg\n Factor of Safety: 0.84\n Max Deflection: 1.79e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 131.93340786970361, + "fos_buckling": 0.8386212544941339, + "fos_yielding": 3.265544652786658, + "deflection": 0.017887268921033934, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2572": { + "node_id": "node_2572", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0037)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n Mass: 162.63 kg\n Factor of Safety: 1.01\n Max Deflection: 1.46e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.62849946686217, + "fos_buckling": 1.0130711496742277, + "fos_yielding": 4.019822205991804, + "deflection": 0.01456607357508646, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.250)" + }, + "parent_node_id": "node_2571", + "improvement_over_parent": null + }, + "node_2573": { + "node_id": "node_2573", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 195.48 kg\n Factor of Safety: 1.19\n Max Deflection: 1.22e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.48206551617218, + "fos_buckling": 1.1913031527122524, + "fos_yielding": 4.824691483861434, + "deflection": 0.012166402054449752, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.221)" + }, + "parent_node_id": "node_2572", + "improvement_over_parent": null + }, + "node_2574": { + "node_id": "node_2574", + "content": "MODIFICATION: Increase 5 thickness by 45%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 199.09 kg\n Factor of Safety: 1.41\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.0855149641452, + "fos_buckling": 1.4146972262726398, + "fos_yielding": 4.836285209789384, + "deflection": 0.011452105011715787, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.445)" + }, + "parent_node_id": "node_2573", + "improvement_over_parent": null + }, + "node_2575": { + "node_id": "node_2575", + "content": "MODIFICATION: Increase 9 thickness by 45%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 199.41 kg\n Factor of Safety: 1.40\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.41136480537256, + "fos_buckling": 1.3951719249746894, + "fos_yielding": 4.842094684198464, + "deflection": 0.011456545712870053, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.447)" + }, + "parent_node_id": "node_2574", + "improvement_over_parent": null + }, + "node_2576": { + "node_id": "node_2576", + "content": "MODIFICATION: Increase 15 thickness by 40%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 201.96 kg\n Factor of Safety: 1.55\n Max Deflection: 1.14e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 201.95734222630568, + "fos_buckling": 1.5535071576013844, + "fos_yielding": 4.836203066561826, + "deflection": 0.011400786880494155, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.401)" + }, + "parent_node_id": "node_2575", + "improvement_over_parent": null + }, + "node_2577": { + "node_id": "node_2577", + "content": "MODIFICATION: Increase 3 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.66 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.6586437322201, + "fos_buckling": 1.5302571026849918, + "fos_yielding": 4.835951530730957, + "deflection": 0.011228828348371779, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.258)" + }, + "parent_node_id": "node_2576", + "improvement_over_parent": null + }, + "node_2578": { + "node_id": "node_2578", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2577", + "improvement_over_parent": null + }, + "node_2579": { + "node_id": "node_2579", + "content": "INITIAL DESIGN (Trace 368)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0031)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0018)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n\nPerformance:\n Mass: 126.27 kg\n Factor of Safety: 0.26\n Max Deflection: 1.99e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 126.26574160571052, + "fos_buckling": 0.2634125381780288, + "fos_yielding": 3.435333691540455, + "deflection": 0.019940328907111574, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2580": { + "node_id": "node_2580", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0022)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n Mass: 151.81 kg\n Factor of Safety: 0.31\n Max Deflection: 1.66e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 151.80621967807826, + "fos_buckling": 0.31044397380562644, + "fos_yielding": 4.127266524865863, + "deflection": 0.016643939725691167, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.217)" + }, + "parent_node_id": "node_2579", + "improvement_over_parent": null + }, + "node_2581": { + "node_id": "node_2581", + "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0022)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n M19: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n\nPerformance:\n Mass: 159.42 kg\n Factor of Safety: 0.91\n Max Deflection: 1.45e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.42167493243502, + "fos_buckling": 0.913115359399879, + "fos_yielding": 3.8537489841749064, + "deflection": 0.014526544639486898, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.004103)" + }, + "parent_node_id": "node_2580", + "improvement_over_parent": null + }, + "node_2582": { + "node_id": "node_2582", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n Mass: 199.28 kg\n Factor of Safety: 1.11\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.27737768297203, + "fos_buckling": 1.1057588889238712, + "fos_yielding": 4.809611525690425, + "deflection": 0.011684815380806075, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.274)" + }, + "parent_node_id": "node_2581", + "improvement_over_parent": null + }, + "node_2583": { + "node_id": "node_2583", + "content": "MODIFICATION: Increase 4 thickness by 48%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n Mass: 200.89 kg\n Factor of Safety: 1.42\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.88657559942095, + "fos_buckling": 1.4224431164643945, + "fos_yielding": 4.790078589460997, + "deflection": 0.011583225933879678, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.477)" + }, + "parent_node_id": "node_2582", + "improvement_over_parent": null + }, + "node_2584": { + "node_id": "node_2584", + "content": "MODIFICATION: Increase 1 thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n Mass: 203.61 kg\n Factor of Safety: 1.32\n Max Deflection: 1.12e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.6092645385026, + "fos_buckling": 1.3224369802607405, + "fos_yielding": 4.764014656841469, + "deflection": 0.011178424404051424, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.325)" + }, + "parent_node_id": "node_2583", + "improvement_over_parent": null + }, + "node_2585": { + "node_id": "node_2585", + "content": "MODIFICATION: Increase 9 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n Mass: 203.75 kg\n Factor of Safety: 1.32\n Max Deflection: 1.12e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.74814337650463, + "fos_buckling": 1.3224526580944471, + "fos_yielding": 4.764019027883396, + "deflection": 0.011178578076288416, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.264)" + }, + "parent_node_id": "node_2584", + "improvement_over_parent": null + }, + "node_2586": { + "node_id": "node_2586", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M20: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n\nPerformance:\n Mass: 204.87 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.87479119679125, + "fos_buckling": 1.5315125188665717, + "fos_yielding": 4.841190229118071, + "deflection": 0.011217068063856658, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002506)" + }, + "parent_node_id": "node_2585", + "improvement_over_parent": null + }, + "node_2587": { + "node_id": "node_2587", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2586", + "improvement_over_parent": null + }, + "node_2588": { + "node_id": "node_2588", + "content": "INITIAL DESIGN (Trace 369)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n Mass: 150.22 kg\n Factor of Safety: 0.28\n Max Deflection: 3.50e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 150.22320536619296, + "fos_buckling": 0.28229017374521614, + "fos_yielding": 1.748182810391174, + "deflection": 0.035002072330133506, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2589": { + "node_id": "node_2589", + "content": "MODIFICATION: Increase 16 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n Mass: 151.97 kg\n Factor of Safety: 0.28\n Max Deflection: 3.51e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 151.97174727911442, + "fos_buckling": 0.2821656021869086, + "fos_yielding": 1.733874852674594, + "deflection": 0.035098054858802304, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.253)" + }, + "parent_node_id": "node_2588", + "improvement_over_parent": null + }, + "node_2590": { + "node_id": "node_2590", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 189.26 kg\n Factor of Safety: 0.34\n Max Deflection: 2.84e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.25961215041326, + "fos_buckling": 0.3373340630336155, + "fos_yielding": 2.143976972469329, + "deflection": 0.028352534275084284, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.269)" + }, + "parent_node_id": "node_2589", + "improvement_over_parent": null + }, + "node_2591": { + "node_id": "node_2591", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n Mass: 201.75 kg\n Factor of Safety: 1.53\n Max Deflection: 1.16e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 201.74741922743002, + "fos_buckling": 1.5268715758044251, + "fos_yielding": 4.832455224958566, + "deflection": 0.01158298331315036, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.006468)" + }, + "parent_node_id": "node_2590", + "improvement_over_parent": null + }, + "node_2592": { + "node_id": "node_2592", + "content": "MODIFICATION: Increase 2 thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n Mass: 204.60 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.60069027548664, + "fos_buckling": 1.5296714316757951, + "fos_yielding": 4.833936765373689, + "deflection": 0.011230967417091236, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.238)" + }, + "parent_node_id": "node_2591", + "improvement_over_parent": null + }, + "node_2593": { + "node_id": "node_2593", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2592", + "improvement_over_parent": null + }, + "node_2594": { + "node_id": "node_2594", + "content": "INITIAL DESIGN (Trace 370)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0024)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0025)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0040)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n Mass: 135.69 kg\n Factor of Safety: 0.84\n Max Deflection: 1.70e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 135.69216202222603, + "fos_buckling": 0.8368576121705747, + "fos_yielding": 2.3076029307968944, + "deflection": 0.01697000208862205, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2595": { + "node_id": "node_2595", + "content": "MODIFICATION: Increase 8 thickness by 63%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0025)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0040)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n Mass: 137.23 kg\n Factor of Safety: 0.88\n Max Deflection: 1.70e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 137.23140980040355, + "fos_buckling": 0.8751070559723144, + "fos_yielding": 3.6718851610500858, + "deflection": 0.01697000208862205, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.629)" + }, + "parent_node_id": "node_2594", + "improvement_over_parent": null + }, + "node_2596": { + "node_id": "node_2596", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0025)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0040)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n\nPerformance:\n Mass: 142.76 kg\n Factor of Safety: 1.08\n Max Deflection: 1.60e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 142.76219941477322, + "fos_buckling": 1.084021423478399, + "fos_yielding": 3.438460367220849, + "deflection": 0.01602940689319212, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003268)" + }, + "parent_node_id": "node_2595", + "improvement_over_parent": null + }, + "node_2597": { + "node_id": "node_2597", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0030)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n\nPerformance:\n Mass: 169.25 kg\n Factor of Safety: 1.25\n Max Deflection: 1.36e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.24825550668135, + "fos_buckling": 1.2545822340485062, + "fos_yielding": 4.072870321312111, + "deflection": 0.013570861333268147, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.200)" + }, + "parent_node_id": "node_2596", + "improvement_over_parent": null + }, + "node_2598": { + "node_id": "node_2598", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n Mass: 200.88 kg\n Factor of Safety: 1.45\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.88145714965137, + "fos_buckling": 1.4460280834389874, + "fos_yielding": 4.829083392600304, + "deflection": 0.011484025901276854, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.205)" + }, + "parent_node_id": "node_2597", + "improvement_over_parent": null + }, + "node_2599": { + "node_id": "node_2599", + "content": "MODIFICATION: Increase 16 thickness by 57%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0090)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n Mass: 206.44 kg\n Factor of Safety: 1.48\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.4361521583059, + "fos_buckling": 1.4768960103060405, + "fos_yielding": 4.830096688316973, + "deflection": 0.011712174373674118, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.567)" + }, + "parent_node_id": "node_2598", + "improvement_over_parent": null + }, + "node_2600": { + "node_id": "node_2600", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2599", + "improvement_over_parent": null + }, + "node_2601": { + "node_id": "node_2601", + "content": "INITIAL DESIGN (Trace 371)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0031)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0043)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0040)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0038)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0033)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0031)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0035)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0028)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0033)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0025)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0045)]\n\nPerformance:\n Mass: 117.06 kg\n Factor of Safety: 0.51\n Max Deflection: 1.86e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 117.05524796615705, + "fos_buckling": 0.5146594824618501, + "fos_yielding": 2.982961160668636, + "deflection": 0.018598005122464838, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2602": { + "node_id": "node_2602", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0033)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n Mass: 149.00 kg\n Factor of Safety: 0.64\n Max Deflection: 1.47e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 148.9965688257296, + "fos_buckling": 0.6449270784664419, + "fos_yielding": 3.7928277023511523, + "deflection": 0.014651583218499879, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.292)" + }, + "parent_node_id": "node_2601", + "improvement_over_parent": null + }, + "node_2603": { + "node_id": "node_2603", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 192.89 kg\n Factor of Safety: 0.82\n Max Deflection: 1.14e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.88935043181428, + "fos_buckling": 0.8165803639271126, + "fos_yielding": 4.902773594593094, + "deflection": 0.011360566016201758, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.323)" + }, + "parent_node_id": "node_2602", + "improvement_over_parent": null + }, + "node_2604": { + "node_id": "node_2604", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n Mass: 193.61 kg\n Factor of Safety: 0.82\n Max Deflection: 1.10e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.60548225828794, + "fos_buckling": 0.8167844836786443, + "fos_yielding": 4.852765836040949, + "deflection": 0.010998779025515238, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)" + }, + "parent_node_id": "node_2603", + "improvement_over_parent": null + }, + "node_2605": { + "node_id": "node_2605", + "content": "MODIFICATION: Increase 17 thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0084)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n Mass: 197.58 kg\n Factor of Safety: 0.82\n Max Deflection: 1.09e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.5764812336834, + "fos_buckling": 0.8165015465649645, + "fos_yielding": 4.852629770252108, + "deflection": 0.010886290132939513, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.325)" + }, + "parent_node_id": "node_2604", + "improvement_over_parent": null + }, + "node_2606": { + "node_id": "node_2606", + "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0084)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n Mass: 206.19 kg\n Factor of Safety: 1.34\n Max Deflection: 1.10e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.1869702667573, + "fos_buckling": 1.3379409174973225, + "fos_yielding": 4.838595556831907, + "deflection": 0.010970242834412539, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)" + }, + "parent_node_id": "node_2605", + "improvement_over_parent": null + }, + "node_2607": { + "node_id": "node_2607", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2606", + "improvement_over_parent": null + }, + "node_2608": { + "node_id": "node_2608", + "content": "INITIAL DESIGN (Trace 372)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0025)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n\nPerformance:\n Mass: 133.04 kg\n Factor of Safety: 0.97\n Max Deflection: 1.69e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 133.03885422780309, + "fos_buckling": 0.9737466466333069, + "fos_yielding": 3.144743529077327, + "deflection": 0.016933732751154746, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2609": { + "node_id": "node_2609", + "content": "MODIFICATION: Increase 13 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n\nPerformance:\n Mass: 133.89 kg\n Factor of Safety: 0.94\n Max Deflection: 1.68e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 133.8897382607699, + "fos_buckling": 0.9408868490550444, + "fos_yielding": 3.136467267712032, + "deflection": 0.016835378081507726, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.211)" + }, + "parent_node_id": "node_2608", + "improvement_over_parent": null + }, + "node_2610": { + "node_id": "node_2610", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n\nPerformance:\n Mass: 156.52 kg\n Factor of Safety: 1.07\n Max Deflection: 1.45e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 156.52023432550246, + "fos_buckling": 1.0723875204799358, + "fos_yielding": 3.664263871944337, + "deflection": 0.014450078711861108, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.181)" + }, + "parent_node_id": "node_2609", + "improvement_over_parent": null + }, + "node_2611": { + "node_id": "node_2611", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n M20: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n\nPerformance:\n Mass: 157.39 kg\n Factor of Safety: 1.23\n Max Deflection: 1.45e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.38635939650132, + "fos_buckling": 1.2300610171047628, + "fos_yielding": 3.7234163246326637, + "deflection": 0.014501617578961885, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.001884)" + }, + "parent_node_id": "node_2610", + "improvement_over_parent": null + }, + "node_2612": { + "node_id": "node_2612", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n\nPerformance:\n Mass: 204.71 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.7062695256481, + "fos_buckling": 1.5304012405231722, + "fos_yielding": 4.836766922751331, + "deflection": 0.011226642520609623, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.330)" + }, + "parent_node_id": "node_2611", + "improvement_over_parent": null + }, + "node_2613": { + "node_id": "node_2613", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2612", + "improvement_over_parent": null + }, + "node_2614": { + "node_id": "node_2614", + "content": "INITIAL DESIGN (Trace 373)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0032)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0027)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n Mass: 128.68 kg\n Factor of Safety: 0.18\n Max Deflection: 5.73e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 128.67889722869074, + "fos_buckling": 0.17874601358594522, + "fos_yielding": 0.9930047847442245, + "deflection": 0.05725028640380625, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2615": { + "node_id": "node_2615", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0057)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0066)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0054)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0035)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0045)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0057)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n\nPerformance:\n Mass: 164.52 kg\n Factor of Safety: 0.22\n Max Deflection: 4.50e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.5234177853174, + "fos_buckling": 0.22382156889869123, + "fos_yielding": 1.2638334201541666, + "deflection": 0.04499189255507327, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.302)" + }, + "parent_node_id": "node_2614", + "improvement_over_parent": null + }, + "node_2616": { + "node_id": "node_2616", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 181.92 kg\n Factor of Safety: 0.24\n Max Deflection: 4.08e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.92456696674515, + "fos_buckling": 0.24496049655644284, + "fos_yielding": 1.3944041277514139, + "deflection": 0.04078221910802057, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.116)" + }, + "parent_node_id": "node_2615", + "improvement_over_parent": null + }, + "node_2617": { + "node_id": "node_2617", + "content": "MODIFICATION: Increase 7 thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 182.98 kg\n Factor of Safety: 0.24\n Max Deflection: 4.07e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.9830238249704, + "fos_buckling": 0.2449604965564433, + "fos_yielding": 1.391661637530846, + "deflection": 0.04072954119489014, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.244)" + }, + "parent_node_id": "node_2616", + "improvement_over_parent": null + }, + "node_2618": { + "node_id": "node_2618", + "content": "MODIFICATION: Increase 15 thickness by 46%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 186.34 kg\n Factor of Safety: 0.28\n Max Deflection: 3.91e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 186.33899196161957, + "fos_buckling": 0.2764234030514882, + "fos_yielding": 1.3904707867677752, + "deflection": 0.039139253195832086, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.456)" + }, + "parent_node_id": "node_2617", + "improvement_over_parent": null + }, + "node_2619": { + "node_id": "node_2619", + "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 201.52 kg\n Factor of Safety: 0.90\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.52354597652098, + "fos_buckling": 0.8988868284929072, + "fos_yielding": 4.850645962790591, + "deflection": 0.01240669135949421, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)" + }, + "parent_node_id": "node_2618", + "improvement_over_parent": null + }, + "node_2620": { + "node_id": "node_2620", + "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n Mass: 204.64 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.6389238762414, + "fos_buckling": 1.5299866835634017, + "fos_yielding": 4.834293675812606, + "deflection": 0.011230400768548268, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)" + }, + "parent_node_id": "node_2619", + "improvement_over_parent": null + }, + "node_2621": { + "node_id": "node_2621", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2620", + "improvement_over_parent": null + }, + "node_2622": { + "node_id": "node_2622", + "content": "INITIAL DESIGN (Trace 374)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n\nPerformance:\n Mass: 170.84 kg\n Factor of Safety: 1.28\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.8351028003957, + "fos_buckling": 1.280362143731145, + "fos_yielding": 4.082087963847551, + "deflection": 0.013338408371161358, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2623": { + "node_id": "node_2623", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 202.75 kg\n Factor of Safety: 1.48\n Max Deflection: 1.13e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.74784083071117, + "fos_buckling": 1.4849694044703814, + "fos_yielding": 4.839778049770355, + "deflection": 0.011291767194123604, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.205)" + }, + "parent_node_id": "node_2622", + "improvement_over_parent": null + }, + "node_2624": { + "node_id": "node_2624", + "content": "MODIFICATION: Increase 7 thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.6983506931495, + "fos_buckling": 1.53090331365057, + "fos_yielding": 4.839821221210337, + "deflection": 0.011228517313589226, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.285)" + }, + "parent_node_id": "node_2623", + "improvement_over_parent": null + }, + "node_2625": { + "node_id": "node_2625", + "content": "MODIFICATION: Increase 10 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.81 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.8124626444189, + "fos_buckling": 1.531019305771434, + "fos_yielding": 4.839530562287068, + "deflection": 0.011220723080768135, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.208)" + }, + "parent_node_id": "node_2624", + "improvement_over_parent": null + }, + "node_2626": { + "node_id": "node_2626", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2625", + "improvement_over_parent": null + }, + "node_2627": { + "node_id": "node_2627", + "content": "INITIAL DESIGN (Trace 375)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0046)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0043)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0027)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0011)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0040)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n\nPerformance:\n Mass: 126.06 kg\n Factor of Safety: 0.50\n Max Deflection: 1.90e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 126.05521388594417, + "fos_buckling": 0.498752754339479, + "fos_yielding": 1.943960011238079, + "deflection": 0.018977569481647798, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2628": { + "node_id": "node_2628", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0046)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0043)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0027)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0011)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0040)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n M18: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n\nPerformance:\n Mass: 126.54 kg\n Factor of Safety: 0.15\n Max Deflection: 1.76e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 126.54223732617999, + "fos_buckling": 0.1515785394813669, + "fos_yielding": 2.584029832694281, + "deflection": 0.017630330911736655, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001318)" + }, + "parent_node_id": "node_2627", + "improvement_over_parent": null + }, + "node_2629": { + "node_id": "node_2629", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0046)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0043)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0027)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0011)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0040)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n M18: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n\nPerformance:\n Mass: 130.15 kg\n Factor of Safety: 0.17\n Max Deflection: 1.71e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 130.15234512738203, + "fos_buckling": 0.16834871338250001, + "fos_yielding": 2.42990786639633, + "deflection": 0.017097851977724118, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.002782)" + }, + "parent_node_id": "node_2628", + "improvement_over_parent": null + }, + "node_2630": { + "node_id": "node_2630", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n M18: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n\nPerformance:\n Mass: 158.20 kg\n Factor of Safety: 0.20\n Max Deflection: 1.41e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 158.20064960947036, + "fos_buckling": 0.19980694686871864, + "fos_yielding": 2.962371133525171, + "deflection": 0.014101886373628034, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.232)" + }, + "parent_node_id": "node_2629", + "improvement_over_parent": null + }, + "node_2631": { + "node_id": "node_2631", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 191.64 kg\n Factor of Safety: 0.24\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.64437210406405, + "fos_buckling": 0.23507133629726384, + "fos_yielding": 3.6023536322052103, + "deflection": 0.011675859632731378, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.232)" + }, + "parent_node_id": "node_2630", + "improvement_over_parent": null + }, + "node_2632": { + "node_id": "node_2632", + "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n Mass: 203.07 kg\n Factor of Safety: 1.25\n Max Deflection: 1.13e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.07157227010367, + "fos_buckling": 1.2498914864874118, + "fos_yielding": 3.622611351275667, + "deflection": 0.011306666804704994, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.005728)" + }, + "parent_node_id": "node_2631", + "improvement_over_parent": null + }, + "node_2633": { + "node_id": "node_2633", + "content": "MODIFICATION: Increase 8 thickness by 38%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0023)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n Mass: 203.35 kg\n Factor of Safety: 1.25\n Max Deflection: 1.13e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.34537942424646, + "fos_buckling": 1.2519734398204225, + "fos_yielding": 3.6286455613319224, + "deflection": 0.011311128773790688, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.381)" + }, + "parent_node_id": "node_2632", + "improvement_over_parent": null + }, + "node_2634": { + "node_id": "node_2634", + "content": "MODIFICATION: Increase 9 thickness by 48%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0023)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0062)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n Mass: 204.65 kg\n Factor of Safety: 1.25\n Max Deflection: 1.13e-02 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.65086164368262, + "fos_buckling": 1.251760724535696, + "fos_yielding": 3.628029039967171, + "deflection": 0.011301289507706296, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.484)" + }, + "parent_node_id": "node_2633", + "improvement_over_parent": null + }, + "node_2635": { + "node_id": "node_2635", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2634", + "improvement_over_parent": null + }, + "node_2636": { + "node_id": "node_2636", + "content": "INITIAL DESIGN (Trace 376)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n Mass: 147.47 kg\n Factor of Safety: 0.89\n Max Deflection: 1.59e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 147.4699586310503, + "fos_buckling": 0.8861760870594549, + "fos_yielding": 3.756662125180915, + "deflection": 0.015903613600433686, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2637": { + "node_id": "node_2637", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 190.19 kg\n Factor of Safety: 1.09\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.19133357807868, + "fos_buckling": 1.0943403128309157, + "fos_yielding": 4.83907882640736, + "deflection": 0.012407848360565495, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.318)" + }, + "parent_node_id": "node_2636", + "improvement_over_parent": null + }, + "node_2638": { + "node_id": "node_2638", + "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n Mass: 204.08 kg\n Factor of Safety: 1.53\n Max Deflection: 1.13e-02 m\n Status: FEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.07624045370028, + "fos_buckling": 1.5290566140408348, + "fos_yielding": 4.8432413205244575, + "deflection": 0.011339324104646666, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)" + }, + "parent_node_id": "node_2637", + "improvement_over_parent": null + }, + "node_2639": { + "node_id": "node_2639", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n Mass: 204.79 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.79237228017394, + "fos_buckling": 1.5309046243523192, + "fos_yielding": 4.839098460259622, + "deflection": 0.011221741916232646, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)" + }, + "parent_node_id": "node_2638", + "improvement_over_parent": null + }, + "node_2640": { + "node_id": "node_2640", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2639", + "improvement_over_parent": null + }, + "node_2641": { + "node_id": "node_2641", + "content": "INITIAL DESIGN (Trace 377)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0035)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n Mass: 152.91 kg\n Factor of Safety: 0.45\n Max Deflection: 1.73e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 152.90905669543895, + "fos_buckling": 0.45460838224602357, + "fos_yielding": 3.8462636631509857, + "deflection": 0.01733386928307086, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2642": { + "node_id": "node_2642", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 189.05 kg\n Factor of Safety: 0.55\n Max Deflection: 1.41e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.05493673549398, + "fos_buckling": 0.548379689705012, + "fos_yielding": 4.748847816266756, + "deflection": 0.014084945132868074, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.259)" + }, + "parent_node_id": "node_2641", + "improvement_over_parent": null + }, + "node_2643": { + "node_id": "node_2643", + "content": "MODIFICATION: Increase 15 thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 191.23 kg\n Factor of Safety: 0.68\n Max Deflection: 1.36e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.2282675777047, + "fos_buckling": 0.6825213483507274, + "fos_yielding": 4.748402462908914, + "deflection": 0.013626771801788508, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.325)" + }, + "parent_node_id": "node_2642", + "improvement_over_parent": null + }, + "node_2644": { + "node_id": "node_2644", + "content": "MODIFICATION: Increase 16 thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 193.61 kg\n Factor of Safety: 0.68\n Max Deflection: 1.38e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.6081425150839, + "fos_buckling": 0.6821093533907245, + "fos_yielding": 4.74810990167146, + "deflection": 0.013777723337588681, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.289)" + }, + "parent_node_id": "node_2643", + "improvement_over_parent": null + }, + "node_2645": { + "node_id": "node_2645", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n\nPerformance:\n Mass: 204.62 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.62379939097087, + "fos_buckling": 1.529917518090322, + "fos_yielding": 4.8349397283880595, + "deflection": 0.011230570814408264, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.005624)" + }, + "parent_node_id": "node_2644", + "improvement_over_parent": null + }, + "node_2646": { + "node_id": "node_2646", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2645", + "improvement_over_parent": null + }, + "node_2647": { + "node_id": "node_2647", + "content": "INITIAL DESIGN (Trace 378)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0022)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0029)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0028)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0013)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0026)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0029)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0023)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0023)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0010)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0005)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0017)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0022)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0024)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0019)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0021)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0017)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0023)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0020)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0025)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0031)]\n\nPerformance:\n Mass: 85.06 kg\n Factor of Safety: 0.65\n Max Deflection: 2.66e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 85.05525195604748, + "fos_buckling": 0.6541281147198148, + "fos_yielding": 2.0646826210564075, + "deflection": 0.02656692413148641, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2648": { + "node_id": "node_2648", + "content": "MODIFICATION: Increase 16 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0022)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0029)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0028)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0013)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0026)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0029)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0023)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0023)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0010)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0005)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0017)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0022)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0024)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0019)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0021)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0023)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0023)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0020)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0025)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0031)]\n\nPerformance:\n Mass: 86.12 kg\n Factor of Safety: 0.67\n Max Deflection: 2.62e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 86.1179756519599, + "fos_buckling": 0.665486378740001, + "fos_yielding": 2.0666921849210858, + "deflection": 0.026176248000107056, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.305)" + }, + "parent_node_id": "node_2647", + "improvement_over_parent": null + }, + "node_2649": { + "node_id": "node_2649", + "content": "MODIFICATION: Increase 10 thickness by 56%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0022)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0029)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0028)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0013)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0026)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0029)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0023)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0023)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0010)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0008)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0017)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0022)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0024)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0019)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0021)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0023)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0023)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0020)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0025)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0031)]\n\nPerformance:\n Mass: 86.22 kg\n Factor of Safety: 0.66\n Max Deflection: 2.61e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 86.2243191166612, + "fos_buckling": 0.6639089285917051, + "fos_yielding": 2.066416974761984, + "deflection": 0.026130061525114275, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.558)" + }, + "parent_node_id": "node_2648", + "improvement_over_parent": null + }, + "node_2650": { + "node_id": "node_2650", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0028)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0039)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0036)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0017)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0034)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0030)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0030)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0022)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0028)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0032)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0025)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0028)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0030)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0030)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0026)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0041)]\n\nPerformance:\n Mass: 112.07 kg\n Factor of Safety: 0.84\n Max Deflection: 2.02e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 112.071606295143, + "fos_buckling": 0.8441602569900988, + "fos_yielding": 2.6838389540857186, + "deflection": 0.02018131214254199, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.314)" + }, + "parent_node_id": "node_2649", + "improvement_over_parent": null + }, + "node_2651": { + "node_id": "node_2651", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0022)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0040)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0054)]\n\nPerformance:\n Mass: 145.35 kg\n Factor of Safety: 1.06\n Max Deflection: 1.56e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 145.35070231769762, + "fos_buckling": 1.0639736904024608, + "fos_yielding": 3.477388296789845, + "deflection": 0.015637774100090148, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.316)" + }, + "parent_node_id": "node_2650", + "improvement_over_parent": null + }, + "node_2652": { + "node_id": "node_2652", + "content": "MODIFICATION: Increase 4 thickness by 35%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0040)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0054)]\n\nPerformance:\n Mass: 146.29 kg\n Factor of Safety: 1.16\n Max Deflection: 1.56e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 146.28948898865443, + "fos_buckling": 1.1550363862013409, + "fos_yielding": 3.4619672964433787, + "deflection": 0.015576157890133037, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.350)" + }, + "parent_node_id": "node_2651", + "improvement_over_parent": null + }, + "node_2653": { + "node_id": "node_2653", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n\nPerformance:\n Mass: 168.16 kg\n Factor of Safety: 1.30\n Max Deflection: 1.36e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 168.16001519011056, + "fos_buckling": 1.3012372775637226, + "fos_yielding": 3.9772046543005226, + "deflection": 0.013593805080657231, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.161)" + }, + "parent_node_id": "node_2652", + "improvement_over_parent": null + }, + "node_2654": { + "node_id": "node_2654", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.76 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.7583724273999, + "fos_buckling": 1.5307221049818884, + "fos_yielding": 4.838058340240035, + "deflection": 0.011223769996676515, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.239)" + }, + "parent_node_id": "node_2653", + "improvement_over_parent": null + }, + "node_2655": { + "node_id": "node_2655", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2654", + "improvement_over_parent": null + }, + "node_2656": { + "node_id": "node_2656", + "content": "INITIAL DESIGN (Trace 379)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n\nPerformance:\n Mass: 143.08 kg\n Factor of Safety: 0.18\n Max Deflection: 1.55e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 143.07767208529418, + "fos_buckling": 0.1804523899290946, + "fos_yielding": 3.9826919633211415, + "deflection": 0.015498531825366542, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2657": { + "node_id": "node_2657", + "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n\nPerformance:\n Mass: 151.89 kg\n Factor of Safety: 0.94\n Max Deflection: 1.53e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 151.892344207388, + "fos_buckling": 0.936328810726226, + "fos_yielding": 3.9826919633211415, + "deflection": 0.015273154954151276, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004322)" + }, + "parent_node_id": "node_2656", + "improvement_over_parent": null + }, + "node_2658": { + "node_id": "node_2658", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n\nPerformance:\n Mass: 157.89 kg\n Factor of Safety: 1.23\n Max Deflection: 1.45e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.89382502031577, + "fos_buckling": 1.2334755292536927, + "fos_yielding": 3.735504126707695, + "deflection": 0.014455935309616438, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003566)" + }, + "parent_node_id": "node_2657", + "improvement_over_parent": null + }, + "node_2659": { + "node_id": "node_2659", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n Mass: 204.65 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.64741371129418, + "fos_buckling": 1.5300761253552007, + "fos_yielding": 4.83555315025532, + "deflection": 0.011229664202960347, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.325)" + }, + "parent_node_id": "node_2658", + "improvement_over_parent": null + }, + "node_2660": { + "node_id": "node_2660", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2659", + "improvement_over_parent": null + }, + "node_2661": { + "node_id": "node_2661", + "content": "INITIAL DESIGN (Trace 380)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0040)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0023)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0029)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n\nPerformance:\n Mass: 152.72 kg\n Factor of Safety: 0.93\n Max Deflection: 1.64e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 152.72168404744792, + "fos_buckling": 0.9287468757891282, + "fos_yielding": 4.002211380439276, + "deflection": 0.01640665678978858, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2662": { + "node_id": "node_2662", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0040)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0023)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0029)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n\nPerformance:\n Mass: 153.31 kg\n Factor of Safety: 0.93\n Max Deflection: 1.62e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 153.3085989900801, + "fos_buckling": 0.9286850965954988, + "fos_yielding": 4.005408001784048, + "deflection": 0.016184449960900356, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001609)" + }, + "parent_node_id": "node_2661", + "improvement_over_parent": null + }, + "node_2663": { + "node_id": "node_2663", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n Mass: 187.21 kg\n Factor of Safety: 1.09\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 187.2088245294601, + "fos_buckling": 1.0944026782866554, + "fos_yielding": 4.883400963984164, + "deflection": 0.01330970996641584, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.242)" + }, + "parent_node_id": "node_2662", + "improvement_over_parent": null + }, + "node_2664": { + "node_id": "node_2664", + "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n Mass: 196.67 kg\n Factor of Safety: 1.42\n Max Deflection: 1.21e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.6731390915149, + "fos_buckling": 1.4221623857551384, + "fos_yielding": 4.884585892695288, + "deflection": 0.012062952263526225, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)" + }, + "parent_node_id": "node_2663", + "improvement_over_parent": null + }, + "node_2665": { + "node_id": "node_2665", + "content": "MODIFICATION: Increase 2 thickness by 46%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n Mass: 201.39 kg\n Factor of Safety: 1.44\n Max Deflection: 1.13e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.38990660819456, + "fos_buckling": 1.4357301980208403, + "fos_yielding": 4.887061628816656, + "deflection": 0.01132342679181511, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.458)" + }, + "parent_node_id": "node_2664", + "improvement_over_parent": null + }, + "node_2666": { + "node_id": "node_2666", + "content": "MODIFICATION: Increase 4 thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n Mass: 202.03 kg\n Factor of Safety: 1.51\n Max Deflection: 1.13e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 202.0345969359573, + "fos_buckling": 1.5089958084224646, + "fos_yielding": 4.8752207252331194, + "deflection": 0.011299791744041311, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.190)" + }, + "parent_node_id": "node_2665", + "improvement_over_parent": null + }, + "node_2667": { + "node_id": "node_2667", + "content": "MODIFICATION: Increase 14 thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0073)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n Mass: 204.97 kg\n Factor of Safety: 1.50\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.96783092279753, + "fos_buckling": 1.5005176535099363, + "fos_yielding": 4.878780708435825, + "deflection": 0.011180240529592655, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.302)" + }, + "parent_node_id": "node_2666", + "improvement_over_parent": null + }, + "node_2668": { + "node_id": "node_2668", + "content": "MODIFICATION: Increase 4 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0073)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n Mass: 205.98 kg\n Factor of Safety: 1.52\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 205.98063290074913, + "fos_buckling": 1.5235519034846605, + "fos_yielding": 4.864847090618092, + "deflection": 0.011153251483781225, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.259)" + }, + "parent_node_id": "node_2667", + "improvement_over_parent": null + }, + "node_2669": { + "node_id": "node_2669", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2668", + "improvement_over_parent": null + }, + "node_2670": { + "node_id": "node_2670", + "content": "INITIAL DESIGN (Trace 381)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0053)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0050)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0029)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0041)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0039)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0042)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0056)]\n\nPerformance:\n Mass: 139.78 kg\n Factor of Safety: 0.33\n Max Deflection: 1.91e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 139.77824094905887, + "fos_buckling": 0.33411239627452555, + "fos_yielding": 3.6631641430974566, + "deflection": 0.019085355061989977, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2671": { + "node_id": "node_2671", + "content": "MODIFICATION: Increase 5 thickness by 62%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0053)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0050)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0047)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0041)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0039)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0042)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0056)]\n\nPerformance:\n Mass: 143.18 kg\n Factor of Safety: 0.33\n Max Deflection: 1.71e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 143.18226033228984, + "fos_buckling": 0.3333464046443059, + "fos_yielding": 3.6627935752288243, + "deflection": 0.017095901445737395, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.616)" + }, + "parent_node_id": "node_2670", + "improvement_over_parent": null + }, + "node_2672": { + "node_id": "node_2672", + "content": "MODIFICATION: Increase 1 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0053)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0050)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0047)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0041)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0039)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0042)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0056)]\n\nPerformance:\n Mass: 144.65 kg\n Factor of Safety: 0.33\n Max Deflection: 1.69e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 144.65011986876618, + "fos_buckling": 0.3335154711070587, + "fos_yielding": 3.6625778496042076, + "deflection": 0.01691809216199846, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.212)" + }, + "parent_node_id": "node_2671", + "improvement_over_parent": null + }, + "node_2673": { + "node_id": "node_2673", + "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0053)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0050)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0047)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0041)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0039)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0042)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0056)]\n M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n\nPerformance:\n Mass: 151.73 kg\n Factor of Safety: 1.17\n Max Deflection: 1.50e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 151.73440544373426, + "fos_buckling": 1.1729900936342976, + "fos_yielding": 3.6161959755381314, + "deflection": 0.015001961141468392, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.003797)" + }, + "parent_node_id": "node_2672", + "improvement_over_parent": null + }, + "node_2674": { + "node_id": "node_2674", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n\nPerformance:\n Mass: 171.70 kg\n Factor of Safety: 1.30\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.7015876894623, + "fos_buckling": 1.30209128426316, + "fos_yielding": 4.089695862571623, + "deflection": 0.013296501659405473, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.142)" + }, + "parent_node_id": "node_2673", + "improvement_over_parent": null + }, + "node_2675": { + "node_id": "node_2675", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n Mass: 203.92 kg\n Factor of Safety: 1.50\n Max Deflection: 1.12e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.91708952507284, + "fos_buckling": 1.4986593188873791, + "fos_yielding": 4.852466908887014, + "deflection": 0.011249029170711678, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.206)" + }, + "parent_node_id": "node_2674", + "improvement_over_parent": null + }, + "node_2676": { + "node_id": "node_2676", + "content": "MODIFICATION: Increase 4 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n Mass: 204.79 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.7936710367752, + "fos_buckling": 1.5309198107228665, + "fos_yielding": 4.8388079535377875, + "deflection": 0.01122161001560816, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.217)" + }, + "parent_node_id": "node_2675", + "improvement_over_parent": null + }, + "node_2677": { + "node_id": "node_2677", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2676", + "improvement_over_parent": null + }, + "node_2678": { + "node_id": "node_2678", + "content": "INITIAL DESIGN (Trace 382)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 0, + "fos_buckling": 0, + "fos_yielding": 0, + "deflection": Infinity, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2679": { + "node_id": "node_2679", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n M18: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n\nPerformance:\n Mass: 156.76 kg\n Factor of Safety: 0.62\n Max Deflection: 1.50e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 156.7603621548958, + "fos_buckling": 0.6247615734279386, + "fos_yielding": 4.245351147144661, + "deflection": 0.015016837819485167, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001765)" + }, + "parent_node_id": "node_2678", + "improvement_over_parent": null + }, + "node_2680": { + "node_id": "node_2680", + "content": "MODIFICATION: Increase 16 thickness by 58%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0088)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n M18: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n\nPerformance:\n Mass: 163.07 kg\n Factor of Safety: 0.62\n Max Deflection: 1.49e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.0683835280866, + "fos_buckling": 0.6244265141727448, + "fos_yielding": 4.245119829938831, + "deflection": 0.014856797970270716, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.582)" + }, + "parent_node_id": "node_2679", + "improvement_over_parent": null + }, + "node_2681": { + "node_id": "node_2681", + "content": "MODIFICATION: Increase 6 thickness by 35%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0088)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n M18: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n\nPerformance:\n Mass: 166.36 kg\n Factor of Safety: 0.62\n Max Deflection: 1.40e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.36350133284807, + "fos_buckling": 0.623902162275279, + "fos_yielding": 4.244757381497691, + "deflection": 0.014011531688865732, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.348)" + }, + "parent_node_id": "node_2680", + "improvement_over_parent": null + }, + "node_2682": { + "node_id": "node_2682", + "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0088)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n M18: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n\nPerformance:\n Mass: 176.57 kg\n Factor of Safety: 0.62\n Max Deflection: 1.52e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.56693679840023, + "fos_buckling": 0.6222840611428571, + "fos_yielding": 4.12920660242312, + "deflection": 0.015210550799702474, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.005061)" + }, + "parent_node_id": "node_2681", + "improvement_over_parent": null + }, + "node_2683": { + "node_id": "node_2683", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0088)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n M18: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M20: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n\nPerformance:\n Mass: 186.40 kg\n Factor of Safety: 1.31\n Max Deflection: 1.23e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 186.40270436521854, + "fos_buckling": 1.3097250678632684, + "fos_yielding": 4.322950553406473, + "deflection": 0.012311562710407845, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.004969)" + }, + "parent_node_id": "node_2682", + "improvement_over_parent": null + }, + "node_2684": { + "node_id": "node_2684", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0100)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M20: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n\nPerformance:\n Mass: 208.50 kg\n Factor of Safety: 1.44\n Max Deflection: 1.10e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 208.50397914650412, + "fos_buckling": 1.441154948996247, + "fos_yielding": 4.8355159465424595, + "deflection": 0.011038006642620815, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.131)" + }, + "parent_node_id": "node_2683", + "improvement_over_parent": null + }, + "node_2685": { + "node_id": "node_2685", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2684", + "improvement_over_parent": null + }, + "node_2686": { + "node_id": "node_2686", + "content": "INITIAL DESIGN (Trace 383)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n Mass: 171.91 kg\n Factor of Safety: 0.62\n Max Deflection: 1.59e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.91493950642118, + "fos_buckling": 0.6198633152369464, + "fos_yielding": 3.4642192154134754, + "deflection": 0.015877759816987275, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2687": { + "node_id": "node_2687", + "content": "MODIFICATION: Increase 10 thickness by 59%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n Mass: 172.14 kg\n Factor of Safety: 0.62\n Max Deflection: 1.55e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.13945819617803, + "fos_buckling": 0.6198161524574108, + "fos_yielding": 4.224048862525669, + "deflection": 0.015452351008344948, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.590)" + }, + "parent_node_id": "node_2686", + "improvement_over_parent": null + }, + "node_2688": { + "node_id": "node_2688", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 193.76 kg\n Factor of Safety: 0.68\n Max Deflection: 1.38e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.75773819553774, + "fos_buckling": 0.6824791566645645, + "fos_yielding": 4.751680574692301, + "deflection": 0.013767371453508873, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.138)" + }, + "parent_node_id": "node_2687", + "improvement_over_parent": null + }, + "node_2689": { + "node_id": "node_2689", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n\nPerformance:\n Mass: 204.77 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.77339507142472, + "fos_buckling": 1.5308500828847633, + "fos_yielding": 4.838563383600667, + "deflection": 0.011222919917432829, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.005624)" + }, + "parent_node_id": "node_2688", + "improvement_over_parent": null + }, + "node_2690": { + "node_id": "node_2690", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2689", + "improvement_over_parent": null + }, + "node_2691": { + "node_id": "node_2691", + "content": "INITIAL DESIGN (Trace 384)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0029)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n Mass: 147.98 kg\n Factor of Safety: 0.18\n Max Deflection: 4.54e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 147.98144436896612, + "fos_buckling": 0.17840784195513087, + "fos_yielding": 1.103029652536636, + "deflection": 0.04536186866150855, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2692": { + "node_id": "node_2692", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 187.38 kg\n Factor of Safety: 0.22\n Max Deflection: 3.60e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 187.38080208650615, + "fos_buckling": 0.21955251110248014, + "fos_yielding": 1.389959109534919, + "deflection": 0.03596148434437338, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.292)" + }, + "parent_node_id": "node_2691", + "improvement_over_parent": null + }, + "node_2693": { + "node_id": "node_2693", + "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 202.57 kg\n Factor of Safety: 1.49\n Max Deflection: 1.12e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.56535610140756, + "fos_buckling": 1.4920998196969812, + "fos_yielding": 4.835970103922658, + "deflection": 0.011181534008702365, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)" + }, + "parent_node_id": "node_2692", + "improvement_over_parent": null + }, + "node_2694": { + "node_id": "node_2694", + "content": "MODIFICATION: Increase 18 thickness by 34%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0085)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 206.76 kg\n Factor of Safety: 1.48\n Max Deflection: 1.11e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.75655986574927, + "fos_buckling": 1.484037142541864, + "fos_yielding": 4.835938675165959, + "deflection": 0.011101711902916804, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(18, thickness, 1.344)" + }, + "parent_node_id": "node_2693", + "improvement_over_parent": null + }, + "node_2695": { + "node_id": "node_2695", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2694", + "improvement_over_parent": null + }, + "node_2696": { + "node_id": "node_2696", + "content": "INITIAL DESIGN (Trace 385)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0030)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0042)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0039)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0037)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0032)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0025)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0032)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0031)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0030)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0044)]\n\nPerformance:\n Mass: 111.05 kg\n Factor of Safety: 0.16\n Max Deflection: 2.07e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 111.05381341437116, + "fos_buckling": 0.1557648824234204, + "fos_yielding": 2.8495004625031974, + "deflection": 0.02070926292305141, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2697": { + "node_id": "node_2697", + "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0030)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0042)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0039)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0037)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0032)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0025)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0032)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0031)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0030)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0044)]\n M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0033)]\n\nPerformance:\n Mass: 117.80 kg\n Factor of Safety: 0.85\n Max Deflection: 1.98e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 117.80034588842501, + "fos_buckling": 0.8450174028388934, + "fos_yielding": 2.8630645131780796, + "deflection": 0.01980647381333036, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.003254)" + }, + "parent_node_id": "node_2696", + "improvement_over_parent": null + }, + "node_2698": { + "node_id": "node_2698", + "content": "MODIFICATION: Increase 6 thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0030)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0042)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0039)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0037)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0025)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0032)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0031)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0030)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0044)]\n M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0033)]\n\nPerformance:\n Mass: 119.63 kg\n Factor of Safety: 0.93\n Max Deflection: 1.89e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 119.6260663115935, + "fos_buckling": 0.9254370616524901, + "fos_yielding": 2.861792413825833, + "deflection": 0.018901350860397285, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.269)" + }, + "parent_node_id": "node_2697", + "improvement_over_parent": null + }, + "node_2699": { + "node_id": "node_2699", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0052)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0049)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0046)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0031)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0043)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0055)]\n M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n\nPerformance:\n Mass: 148.69 kg\n Factor of Safety: 1.13\n Max Deflection: 1.53e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 148.687625443744, + "fos_buckling": 1.127380514742604, + "fos_yielding": 3.5538368830204004, + "deflection": 0.015272686737516231, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.259)" + }, + "parent_node_id": "node_2698", + "improvement_over_parent": null + }, + "node_2700": { + "node_id": "node_2700", + "content": "MODIFICATION: Increase 7 thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0052)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0049)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0046)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0040)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0043)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0055)]\n M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n\nPerformance:\n Mass: 150.19 kg\n Factor of Safety: 1.18\n Max Deflection: 1.52e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 150.18857671953816, + "fos_buckling": 1.1816495623172407, + "fos_yielding": 3.5538759879042416, + "deflection": 0.01518084763039353, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.294)" + }, + "parent_node_id": "node_2699", + "improvement_over_parent": null + }, + "node_2701": { + "node_id": "node_2701", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0054)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n\nPerformance:\n Mass: 184.35 kg\n Factor of Safety: 1.41\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.35343985250347, + "fos_buckling": 1.4051695259057368, + "fos_yielding": 4.358318389321637, + "deflection": 0.01242939798081608, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.247)" + }, + "parent_node_id": "node_2700", + "improvement_over_parent": null + }, + "node_2702": { + "node_id": "node_2702", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n Mass: 204.65 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.6525825353483, + "fos_buckling": 1.5301485468726113, + "fos_yielding": 4.835583020691083, + "deflection": 0.011229679554274794, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.121)" + }, + "parent_node_id": "node_2701", + "improvement_over_parent": null + }, + "node_2703": { + "node_id": "node_2703", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2702", + "improvement_over_parent": null + }, + "node_2704": { + "node_id": "node_2704", + "content": "INITIAL DESIGN (Trace 386)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0054)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 192.88 kg\n Factor of Safety: 0.96\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.87940373437246, + "fos_buckling": 0.9586842820479304, + "fos_yielding": 4.847376233896947, + "deflection": 0.013359436018941379, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2705": { + "node_id": "node_2705", + "content": "MODIFICATION: Increase 17 thickness by 55%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0054)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 195.76 kg\n Factor of Safety: 0.95\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.76497607824922, + "fos_buckling": 0.9536470601083882, + "fos_yielding": 4.847236714571681, + "deflection": 0.013360556853807845, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.553)" + }, + "parent_node_id": "node_2704", + "improvement_over_parent": null + }, + "node_2706": { + "node_id": "node_2706", + "content": "MODIFICATION: Increase 5 thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0054)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 197.61 kg\n Factor of Safety: 0.95\n Max Deflection: 1.32e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.60668651471326, + "fos_buckling": 0.9494557890610392, + "fos_yielding": 4.851519007479005, + "deflection": 0.013206327824134407, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.190)" + }, + "parent_node_id": "node_2705", + "improvement_over_parent": null + }, + "node_2707": { + "node_id": "node_2707", + "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0054)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n Mass: 200.72 kg\n Factor of Safety: 1.53\n Max Deflection: 1.18e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 200.72206441443367, + "fos_buckling": 1.5261236380586793, + "fos_yielding": 4.834522471576587, + "deflection": 0.011769271105639299, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)" + }, + "parent_node_id": "node_2706", + "improvement_over_parent": null + }, + "node_2708": { + "node_id": "node_2708", + "content": "MODIFICATION: Increase 2 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n Mass: 204.69 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.69326205324253, + "fos_buckling": 1.530400943681379, + "fos_yielding": 4.836790828933991, + "deflection": 0.011227057083172124, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.362)" + }, + "parent_node_id": "node_2707", + "improvement_over_parent": null + }, + "node_2709": { + "node_id": "node_2709", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2708", + "improvement_over_parent": null + }, + "node_2710": { + "node_id": "node_2710", + "content": "INITIAL DESIGN (Trace 387)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0040)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0028)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0029)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n\nPerformance:\n Mass: 147.44 kg\n Factor of Safety: 0.43\n Max Deflection: 2.16e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 147.4429062672274, + "fos_buckling": 0.43048215005107776, + "fos_yielding": 2.933807683059716, + "deflection": 0.021610047324768553, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2711": { + "node_id": "node_2711", + "content": "MODIFICATION: Increase 15 thickness by 59%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0040)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0029)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n\nPerformance:\n Mass: 150.32 kg\n Factor of Safety: 0.43\n Max Deflection: 2.15e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 150.31799429479162, + "fos_buckling": 0.43037691288518337, + "fos_yielding": 2.933422274060003, + "deflection": 0.021543038307733017, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.587)" + }, + "parent_node_id": "node_2710", + "improvement_over_parent": null + }, + "node_2712": { + "node_id": "node_2712", + "content": "MODIFICATION: Increase 3 thickness by 45%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0029)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n\nPerformance:\n Mass: 153.87 kg\n Factor of Safety: 0.43\n Max Deflection: 2.15e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 153.87292212247613, + "fos_buckling": 0.43024686258780936, + "fos_yielding": 2.9329458717045784, + "deflection": 0.02154845553107305, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.445)" + }, + "parent_node_id": "node_2711", + "improvement_over_parent": null + }, + "node_2713": { + "node_id": "node_2713", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n Mass: 179.42 kg\n Factor of Safety: 0.49\n Max Deflection: 1.85e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.42015521465987, + "fos_buckling": 0.4879302327561597, + "fos_yielding": 3.4140239015990677, + "deflection": 0.01852906152120985, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.182)" + }, + "parent_node_id": "node_2712", + "improvement_over_parent": null + }, + "node_2714": { + "node_id": "node_2714", + "content": "MODIFICATION: Increase 18 thickness by 46%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n Mass: 181.96 kg\n Factor of Safety: 0.49\n Max Deflection: 1.85e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.96343443912315, + "fos_buckling": 0.4877548751196607, + "fos_yielding": 3.41336385401321, + "deflection": 0.01851951626552244, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(18, thickness, 1.460)" + }, + "parent_node_id": "node_2713", + "improvement_over_parent": null + }, + "node_2715": { + "node_id": "node_2715", + "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 202.81 kg\n Factor of Safety: 1.53\n Max Deflection: 1.13e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 202.81164592810165, + "fos_buckling": 1.5302446436617538, + "fos_yielding": 4.832703810102543, + "deflection": 0.011333882493445083, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.007737)" + }, + "parent_node_id": "node_2714", + "improvement_over_parent": null + }, + "node_2716": { + "node_id": "node_2716", + "content": "MODIFICATION: Increase 16 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.68 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.67709415634434, + "fos_buckling": 1.5304415980981894, + "fos_yielding": 4.83629914793486, + "deflection": 0.011227920620698412, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.224)" + }, + "parent_node_id": "node_2715", + "improvement_over_parent": null + }, + "node_2717": { + "node_id": "node_2717", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2716", + "improvement_over_parent": null + }, + "node_2718": { + "node_id": "node_2718", + "content": "INITIAL DESIGN (Trace 388)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (17 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n\nPerformance:\n Mass: 137.14 kg\n Factor of Safety: 0.15\n Max Deflection: 4.07e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 137.13797362639588, + "fos_buckling": 0.14655272635050928, + "fos_yielding": 1.3980531056113963, + "deflection": 40741661358597.93, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2719": { + "node_id": "node_2719", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (17 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n Mass: 162.49 kg\n Factor of Safety: 1.26\n Max Deflection: 1.03e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.48656708554049, + "fos_buckling": 1.2622017634702096, + "fos_yielding": 5.647169731738604, + "deflection": 10267565434731.883, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.203)" + }, + "parent_node_id": "node_2718", + "improvement_over_parent": null + }, + "node_2720": { + "node_id": "node_2720", + "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n Mass: 172.00 kg\n Factor of Safety: 0.49\n Max Deflection: 2.31e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.00222490254083, + "fos_buckling": 0.48792292229350387, + "fos_yielding": 2.8871202614693727, + "deflection": 0.02305234625203403, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.005227)" + }, + "parent_node_id": "node_2719", + "improvement_over_parent": null + }, + "node_2721": { + "node_id": "node_2721", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n\nPerformance:\n Mass: 183.02 kg\n Factor of Safety: 0.49\n Max Deflection: 1.85e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.0178817784278, + "fos_buckling": 0.48746724671007036, + "fos_yielding": 3.411073157739949, + "deflection": 0.018535663913499, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.005624)" + }, + "parent_node_id": "node_2720", + "improvement_over_parent": null + }, + "node_2722": { + "node_id": "node_2722", + "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 203.87 kg\n Factor of Safety: 1.53\n Max Deflection: 1.14e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 203.8660932674063, + "fos_buckling": 1.5284044655332358, + "fos_yielding": 4.837387705642378, + "deflection": 0.011351205511966592, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.007737)" + }, + "parent_node_id": "node_2721", + "improvement_over_parent": null + }, + "node_2723": { + "node_id": "node_2723", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n Mass: 204.58 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.58222509387997, + "fos_buckling": 1.5302516053667279, + "fos_yielding": 4.833249069250219, + "deflection": 0.011233512093247633, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)" + }, + "parent_node_id": "node_2722", + "improvement_over_parent": null + }, + "node_2724": { + "node_id": "node_2724", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2723", + "improvement_over_parent": null + }, + "node_2725": { + "node_id": "node_2725", + "content": "INITIAL DESIGN (Trace 389)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0020)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0027)]\n\nPerformance:\n Mass: 125.37 kg\n Factor of Safety: 0.19\n Max Deflection: 4.56e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 125.365999888836, + "fos_buckling": 0.1894602199021682, + "fos_yielding": 0.9860844127543579, + "deflection": 45629006540397.12, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2726": { + "node_id": "node_2726", + "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0020)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0027)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n\nPerformance:\n Mass: 142.26 kg\n Factor of Safety: 0.21\n Max Deflection: 1.66e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 142.25963703289958, + "fos_buckling": 0.20642630052436323, + "fos_yielding": 3.9072257613354924, + "deflection": 0.016582079382822867, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.006155)" + }, + "parent_node_id": "node_2725", + "improvement_over_parent": null + }, + "node_2727": { + "node_id": "node_2727", + "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0020)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0027)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n\nPerformance:\n Mass: 151.52 kg\n Factor of Safety: 0.92\n Max Deflection: 1.51e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 151.51968221106065, + "fos_buckling": 0.9200062442713058, + "fos_yielding": 3.924237211992689, + "deflection": 0.015092710548253752, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004557)" + }, + "parent_node_id": "node_2726", + "improvement_over_parent": null + }, + "node_2728": { + "node_id": "node_2728", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n Mass: 186.90 kg\n Factor of Safety: 1.09\n Max Deflection: 1.23e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 186.9016449056105, + "fos_buckling": 1.0938454712503523, + "fos_yielding": 4.834348468264792, + "deflection": 0.012304592487578255, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.256)" + }, + "parent_node_id": "node_2727", + "improvement_over_parent": null + }, + "node_2729": { + "node_id": "node_2729", + "content": "MODIFICATION: Increase 11 thickness by 65%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n Mass: 188.06 kg\n Factor of Safety: 1.09\n Max Deflection: 1.23e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.06380664925877, + "fos_buckling": 1.0936299866189014, + "fos_yielding": 4.833913477545377, + "deflection": 0.01232079925850042, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.653)" + }, + "parent_node_id": "node_2728", + "improvement_over_parent": null + }, + "node_2730": { + "node_id": "node_2730", + "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n Mass: 201.95 kg\n Factor of Safety: 1.47\n Max Deflection: 1.12e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.94871352488036, + "fos_buckling": 1.468053821725917, + "fos_yielding": 4.835007591070986, + "deflection": 0.011168514880965893, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)" + }, + "parent_node_id": "node_2729", + "improvement_over_parent": null + }, + "node_2731": { + "node_id": "node_2731", + "content": "MODIFICATION: Increase 18 thickness by 48%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0114)]\n M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n Mass: 210.59 kg\n Factor of Safety: 1.48\n Max Deflection: 1.09e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 210.58704913090773, + "fos_buckling": 1.482020416235332, + "fos_yielding": 4.834470429210777, + "deflection": 0.010873801737022279, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(18, thickness, 1.479)" + }, + "parent_node_id": "node_2730", + "improvement_over_parent": null + }, + "node_2732": { + "node_id": "node_2732", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2731", + "improvement_over_parent": null + }, + "node_2733": { + "node_id": "node_2733", + "content": "INITIAL DESIGN (Trace 390)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0054)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0027)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0057)]\n\nPerformance:\n Mass: 144.26 kg\n Factor of Safety: 0.22\n Max Deflection: 1.67e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 144.25691999480378, + "fos_buckling": 0.221966033559051, + "fos_yielding": 3.740263183705275, + "deflection": 0.016665682868161707, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2734": { + "node_id": "node_2734", + "content": "MODIFICATION: Increase 10 thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0054)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0027)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0057)]\n\nPerformance:\n Mass: 144.37 kg\n Factor of Safety: 0.26\n Max Deflection: 1.65e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 144.36951102501243, + "fos_buckling": 0.257408109529392, + "fos_yielding": 3.740253321534198, + "deflection": 0.016488098577592508, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.279)" + }, + "parent_node_id": "node_2733", + "improvement_over_parent": null + }, + "node_2735": { + "node_id": "node_2735", + "content": "MODIFICATION: Increase 4 thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0054)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0027)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0057)]\n\nPerformance:\n Mass: 145.24 kg\n Factor of Safety: 0.26\n Max Deflection: 1.65e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 145.24158823815137, + "fos_buckling": 0.25743183769325884, + "fos_yielding": 3.729174635199776, + "deflection": 0.01645403538482861, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.295)" + }, + "parent_node_id": "node_2734", + "improvement_over_parent": null + }, + "node_2736": { + "node_id": "node_2736", + "content": "MODIFICATION: Increase 16 thickness by 58%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0054)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0057)]\n\nPerformance:\n Mass: 148.28 kg\n Factor of Safety: 0.34\n Max Deflection: 1.66e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 148.2839487272021, + "fos_buckling": 0.33936286226655515, + "fos_yielding": 3.728963522173247, + "deflection": 0.016561203787575716, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.577)" + }, + "parent_node_id": "node_2735", + "improvement_over_parent": null + }, + "node_2737": { + "node_id": "node_2737", + "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0054)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0057)]\n M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n\nPerformance:\n Mass: 155.51 kg\n Factor of Safety: 1.22\n Max Deflection: 1.47e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 155.5128957738009, + "fos_buckling": 1.2175564475999598, + "fos_yielding": 3.6794475045982473, + "deflection": 0.014671415877409619, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.003880)" + }, + "parent_node_id": "node_2736", + "improvement_over_parent": null + }, + "node_2738": { + "node_id": "node_2738", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n\nPerformance:\n Mass: 172.22 kg\n Factor of Safety: 1.33\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.224901620475, + "fos_buckling": 1.3276963082468807, + "fos_yielding": 4.0730288432399595, + "deflection": 0.01328018239310896, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.116)" + }, + "parent_node_id": "node_2737", + "improvement_over_parent": null + }, + "node_2739": { + "node_id": "node_2739", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n Mass: 204.84 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.8386956666374, + "fos_buckling": 1.5312431399344175, + "fos_yielding": 4.840095174275168, + "deflection": 0.011218949467735117, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.208)" + }, + "parent_node_id": "node_2738", + "improvement_over_parent": null + }, + "node_2740": { + "node_id": "node_2740", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2739", + "improvement_over_parent": null + }, + "node_2741": { + "node_id": "node_2741", + "content": "INITIAL DESIGN (Trace 391)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n\nPerformance:\n Mass: 117.11 kg\n Factor of Safety: 0.20\n Max Deflection: 9.50e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 117.1123121231471, + "fos_buckling": 0.1965246074625646, + "fos_yielding": 0.4355978581753069, + "deflection": 0.09496176756226576, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2742": { + "node_id": "node_2742", + "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n\nPerformance:\n Mass: 127.17 kg\n Factor of Safety: 0.24\n Max Deflection: 4.27e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 127.17027452527684, + "fos_buckling": 0.23937977556170992, + "fos_yielding": 1.3884380740050042, + "deflection": 0.04273793217239898, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.004575)" + }, + "parent_node_id": "node_2741", + "improvement_over_parent": null + }, + "node_2743": { + "node_id": "node_2743", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n\nPerformance:\n Mass: 153.46 kg\n Factor of Safety: 0.28\n Max Deflection: 3.56e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 153.45577674405075, + "fos_buckling": 0.28098217274581494, + "fos_yielding": 1.6681552670783706, + "deflection": 0.035559701094227326, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.222)" + }, + "parent_node_id": "node_2742", + "improvement_over_parent": null + }, + "node_2744": { + "node_id": "node_2744", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n\nPerformance:\n Mass: 163.44 kg\n Factor of Safety: 1.27\n Max Deflection: 1.40e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.44412005175244, + "fos_buckling": 1.2714155034863621, + "fos_yielding": 3.866618325422725, + "deflection": 0.013958329700735676, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.005074)" + }, + "parent_node_id": "node_2743", + "improvement_over_parent": null + }, + "node_2745": { + "node_id": "node_2745", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n Mass: 204.54 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.53564648960284, + "fos_buckling": 1.530653765272115, + "fos_yielding": 4.833391888271031, + "deflection": 0.01122136348424921, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.276)" + }, + "parent_node_id": "node_2744", + "improvement_over_parent": null + }, + "node_2746": { + "node_id": "node_2746", + "content": "MODIFICATION: Increase 9 thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0052)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n Mass: 205.21 kg\n Factor of Safety: 1.54\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 205.209849007185, + "fos_buckling": 1.5436751819978891, + "fos_yielding": 4.832867576264371, + "deflection": 0.011215298986206913, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.244)" + }, + "parent_node_id": "node_2745", + "improvement_over_parent": null + }, + "node_2747": { + "node_id": "node_2747", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2746", + "improvement_over_parent": null + }, + "node_2748": { + "node_id": "node_2748", + "content": "INITIAL DESIGN (Trace 392)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0023)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n Mass: 148.14 kg\n Factor of Safety: 0.37\n Max Deflection: 1.98e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 148.1353415973759, + "fos_buckling": 0.37276414851008266, + "fos_yielding": 3.2946087258201624, + "deflection": 0.019761393667490686, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2749": { + "node_id": "node_2749", + "content": "MODIFICATION: Increase 12 thickness by 60%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n Mass: 150.35 kg\n Factor of Safety: 0.37\n Max Deflection: 1.84e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 150.3528416041471, + "fos_buckling": 0.37255771580618, + "fos_yielding": 3.2937697067466614, + "deflection": 0.01839605166478071, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.600)" + }, + "parent_node_id": "node_2748", + "improvement_over_parent": null + }, + "node_2750": { + "node_id": "node_2750", + "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n\nPerformance:\n Mass: 160.32 kg\n Factor of Safety: 1.27\n Max Deflection: 1.42e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 160.32091776068626, + "fos_buckling": 1.2654617602173017, + "fos_yielding": 3.8555285975238296, + "deflection": 0.014190134906300162, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.004676)" + }, + "parent_node_id": "node_2749", + "improvement_over_parent": null + }, + "node_2751": { + "node_id": "node_2751", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 201.83 kg\n Factor of Safety: 1.53\n Max Deflection: 1.13e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 201.8294288103993, + "fos_buckling": 1.5258867531513831, + "fos_yielding": 4.847348511581638, + "deflection": 0.011340631482292082, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.284)" + }, + "parent_node_id": "node_2750", + "improvement_over_parent": null + }, + "node_2752": { + "node_id": "node_2752", + "content": "MODIFICATION: Increase 17 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0088)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 206.57 kg\n Factor of Safety: 1.52\n Max Deflection: 1.13e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 206.5739113260111, + "fos_buckling": 1.5232611621772263, + "fos_yielding": 4.847525644720723, + "deflection": 0.011259087138528745, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.391)" + }, + "parent_node_id": "node_2751", + "improvement_over_parent": null + }, + "node_2753": { + "node_id": "node_2753", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0088)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n Mass: 207.29 kg\n Factor of Safety: 1.48\n Max Deflection: 1.11e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 207.29004315248477, + "fos_buckling": 1.4760007735710072, + "fos_yielding": 4.840837514926402, + "deflection": 0.011077955114008883, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)" + }, + "parent_node_id": "node_2752", + "improvement_over_parent": null + }, + "node_2754": { + "node_id": "node_2754", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2753", + "improvement_over_parent": null + }, + "node_2755": { + "node_id": "node_2755", + "content": "INITIAL DESIGN (Trace 393)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n Mass: 166.89 kg\n Factor of Safety: 1.27\n Max Deflection: 1.36e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.88828061700417, + "fos_buckling": 1.2688252095694026, + "fos_yielding": 4.020011635241645, + "deflection": 0.013594263251327381, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2756": { + "node_id": "node_2756", + "content": "MODIFICATION: Increase 19 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n Mass: 169.76 kg\n Factor of Safety: 1.31\n Max Deflection: 1.35e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.7591823290337, + "fos_buckling": 1.3127707329500622, + "fos_yielding": 4.020089989120709, + "deflection": 0.013476622767578232, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(19, thickness, 1.357)" + }, + "parent_node_id": "node_2755", + "improvement_over_parent": null + }, + "node_2757": { + "node_id": "node_2757", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.39 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.3892431430348, + "fos_buckling": 1.529722158821412, + "fos_yielding": 4.835601835435041, + "deflection": 0.011249536012301194, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.224)" + }, + "parent_node_id": "node_2756", + "improvement_over_parent": null + }, + "node_2758": { + "node_id": "node_2758", + "content": "MODIFICATION: Increase 10 thickness by 55%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.63 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.62765362367858, + "fos_buckling": 1.5300024890950517, + "fos_yielding": 4.834916585077056, + "deflection": 0.01123090407348123, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.548)" + }, + "parent_node_id": "node_2757", + "improvement_over_parent": null + }, + "node_2759": { + "node_id": "node_2759", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2758", + "improvement_over_parent": null + }, + "node_2760": { + "node_id": "node_2760", + "content": "INITIAL DESIGN (Trace 394)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0025)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n\nPerformance:\n Mass: 149.33 kg\n Factor of Safety: 0.17\n Max Deflection: 4.12e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 149.33049655648466, + "fos_buckling": 0.1695060096157983, + "fos_yielding": 0.9860844127543579, + "deflection": 41244004693508.52, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2761": { + "node_id": "node_2761", + "content": "MODIFICATION: Increase 17 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0025)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n\nPerformance:\n Mass: 151.22 kg\n Factor of Safety: 0.49\n Max Deflection: 1.82e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 151.21790833057184, + "fos_buckling": 0.48742823226669346, + "fos_yielding": 3.9443376510174306, + "deflection": 18160754915810.086, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.208)" + }, + "parent_node_id": "node_2760", + "improvement_over_parent": null + }, + "node_2762": { + "node_id": "node_2762", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 179.91 kg\n Factor of Safety: 0.50\n Max Deflection: 1.06e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.90759223046913, + "fos_buckling": 0.5030588228571846, + "fos_yielding": 2.3160313801933565, + "deflection": 10552869003849.031, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.208)" + }, + "parent_node_id": "node_2761", + "improvement_over_parent": null + }, + "node_2763": { + "node_id": "node_2763", + "content": "MODIFICATION: Increase 0 thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 181.15 kg\n Factor of Safety: 0.13\n Max Deflection: 3.69e+13 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.1459794942913, + "fos_buckling": 0.12576470571429615, + "fos_yielding": 1.2701266789633001, + "deflection": 36882958889045.91, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.186)" + }, + "parent_node_id": "node_2762", + "improvement_over_parent": null + }, + "node_2764": { + "node_id": "node_2764", + "content": "MODIFICATION: Increase 16 thickness by 62%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 184.26 kg\n Factor of Safety: 0.34\n Max Deflection: 6.89e+12 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.26327969988088, + "fos_buckling": 0.33537254857145643, + "fos_yielding": 4.747457104299941, + "deflection": 6893871483954.361, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.621)" + }, + "parent_node_id": "node_2763", + "improvement_over_parent": null + }, + "node_2765": { + "node_id": "node_2765", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n\nPerformance:\n Mass: 193.15 kg\n Factor of Safety: 0.43\n Max Deflection: 1.30e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.15226997845062, + "fos_buckling": 0.4255683903260175, + "fos_yielding": 4.905253836426449, + "deflection": 0.012978011031884371, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.004454)" + }, + "parent_node_id": "node_2764", + "improvement_over_parent": null + }, + "node_2766": { + "node_id": "node_2766", + "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n Mass: 202.67 kg\n Factor of Safety: 1.53\n Max Deflection: 1.13e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 202.66792779545096, + "fos_buckling": 1.5307282916491696, + "fos_yielding": 4.834919384779075, + "deflection": 0.011345451385147353, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.005227)" + }, + "parent_node_id": "node_2765", + "improvement_over_parent": null + }, + "node_2767": { + "node_id": "node_2767", + "content": "MODIFICATION: Increase 16 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0063)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n Mass: 204.67 kg\n Factor of Safety: 1.53\n Max Deflection: 1.14e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.67462025302365, + "fos_buckling": 1.5289808381490895, + "fos_yielding": 4.83397965704898, + "deflection": 0.011380948461846488, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.263)" + }, + "parent_node_id": "node_2766", + "improvement_over_parent": null + }, + "node_2768": { + "node_id": "node_2768", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2767", + "improvement_over_parent": null + }, + "node_2769": { + "node_id": "node_2769", + "content": "INITIAL DESIGN (Trace 395)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 197.91 kg\n Factor of Safety: 1.28\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.91392934023065, + "fos_buckling": 1.2783335013757495, + "fos_yielding": 4.835551430919427, + "deflection": 0.01180806899035872, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2770": { + "node_id": "node_2770", + "content": "MODIFICATION: Increase 13 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 200.32 kg\n Factor of Safety: 1.43\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.32137922884866, + "fos_buckling": 1.431863343299144, + "fos_yielding": 4.868332273800951, + "deflection": 0.01166800971362228, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.261)" + }, + "parent_node_id": "node_2769", + "improvement_over_parent": null + }, + "node_2771": { + "node_id": "node_2771", + "content": "MODIFICATION: Increase 4 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 201.72 kg\n Factor of Safety: 1.52\n Max Deflection: 1.16e-02 m\n Status: FEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 201.71599137606543, + "fos_buckling": 1.5239848303479337, + "fos_yielding": 4.845129870630993, + "deflection": 0.011622362494004163, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.391)" + }, + "parent_node_id": "node_2770", + "improvement_over_parent": null + }, + "node_2772": { + "node_id": "node_2772", + "content": "MODIFICATION: Increase 1 thickness by 37%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.69 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.69330560798412, + "fos_buckling": 1.5303951098648176, + "fos_yielding": 4.836733350776679, + "deflection": 0.011227329155563522, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.366)" + }, + "parent_node_id": "node_2771", + "improvement_over_parent": null + }, + "node_2773": { + "node_id": "node_2773", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2772", + "improvement_over_parent": null + }, + "node_2774": { + "node_id": "node_2774", + "content": "INITIAL DESIGN (Trace 396)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0037)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n\nPerformance:\n Mass: 162.40 kg\n Factor of Safety: 0.60\n Max Deflection: 1.63e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.40339706274736, + "fos_buckling": 0.5987682884732489, + "fos_yielding": 4.019266742305038, + "deflection": 0.016252115897346743, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2775": { + "node_id": "node_2775", + "content": "MODIFICATION: Increase 13 thickness by 38%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n\nPerformance:\n Mass: 165.17 kg\n Factor of Safety: 0.60\n Max Deflection: 1.61e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.1707917697006, + "fos_buckling": 0.5989087671733331, + "fos_yielding": 4.053847198107157, + "deflection": 0.016090061341459422, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.377)" + }, + "parent_node_id": "node_2774", + "improvement_over_parent": null + }, + "node_2776": { + "node_id": "node_2776", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 193.59 kg\n Factor of Safety: 0.68\n Max Deflection: 1.38e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.59215788237913, + "fos_buckling": 0.682014516065177, + "fos_yielding": 4.74765968125088, + "deflection": 0.013779308673363418, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.189)" + }, + "parent_node_id": "node_2775", + "improvement_over_parent": null + }, + "node_2777": { + "node_id": "node_2777", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n\nPerformance:\n Mass: 204.61 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.6078147582661, + "fos_buckling": 1.5298039712535394, + "fos_yielding": 4.834485101054809, + "deflection": 0.01123177194958739, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.005624)" + }, + "parent_node_id": "node_2776", + "improvement_over_parent": null + }, + "node_2778": { + "node_id": "node_2778", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2777", + "improvement_over_parent": null + }, + "node_2779": { + "node_id": "node_2779", + "content": "INITIAL DESIGN (Trace 397)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n Mass: 157.86 kg\n Factor of Safety: 1.26\n Max Deflection: 1.44e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.85931540946564, + "fos_buckling": 1.2582982286326234, + "fos_yielding": 3.8226394833643753, + "deflection": 0.014435726000164474, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2780": { + "node_id": "node_2780", + "content": "MODIFICATION: Increase 18 thickness by 38%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n Mass: 159.65 kg\n Factor of Safety: 1.26\n Max Deflection: 1.45e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.6488296253163, + "fos_buckling": 1.2560215060801583, + "fos_yielding": 3.8214410232099567, + "deflection": 0.0145073801770155, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(18, thickness, 1.383)" + }, + "parent_node_id": "node_2779", + "improvement_over_parent": null + }, + "node_2781": { + "node_id": "node_2781", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 202.45 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 202.44939369789856, + "fos_buckling": 1.5290399023865662, + "fos_yielding": 4.839246994101127, + "deflection": 0.011506967065077766, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.294)" + }, + "parent_node_id": "node_2780", + "improvement_over_parent": null + }, + "node_2782": { + "node_id": "node_2782", + "content": "MODIFICATION: Increase 2 thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.87 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.86620181660882, + "fos_buckling": 1.531333277905615, + "fos_yielding": 4.840459834802206, + "deflection": 0.01121806520104356, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.195)" + }, + "parent_node_id": "node_2781", + "improvement_over_parent": null + }, + "node_2783": { + "node_id": "node_2783", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2782", + "improvement_over_parent": null + }, + "node_2784": { + "node_id": "node_2784", + "content": "INITIAL DESIGN (Trace 398)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 197.64 kg\n Factor of Safety: 1.42\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.6438544172997, + "fos_buckling": 1.420359924455315, + "fos_yielding": 4.785336204492709, + "deflection": 0.011592245591741589, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2785": { + "node_id": "node_2785", + "content": "MODIFICATION: Increase 9 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 197.82 kg\n Factor of Safety: 1.42\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.81590264120442, + "fos_buckling": 1.4242688411917606, + "fos_yielding": 4.786287582276808, + "deflection": 0.011595071193968598, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.198)" + }, + "parent_node_id": "node_2784", + "improvement_over_parent": null + }, + "node_2786": { + "node_id": "node_2786", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n Mass: 198.53 kg\n Factor of Safety: 1.39\n Max Deflection: 1.14e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.53203446767807, + "fos_buckling": 1.394000787822544, + "fos_yielding": 4.778791711096183, + "deflection": 0.011375089466165974, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)" + }, + "parent_node_id": "node_2785", + "improvement_over_parent": null + }, + "node_2787": { + "node_id": "node_2787", + "content": "MODIFICATION: Increase 0 thickness by 61%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n Mass: 201.59 kg\n Factor of Safety: 1.45\n Max Deflection: 1.11e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.58790126256454, + "fos_buckling": 1.4466222647526634, + "fos_yielding": 4.838907739174009, + "deflection": 0.011144611740607336, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.610)" + }, + "parent_node_id": "node_2786", + "improvement_over_parent": null + }, + "node_2788": { + "node_id": "node_2788", + "content": "MODIFICATION: Increase 18 thickness by 62%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0102)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n Mass: 208.94 kg\n Factor of Safety: 1.44\n Max Deflection: 1.10e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 208.9396145090244, + "fos_buckling": 1.4355376126912403, + "fos_yielding": 4.838816974498663, + "deflection": 0.011022152067946768, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(18, thickness, 1.621)" + }, + "parent_node_id": "node_2787", + "improvement_over_parent": null + }, + "node_2789": { + "node_id": "node_2789", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2788", + "improvement_over_parent": null + }, + "node_2790": { + "node_id": "node_2790", + "content": "INITIAL DESIGN (Trace 399)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M13: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M14: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M15: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 154.95 kg\n Factor of Safety: 0.80\n Max Deflection: 7.75e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 154.94724853107044, + "fos_buckling": 0.803523847581791, + "fos_yielding": 4.563113893806498, + "deflection": 7750509206076.875, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2791": { + "node_id": "node_2791", + "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (17 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M13: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M14: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M15: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n Mass: 166.37 kg\n Factor of Safety: 0.78\n Max Deflection: 5.55e+12 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.37444869711007, + "fos_buckling": 0.7812616425256637, + "fos_yielding": 3.9443376510174315, + "deflection": 5549189314982.24, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.005728)" + }, + "parent_node_id": "node_2790", + "improvement_over_parent": null + }, + "node_2792": { + "node_id": "node_2792", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M13: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M14: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M15: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 171.68 kg\n Factor of Safety: 0.45\n Max Deflection: 1.73e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.68249417410456, + "fos_buckling": 0.45012442354820975, + "fos_yielding": 4.139142965007563, + "deflection": 0.017251965437826384, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)" + }, + "parent_node_id": "node_2791", + "improvement_over_parent": null + }, + "node_2793": { + "node_id": "node_2793", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M13: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M14: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M15: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n\nPerformance:\n Mass: 182.70 kg\n Factor of Safety: 0.45\n Max Deflection: 1.55e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.69815104999154, + "fos_buckling": 0.4480783887800411, + "fos_yielding": 4.135410092268285, + "deflection": 0.015504250406231228, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.005624)" + }, + "parent_node_id": "node_2792", + "improvement_over_parent": null + }, + "node_2794": { + "node_id": "node_2794", + "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M13: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M14: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M15: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 195.24 kg\n Factor of Safety: 1.09\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.23714338996083, + "fos_buckling": 1.0934204097789395, + "fos_yielding": 4.835316734300887, + "deflection": 0.012386880401953506, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)" + }, + "parent_node_id": "node_2793", + "improvement_over_parent": null + }, + "node_2795": { + "node_id": "node_2795", + "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M13: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M14: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M15: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70145795201566, + "fos_buckling": 1.5304015070752564, + "fos_yielding": 4.836783098304737, + "deflection": 0.011226770947673296, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)" + }, + "parent_node_id": "node_2794", + "improvement_over_parent": null + }, + "node_2796": { + "node_id": "node_2796", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2795", + "improvement_over_parent": null + }, + "node_2797": { + "node_id": "node_2797", + "content": "INITIAL DESIGN (Trace 400)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0020)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n Mass: 158.64 kg\n Factor of Safety: 1.06\n Max Deflection: 1.42e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 158.64304528011172, + "fos_buckling": 1.0573206459803788, + "fos_yielding": 3.8123896783116256, + "deflection": 0.014216572264669198, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2798": { + "node_id": "node_2798", + "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0023)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0039)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nPerformance:\n Mass: 175.36 kg\n Factor of Safety: 1.16\n Max Deflection: 1.29e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.36373125268508, + "fos_buckling": 1.1608051135170299, + "fos_yielding": 4.211848499670041, + "deflection": 0.012893496375050368, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.114)" + }, + "parent_node_id": "node_2797", + "improvement_over_parent": null + }, + "node_2799": { + "node_id": "node_2799", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 201.89 kg\n Factor of Safety: 1.32\n Max Deflection: 1.12e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.89304476795195, + "fos_buckling": 1.3217727227343807, + "fos_yielding": 4.844682259544972, + "deflection": 0.011244053323946703, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.166)" + }, + "parent_node_id": "node_2798", + "improvement_over_parent": null + }, + "node_2800": { + "node_id": "node_2800", + "content": "MODIFICATION: Increase 11 thickness by 58%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 202.98 kg\n Factor of Safety: 1.45\n Max Deflection: 1.12e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.9776021913454, + "fos_buckling": 1.4474533688664006, + "fos_yielding": 4.8178375802796145, + "deflection": 0.011225209194796554, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.585)" + }, + "parent_node_id": "node_2799", + "improvement_over_parent": null + }, + "node_2801": { + "node_id": "node_2801", + "content": "MODIFICATION: Increase 12 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 203.69 kg\n Factor of Safety: 1.52\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 203.69306681568656, + "fos_buckling": 1.524139538260975, + "fos_yielding": 4.843634000485042, + "deflection": 0.01118494568646877, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.176)" + }, + "parent_node_id": "node_2800", + "improvement_over_parent": null + }, + "node_2802": { + "node_id": "node_2802", + "content": "MODIFICATION: Increase 18 thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.96 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.95913806302406, + "fos_buckling": 1.5318302523281357, + "fos_yielding": 4.842891896973063, + "deflection": 0.011213259591596211, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(18, thickness, 1.189)" + }, + "parent_node_id": "node_2801", + "improvement_over_parent": null + }, + "node_2803": { + "node_id": "node_2803", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2802", + "improvement_over_parent": null + }, + "node_2804": { + "node_id": "node_2804", + "content": "INITIAL DESIGN (Trace 401)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0046)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0043)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n\nPerformance:\n Mass: 117.07 kg\n Factor of Safety: 0.19\n Max Deflection: 5.47e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 117.07291745972363, + "fos_buckling": 0.19308591316454957, + "fos_yielding": 0.9115361390360419, + "deflection": 0.054658924438668, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2805": { + "node_id": "node_2805", + "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0046)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0043)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n\nPerformance:\n Mass: 123.23 kg\n Factor of Safety: 0.19\n Max Deflection: 5.15e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 123.2269303309487, + "fos_buckling": 0.19298550834790787, + "fos_yielding": 0.9110558686734087, + "deflection": 0.05149768571141641, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.003542)" + }, + "parent_node_id": "node_2804", + "improvement_over_parent": null + }, + "node_2806": { + "node_id": "node_2806", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0052)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0049)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0046)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0043)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0055)]\n M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0040)]\n\nPerformance:\n Mass: 138.36 kg\n Factor of Safety: 0.21\n Max Deflection: 4.60e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 138.3597153702322, + "fos_buckling": 0.21325092363220852, + "fos_yielding": 1.0211041713581677, + "deflection": 0.04595401992953771, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.131)" + }, + "parent_node_id": "node_2805", + "improvement_over_parent": null + }, + "node_2807": { + "node_id": "node_2807", + "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0052)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0049)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0046)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0043)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0055)]\n M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0040)]\n M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n\nPerformance:\n Mass: 149.45 kg\n Factor of Safety: 1.18\n Max Deflection: 1.53e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 149.45214406742974, + "fos_buckling": 1.176571587940102, + "fos_yielding": 3.5364179307140673, + "deflection": 0.01525259068664765, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.005077)" + }, + "parent_node_id": "node_2806", + "improvement_over_parent": null + }, + "node_2808": { + "node_id": "node_2808", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n\nPerformance:\n Mass: 171.48 kg\n Factor of Safety: 1.32\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.4793110253218, + "fos_buckling": 1.322801814871876, + "fos_yielding": 4.055242837563751, + "deflection": 0.01333625827312753, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.159)" + }, + "parent_node_id": "node_2807", + "improvement_over_parent": null + }, + "node_2809": { + "node_id": "node_2809", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 204.89 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.88888567837196, + "fos_buckling": 1.53147358048293, + "fos_yielding": 4.841000253605922, + "deflection": 0.011216107487449169, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.214)" + }, + "parent_node_id": "node_2808", + "improvement_over_parent": null + }, + "node_2810": { + "node_id": "node_2810", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2809", + "improvement_over_parent": null + }, + "node_2811": { + "node_id": "node_2811", + "content": "INITIAL DESIGN (Trace 402)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n\nPerformance:\n Mass: 187.41 kg\n Factor of Safety: 0.43\n Max Deflection: 1.36e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 187.41210176107313, + "fos_buckling": 0.43393840436521824, + "fos_yielding": 4.903293287880026, + "deflection": 0.013613132427279646, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2812": { + "node_id": "node_2812", + "content": "MODIFICATION: Increase 19 thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 191.18 kg\n Factor of Safety: 0.43\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.17774978967807, + "fos_buckling": 0.4252078591211322, + "fos_yielding": 4.903178891447915, + "deflection": 0.013429929871592566, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(19, thickness, 1.242)" + }, + "parent_node_id": "node_2811", + "improvement_over_parent": null + }, + "node_2813": { + "node_id": "node_2813", + "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n Mass: 200.69 kg\n Factor of Safety: 1.43\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.69340760667842, + "fos_buckling": 1.4287232661465774, + "fos_yielding": 4.827303846811112, + "deflection": 0.011504860880648716, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.005227)" + }, + "parent_node_id": "node_2812", + "improvement_over_parent": null + }, + "node_2814": { + "node_id": "node_2814", + "content": "MODIFICATION: Increase 16 thickness by 63%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0093)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n Mass: 206.82 kg\n Factor of Safety: 1.46\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.81674271342834, + "fos_buckling": 1.460513048120794, + "fos_yielding": 4.828347941090876, + "deflection": 0.011749884147088467, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.629)" + }, + "parent_node_id": "node_2813", + "improvement_over_parent": null + }, + "node_2815": { + "node_id": "node_2815", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2814", + "improvement_over_parent": null + }, + "node_2816": { + "node_id": "node_2816", + "content": "INITIAL DESIGN (Trace 403)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0033)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n Mass: 149.29 kg\n Factor of Safety: 0.20\n Max Deflection: 1.48e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 149.2932001953498, + "fos_buckling": 0.20354070942068436, + "fos_yielding": 3.7519075097491266, + "deflection": 0.014846576528035315, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2817": { + "node_id": "node_2817", + "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0033)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n\nPerformance:\n Mass: 158.27 kg\n Factor of Safety: 1.05\n Max Deflection: 1.44e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 158.27316279094094, + "fos_buckling": 1.0537025900384351, + "fos_yielding": 3.766808920571819, + "deflection": 0.014434028329313214, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004409)" + }, + "parent_node_id": "node_2816", + "improvement_over_parent": null + }, + "node_2818": { + "node_id": "node_2818", + "content": "MODIFICATION: Increase 13 thickness by 38%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n\nPerformance:\n Mass: 160.87 kg\n Factor of Safety: 1.25\n Max Deflection: 1.42e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 160.86736241684525, + "fos_buckling": 1.2532482860064662, + "fos_yielding": 3.8055202707453892, + "deflection": 0.014194851266779756, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.383)" + }, + "parent_node_id": "node_2817", + "improvement_over_parent": null + }, + "node_2819": { + "node_id": "node_2819", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n Mass: 204.68 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.68406429453688, + "fos_buckling": 1.5302810775286833, + "fos_yielding": 4.83637801742207, + "deflection": 0.011227674410506969, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.299)" + }, + "parent_node_id": "node_2818", + "improvement_over_parent": null + }, + "node_2820": { + "node_id": "node_2820", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2819", + "improvement_over_parent": null + }, + "node_2821": { + "node_id": "node_2821", + "content": "INITIAL DESIGN (Trace 404)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n\nPerformance:\n Mass: 168.60 kg\n Factor of Safety: 1.18\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 168.59667791841537, + "fos_buckling": 1.1805155850026472, + "fos_yielding": 3.985944624472351, + "deflection": 0.013395473525328955, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2822": { + "node_id": "node_2822", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 202.09 kg\n Factor of Safety: 1.36\n Max Deflection: 1.12e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.08560275326516, + "fos_buckling": 1.3604639627394253, + "fos_yielding": 4.772480404334648, + "deflection": 0.01123143253789485, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.218)" + }, + "parent_node_id": "node_2821", + "improvement_over_parent": null + }, + "node_2823": { + "node_id": "node_2823", + "content": "MODIFICATION: Increase 14 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 203.68 kg\n Factor of Safety: 1.32\n Max Deflection: 1.12e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.68032984698704, + "fos_buckling": 1.3224463770793475, + "fos_yielding": 4.762157502658743, + "deflection": 0.011182460785993897, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.221)" + }, + "parent_node_id": "node_2822", + "improvement_over_parent": null + }, + "node_2824": { + "node_id": "node_2824", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n\nPerformance:\n Mass: 204.81 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.80697766727366, + "fos_buckling": 1.531042898842872, + "fos_yielding": 4.8393174630586255, + "deflection": 0.011221087734691573, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002506)" + }, + "parent_node_id": "node_2823", + "improvement_over_parent": null + }, + "node_2825": { + "node_id": "node_2825", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2824", + "improvement_over_parent": null + }, + "node_2826": { + "node_id": "node_2826", + "content": "INITIAL DESIGN (Trace 405)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0025)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0054)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0032)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n\nPerformance:\n Mass: 126.39 kg\n Factor of Safety: 0.02\n Max Deflection: 1.96e+14 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 126.38545651008779, + "fos_buckling": 0.02084723505668785, + "fos_yielding": 0.49304220637717894, + "deflection": 195821069964211.97, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2827": { + "node_id": "node_2827", + "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0025)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0054)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0032)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n M18: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n\nPerformance:\n Mass: 135.93 kg\n Factor of Safety: 0.86\n Max Deflection: 1.93e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 135.92557350566972, + "fos_buckling": 0.8648002493582474, + "fos_yielding": 3.928425643498405, + "deflection": 0.019346827954241898, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.004461)" + }, + "parent_node_id": "node_2826", + "improvement_over_parent": null + }, + "node_2828": { + "node_id": "node_2828", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0030)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n M18: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n\nPerformance:\n Mass: 160.90 kg\n Factor of Safety: 1.00\n Max Deflection: 1.64e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 160.9045736486493, + "fos_buckling": 1.0047297578255536, + "fos_yielding": 4.647682592256736, + "deflection": 0.016387354805026684, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.199)" + }, + "parent_node_id": "node_2827", + "improvement_over_parent": null + }, + "node_2829": { + "node_id": "node_2829", + "content": "MODIFICATION: Increase 0 thickness by 61%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n M18: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n\nPerformance:\n Mass: 163.67 kg\n Factor of Safety: 1.00\n Max Deflection: 1.58e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.67318299311256, + "fos_buckling": 1.0046510255900116, + "fos_yielding": 4.647682592256736, + "deflection": 0.0157917624999585, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.610)" + }, + "parent_node_id": "node_2828", + "improvement_over_parent": null + }, + "node_2830": { + "node_id": "node_2830", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n M18: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n\nPerformance:\n Mass: 170.68 kg\n Factor of Safety: 1.00\n Max Deflection: 1.51e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.67571286509835, + "fos_buckling": 1.0044519464425385, + "fos_yielding": 4.359774320905996, + "deflection": 0.015100290753749614, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004212)" + }, + "parent_node_id": "node_2829", + "improvement_over_parent": null + }, + "node_2831": { + "node_id": "node_2831", + "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n M18: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n\nPerformance:\n Mass: 179.19 kg\n Factor of Safety: 1.03\n Max Deflection: 1.38e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.19163793027045, + "fos_buckling": 1.026479218530901, + "fos_yielding": 4.361059776459004, + "deflection": 0.013768111743231969, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005017)" + }, + "parent_node_id": "node_2830", + "improvement_over_parent": null + }, + "node_2832": { + "node_id": "node_2832", + "content": "MODIFICATION: Increase 6 thickness by 64%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n M18: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n\nPerformance:\n Mass: 184.26 kg\n Factor of Safety: 1.40\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.2562358983406, + "fos_buckling": 1.404620372163102, + "fos_yielding": 4.356612724663729, + "deflection": 0.0124365008970031, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.639)" + }, + "parent_node_id": "node_2831", + "improvement_over_parent": null + }, + "node_2833": { + "node_id": "node_2833", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n Mass: 204.71 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.71180115102433, + "fos_buckling": 1.5305683205642129, + "fos_yielding": 4.837612165797125, + "deflection": 0.011227172097405187, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.122)" + }, + "parent_node_id": "node_2832", + "improvement_over_parent": null + }, + "node_2834": { + "node_id": "node_2834", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2833", + "improvement_over_parent": null + }, + "node_2835": { + "node_id": "node_2835", + "content": "INITIAL DESIGN (Trace 406)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0037)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0051)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0048)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0042)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0057)]\n\nPerformance:\n Mass: 151.29 kg\n Factor of Safety: 1.21\n Max Deflection: 1.57e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 151.29361886899673, + "fos_buckling": 1.2086903772398212, + "fos_yielding": 3.6616405157295797, + "deflection": 0.01568278505927862, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2836": { + "node_id": "node_2836", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0045)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0054)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n\nPerformance:\n Mass: 180.45 kg\n Factor of Safety: 1.40\n Max Deflection: 1.32e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.45098882340062, + "fos_buckling": 1.4020498319161612, + "fos_yielding": 4.362818691347001, + "deflection": 0.013193466500523358, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.209)" + }, + "parent_node_id": "node_2835", + "improvement_over_parent": null + }, + "node_2837": { + "node_id": "node_2837", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 200.03 kg\n Factor of Safety: 1.52\n Max Deflection: 1.19e-02 m\n Status: FEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 200.02742276046192, + "fos_buckling": 1.5248144192593938, + "fos_yielding": 4.832744809280727, + "deflection": 0.011929017734653756, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.119)" + }, + "parent_node_id": "node_2836", + "improvement_over_parent": null + }, + "node_2838": { + "node_id": "node_2838", + "content": "MODIFICATION: Increase 2 thickness by 45%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.65 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.64805200776394, + "fos_buckling": 1.530074344652682, + "fos_yielding": 4.835537256630371, + "deflection": 0.011229573673703603, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.445)" + }, + "parent_node_id": "node_2837", + "improvement_over_parent": null + }, + "node_2839": { + "node_id": "node_2839", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2838", + "improvement_over_parent": null + }, + "node_2840": { + "node_id": "node_2840", + "content": "INITIAL DESIGN (Trace 407)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0024)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0031)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n\nPerformance:\n Mass: 112.13 kg\n Factor of Safety: 0.32\n Max Deflection: 3.02e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 112.13176919906797, + "fos_buckling": 0.3222277897204127, + "fos_yielding": 2.289554359929728, + "deflection": 0.030226681934430517, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2841": { + "node_id": "node_2841", + "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0024)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0031)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n\nPerformance:\n Mass: 126.06 kg\n Factor of Safety: 0.32\n Max Deflection: 2.19e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 126.06435188035236, + "fos_buckling": 0.32185203518423317, + "fos_yielding": 2.772739973735448, + "deflection": 0.021855549823237258, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.005010)" + }, + "parent_node_id": "node_2840", + "improvement_over_parent": null + }, + "node_2842": { + "node_id": "node_2842", + "content": "MODIFICATION: Increase 13 thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0031)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n\nPerformance:\n Mass: 127.15 kg\n Factor of Safety: 0.32\n Max Deflection: 2.11e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 127.15077881754232, + "fos_buckling": 0.32176426051642937, + "fos_yielding": 2.772393618930816, + "deflection": 0.021092512873003632, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.280)" + }, + "parent_node_id": "node_2841", + "improvement_over_parent": null + }, + "node_2843": { + "node_id": "node_2843", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n\nPerformance:\n Mass: 155.06 kg\n Factor of Safety: 0.38\n Max Deflection: 1.74e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 155.06212559460886, + "fos_buckling": 0.38017153560053385, + "fos_yielding": 3.375771079778414, + "deflection": 0.017377270049821168, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.236)" + }, + "parent_node_id": "node_2842", + "improvement_over_parent": null + }, + "node_2844": { + "node_id": "node_2844", + "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n\nPerformance:\n Mass: 165.28 kg\n Factor of Safety: 1.18\n Max Deflection: 1.36e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.27569375672385, + "fos_buckling": 1.1767049090682289, + "fos_yielding": 3.944844763668486, + "deflection": 0.01355759155302124, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.004800)" + }, + "parent_node_id": "node_2843", + "improvement_over_parent": null + }, + "node_2845": { + "node_id": "node_2845", + "content": "MODIFICATION: Increase 17 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0048)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n\nPerformance:\n Mass: 166.63 kg\n Factor of Safety: 1.21\n Max Deflection: 1.36e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.62819556277685, + "fos_buckling": 1.2146082325087513, + "fos_yielding": 3.944193180259691, + "deflection": 0.013601023359184509, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.211)" + }, + "parent_node_id": "node_2844", + "improvement_over_parent": null + }, + "node_2846": { + "node_id": "node_2846", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0060)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 204.55 kg\n Factor of Safety: 1.46\n Max Deflection: 1.11e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.55335391453752, + "fos_buckling": 1.456395893657782, + "fos_yielding": 4.837274595491287, + "deflection": 0.011141977179445098, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.250)" + }, + "parent_node_id": "node_2845", + "improvement_over_parent": null + }, + "node_2847": { + "node_id": "node_2847", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2846", + "improvement_over_parent": null + }, + "node_2848": { + "node_id": "node_2848", + "content": "INITIAL DESIGN (Trace 408)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0038)]\n\nPerformance:\n Mass: 142.97 kg\n Factor of Safety: 0.36\n Max Deflection: 1.90e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 142.96967978484153, + "fos_buckling": 0.36342203050834687, + "fos_yielding": 3.1981192708914437, + "deflection": 0.01903616681074753, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2849": { + "node_id": "node_2849", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n\nPerformance:\n Mass: 185.41 kg\n Factor of Safety: 0.45\n Max Deflection: 1.48e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.41425762715187, + "fos_buckling": 0.4480291514997874, + "fos_yielding": 4.135960742954131, + "deflection": 0.014776598149819587, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.325)" + }, + "parent_node_id": "node_2848", + "improvement_over_parent": null + }, + "node_2850": { + "node_id": "node_2850", + "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 197.95 kg\n Factor of Safety: 1.20\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.95324996712117, + "fos_buckling": 1.1952214566051116, + "fos_yielding": 4.838236320621814, + "deflection": 0.011646579215688844, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)" + }, + "parent_node_id": "node_2849", + "improvement_over_parent": null + }, + "node_2851": { + "node_id": "node_2851", + "content": "MODIFICATION: Increase 20 thickness by 53%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0092)]\n\nPerformance:\n Mass: 203.66 kg\n Factor of Safety: 1.20\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.6644281448977, + "fos_buckling": 1.1951393593159174, + "fos_yielding": 4.888135909455931, + "deflection": 0.011461949055942887, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(20, thickness, 1.529)" + }, + "parent_node_id": "node_2850", + "improvement_over_parent": null + }, + "node_2852": { + "node_id": "node_2852", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2851", + "improvement_over_parent": null + }, + "node_2853": { + "node_id": "node_2853", + "content": "INITIAL DESIGN (Trace 409)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0034)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0047)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n\nPerformance:\n Mass: 154.07 kg\n Factor of Safety: 1.22\n Max Deflection: 1.51e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 154.07183664580748, + "fos_buckling": 1.219686952415277, + "fos_yielding": 3.72534904653304, + "deflection": 0.015137127171976976, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2854": { + "node_id": "node_2854", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 200.74 kg\n Factor of Safety: 1.51\n Max Deflection: 1.17e-02 m\n Status: FEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 200.73664882000358, + "fos_buckling": 1.51359855048039, + "fos_yielding": 4.846110592054506, + "deflection": 0.011690814611175765, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.332)" + }, + "parent_node_id": "node_2853", + "improvement_over_parent": null + }, + "node_2855": { + "node_id": "node_2855", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n Mass: 201.45 kg\n Factor of Safety: 1.52\n Max Deflection: 1.17e-02 m\n Status: FEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 201.45278064647724, + "fos_buckling": 1.5192216453824485, + "fos_yielding": 4.844996595237315, + "deflection": 0.01166398308910343, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)" + }, + "parent_node_id": "node_2854", + "improvement_over_parent": null + }, + "node_2856": { + "node_id": "node_2856", + "content": "MODIFICATION: Increase 1 thickness by 40%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n Mass: 204.66 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.65622599517835, + "fos_buckling": 1.5301349692648767, + "fos_yielding": 4.835775604665495, + "deflection": 0.011229244094619657, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.404)" + }, + "parent_node_id": "node_2855", + "improvement_over_parent": null + }, + "node_2857": { + "node_id": "node_2857", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2856", + "improvement_over_parent": null + }, + "node_2858": { + "node_id": "node_2858", + "content": "INITIAL DESIGN (Trace 410)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0030)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n\nPerformance:\n Mass: 141.82 kg\n Factor of Safety: 0.81\n Max Deflection: 1.54e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 141.81803769824546, + "fos_buckling": 0.8111604583565847, + "fos_yielding": 3.976817014006852, + "deflection": 0.015359306204718468, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2859": { + "node_id": "node_2859", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n\nPerformance:\n Mass: 164.84 kg\n Factor of Safety: 0.92\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.84343135409966, + "fos_buckling": 0.9236239326175829, + "fos_yielding": 4.621079460309066, + "deflection": 0.013258961956313866, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.176)" + }, + "parent_node_id": "node_2858", + "improvement_over_parent": null + }, + "node_2860": { + "node_id": "node_2860", + "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n\nPerformance:\n Mass: 172.55 kg\n Factor of Safety: 1.06\n Max Deflection: 1.40e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.55107275935995, + "fos_buckling": 1.0590866185600445, + "fos_yielding": 4.621079460309066, + "deflection": 0.013952478323078162, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004405)" + }, + "parent_node_id": "node_2859", + "improvement_over_parent": null + }, + "node_2861": { + "node_id": "node_2861", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n Mass: 192.84 kg\n Factor of Safety: 1.16\n Max Deflection: 1.25e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.8380520146965, + "fos_buckling": 1.1562466145645833, + "fos_yielding": 5.16305946160451, + "deflection": 0.012519426341707088, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.129)" + }, + "parent_node_id": "node_2860", + "improvement_over_parent": null + }, + "node_2862": { + "node_id": "node_2862", + "content": "MODIFICATION: Increase 1 thickness by 58%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n Mass: 196.94 kg\n Factor of Safety: 1.15\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.941447923627, + "fos_buckling": 1.154292668228835, + "fos_yielding": 5.16305946160451, + "deflection": 0.011863473468505688, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.577)" + }, + "parent_node_id": "node_2861", + "improvement_over_parent": null + }, + "node_2863": { + "node_id": "node_2863", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n Mass: 204.72 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.72309643587948, + "fos_buckling": 1.5305881190384218, + "fos_yielding": 4.8375646166833866, + "deflection": 0.011226006282198973, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004727)" + }, + "parent_node_id": "node_2862", + "improvement_over_parent": null + }, + "node_2864": { + "node_id": "node_2864", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2863", + "improvement_over_parent": null + }, + "node_2865": { + "node_id": "node_2865", + "content": "INITIAL DESIGN (Trace 411)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n\nPerformance:\n Mass: 165.25 kg\n Factor of Safety: 1.18\n Max Deflection: 1.38e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.25039247009917, + "fos_buckling": 1.1782156662286485, + "fos_yielding": 3.9843996859491266, + "deflection": 0.0138011368622114, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2866": { + "node_id": "node_2866", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 201.72 kg\n Factor of Safety: 1.39\n Max Deflection: 1.14e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.71653681814513, + "fos_buckling": 1.3934381344570677, + "fos_yielding": 4.857665061664931, + "deflection": 0.01136627563284641, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.242)" + }, + "parent_node_id": "node_2865", + "improvement_over_parent": null + }, + "node_2867": { + "node_id": "node_2867", + "content": "MODIFICATION: Increase 16 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 203.46 kg\n Factor of Safety: 1.41\n Max Deflection: 1.13e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.4558181806234, + "fos_buckling": 1.4088342813882162, + "fos_yielding": 4.860792275982659, + "deflection": 0.011267541254549375, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.206)" + }, + "parent_node_id": "node_2866", + "improvement_over_parent": null + }, + "node_2868": { + "node_id": "node_2868", + "content": "MODIFICATION: Increase 4 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.77 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.77288947945698, + "fos_buckling": 1.530870334551767, + "fos_yielding": 4.83863945924412, + "deflection": 0.011222937108275412, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.362)" + }, + "parent_node_id": "node_2867", + "improvement_over_parent": null + }, + "node_2869": { + "node_id": "node_2869", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2868", + "improvement_over_parent": null + }, + "node_2870": { + "node_id": "node_2870", + "content": "INITIAL DESIGN (Trace 412)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0023)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0027)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0032)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0030)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0018)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0028)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0031)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0024)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0025)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0011)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0009)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0018)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0023)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0026)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0020)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0023)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0017)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0025)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0021)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0027)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0023)]\n\nPerformance:\n Mass: 88.49 kg\n Factor of Safety: 0.60\n Max Deflection: 2.57e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 88.49487301586687, + "fos_buckling": 0.5987442732523998, + "fos_yielding": 2.1941113420315776, + "deflection": 0.02565395726482437, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2871": { + "node_id": "node_2871", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0031)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0042)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0040)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0037)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0033)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0031)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0030)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0023)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0033)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0029)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0031)]\n\nPerformance:\n Mass: 116.47 kg\n Factor of Safety: 0.78\n Max Deflection: 1.96e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 116.4703040671891, + "fos_buckling": 0.7752844500529918, + "fos_yielding": 2.8842761430272383, + "deflection": 0.019567964071551043, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.332)" + }, + "parent_node_id": "node_2870", + "improvement_over_parent": null + }, + "node_2872": { + "node_id": "node_2872", + "content": "MODIFICATION: Increase 20 thickness by 43%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0031)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0042)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0040)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0037)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0033)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0031)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0030)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0023)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0033)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0029)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0044)]\n\nPerformance:\n Mass: 120.08 kg\n Factor of Safety: 0.96\n Max Deflection: 1.90e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 120.08131260414856, + "fos_buckling": 0.9567120836507939, + "fos_yielding": 2.8840208416840696, + "deflection": 0.01895770810227798, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(20, thickness, 1.431)" + }, + "parent_node_id": "node_2871", + "improvement_over_parent": null + }, + "node_2873": { + "node_id": "node_2873", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0049)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0046)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0043)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0040)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0026)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0052)]\n\nPerformance:\n Mass: 138.30 kg\n Factor of Safety: 1.08\n Max Deflection: 1.65e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 138.30116992368667, + "fos_buckling": 1.0839820290307955, + "fos_yielding": 3.3197023684470555, + "deflection": 0.016502816493570313, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.161)" + }, + "parent_node_id": "node_2872", + "improvement_over_parent": null + }, + "node_2874": { + "node_id": "node_2874", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0031)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n\nPerformance:\n Mass: 163.53 kg\n Factor of Safety: 1.25\n Max Deflection: 1.40e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.52637064693778, + "fos_buckling": 1.252538809243481, + "fos_yielding": 3.9220530261949085, + "deflection": 0.014006999038545949, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.196)" + }, + "parent_node_id": "node_2873", + "improvement_over_parent": null + }, + "node_2875": { + "node_id": "node_2875", + "content": "MODIFICATION: Increase 16 thickness by 42%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n\nPerformance:\n Mass: 166.06 kg\n Factor of Safety: 1.29\n Max Deflection: 1.38e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.05961302335325, + "fos_buckling": 1.2877152677541481, + "fos_yielding": 3.9275874609812593, + "deflection": 0.013761571878326996, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.425)" + }, + "parent_node_id": "node_2874", + "improvement_over_parent": null + }, + "node_2876": { + "node_id": "node_2876", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.63 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.626676937661, + "fos_buckling": 1.5301743918486308, + "fos_yielding": 4.834769985029287, + "deflection": 0.011230820602807104, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.255)" + }, + "parent_node_id": "node_2875", + "improvement_over_parent": null + }, + "node_2877": { + "node_id": "node_2877", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2876", + "improvement_over_parent": null + }, + "node_2878": { + "node_id": "node_2878", + "content": "INITIAL DESIGN (Trace 413)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0029)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0034)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0040)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0038)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0023)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0035)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0024)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0031)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0029)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0033)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0026)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0028)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0031)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0031)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0027)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0034)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0042)]\n\nPerformance:\n Mass: 113.24 kg\n Factor of Safety: 0.55\n Max Deflection: 2.17e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 113.23903781599155, + "fos_buckling": 0.5496686527160438, + "fos_yielding": 2.7607873811553283, + "deflection": 0.021692664420040732, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2879": { + "node_id": "node_2879", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0028)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n\nPerformance:\n Mass: 131.96 kg\n Factor of Safety: 0.63\n Max Deflection: 1.86e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 131.957682009159, + "fos_buckling": 0.6309771921549703, + "fos_yielding": 3.2152673009121613, + "deflection": 0.01864722122118816, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.175)" + }, + "parent_node_id": "node_2878", + "improvement_over_parent": null + }, + "node_2880": { + "node_id": "node_2880", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n Mass: 161.31 kg\n Factor of Safety: 0.75\n Max Deflection: 1.53e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 161.31210674601198, + "fos_buckling": 0.7529870720236684, + "fos_yielding": 3.9268875659537343, + "deflection": 0.01529472651937025, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.239)" + }, + "parent_node_id": "node_2879", + "improvement_over_parent": null + }, + "node_2881": { + "node_id": "node_2881", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0054)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n\nPerformance:\n Mass: 179.74 kg\n Factor of Safety: 0.83\n Max Deflection: 1.37e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.73717167192763, + "fos_buckling": 0.8261298930883967, + "fos_yielding": 4.372868537446653, + "deflection": 0.013749877186106827, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.124)" + }, + "parent_node_id": "node_2880", + "improvement_over_parent": null + }, + "node_2882": { + "node_id": "node_2882", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 199.55 kg\n Factor of Safety: 0.90\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.54563399674296, + "fos_buckling": 0.901796232359095, + "fos_yielding": 4.851739703046421, + "deflection": 0.012407301317518054, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.121)" + }, + "parent_node_id": "node_2881", + "improvement_over_parent": null + }, + "node_2883": { + "node_id": "node_2883", + "content": "MODIFICATION: Increase 7 thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 201.53 kg\n Factor of Safety: 0.90\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.53449483181706, + "fos_buckling": 0.8985894767955135, + "fos_yielding": 4.8518008573043865, + "deflection": 0.012406435242884702, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.292)" + }, + "parent_node_id": "node_2882", + "improvement_over_parent": null + }, + "node_2884": { + "node_id": "node_2884", + "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n Mass: 204.65 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.64987273153747, + "fos_buckling": 1.530153062390374, + "fos_yielding": 4.835446298196322, + "deflection": 0.011229694440937193, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)" + }, + "parent_node_id": "node_2883", + "improvement_over_parent": null + }, + "node_2885": { + "node_id": "node_2885", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2884", + "improvement_over_parent": null + }, + "node_2886": { + "node_id": "node_2886", + "content": "INITIAL DESIGN (Trace 414)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0053)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0050)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0047)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0026)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0012)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0039)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0042)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0056)]\n\nPerformance:\n Mass: 147.42 kg\n Factor of Safety: 0.70\n Max Deflection: 1.66e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 147.41973697707553, + "fos_buckling": 0.7030980395254183, + "fos_yielding": 3.617598522058163, + "deflection": 0.016579529677610984, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2887": { + "node_id": "node_2887", + "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0053)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0050)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0047)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0026)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0012)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0039)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0042)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0056)]\n M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n\nPerformance:\n Mass: 149.74 kg\n Factor of Safety: 1.02\n Max Deflection: 1.51e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 149.73982430455658, + "fos_buckling": 1.0163079783044755, + "fos_yielding": 3.601752116124458, + "deflection": 0.015119379965646537, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003028)" + }, + "parent_node_id": "node_2886", + "improvement_over_parent": null + }, + "node_2888": { + "node_id": "node_2888", + "content": "MODIFICATION: Increase 9 thickness by 49%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0053)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0050)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0047)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0026)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0039)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0042)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0056)]\n M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n\nPerformance:\n Mass: 150.01 kg\n Factor of Safety: 1.02\n Max Deflection: 1.51e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 150.0055378172822, + "fos_buckling": 1.0165055774392786, + "fos_yielding": 3.6078560966288307, + "deflection": 0.015125623797443408, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.495)" + }, + "parent_node_id": "node_2887", + "improvement_over_parent": null + }, + "node_2889": { + "node_id": "node_2889", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0057)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0066)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0054)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0045)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0057)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n\nPerformance:\n Mass: 182.07 kg\n Factor of Safety: 1.21\n Max Deflection: 1.25e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.07451249169455, + "fos_buckling": 1.2122755434786558, + "fos_yielding": 4.374587576556249, + "deflection": 0.012520460382826424, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.232)" + }, + "parent_node_id": "node_2888", + "improvement_over_parent": null + }, + "node_2890": { + "node_id": "node_2890", + "content": "MODIFICATION: Increase 7 thickness by 58%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0057)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0066)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0054)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0045)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0057)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n\nPerformance:\n Mass: 185.04 kg\n Factor of Safety: 1.41\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.04445894708044, + "fos_buckling": 1.4094722890069038, + "fos_yielding": 4.374669186520321, + "deflection": 0.012383801676574912, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.577)" + }, + "parent_node_id": "node_2889", + "improvement_over_parent": null + }, + "node_2891": { + "node_id": "node_2891", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n Mass: 204.74 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.7445279189645, + "fos_buckling": 1.5306497373117045, + "fos_yielding": 4.837847775295491, + "deflection": 0.011224403499887669, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.117)" + }, + "parent_node_id": "node_2890", + "improvement_over_parent": null + }, + "node_2892": { + "node_id": "node_2892", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2891", + "improvement_over_parent": null + }, + "node_2893": { + "node_id": "node_2893", + "content": "INITIAL DESIGN (Trace 415)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n\nPerformance:\n Mass: 170.19 kg\n Factor of Safety: 0.23\n Max Deflection: 4.45e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.18613107781434, + "fos_buckling": 0.22591125997230255, + "fos_yielding": 2.157965780138948, + "deflection": 0.04453536455304363, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2894": { + "node_id": "node_2894", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n M18: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n Mass: 182.67 kg\n Factor of Safety: 0.77\n Max Deflection: 1.37e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.6739381548311, + "fos_buckling": 0.7702803686449081, + "fos_yielding": 4.499018999970486, + "deflection": 0.01372519352873154, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.006468)" + }, + "parent_node_id": "node_2893", + "improvement_over_parent": null + }, + "node_2895": { + "node_id": "node_2895", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n M18: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n\nPerformance:\n Mass: 183.80 kg\n Factor of Safety: 0.77\n Max Deflection: 1.37e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.8005859751177, + "fos_buckling": 0.7702313228020987, + "fos_yielding": 4.49873253521343, + "deflection": 0.01370933226086876, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002506)" + }, + "parent_node_id": "node_2894", + "improvement_over_parent": null + }, + "node_2896": { + "node_id": "node_2896", + "content": "MODIFICATION: Increase 19 thickness by 56%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n M18: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0039)]\n\nPerformance:\n Mass: 184.34 kg\n Factor of Safety: 0.77\n Max Deflection: 1.37e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.3374630683823, + "fos_buckling": 0.7702079533750471, + "fos_yielding": 4.49859604011294, + "deflection": 0.01370852777042461, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(19, thickness, 1.555)" + }, + "parent_node_id": "node_2895", + "improvement_over_parent": null + }, + "node_2897": { + "node_id": "node_2897", + "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n M18: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0039)]\n M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n Mass: 198.22 kg\n Factor of Safety: 1.18\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.2223699440039, + "fos_buckling": 1.1824250950342303, + "fos_yielding": 4.8441925945900595, + "deflection": 0.011673237224829576, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)" + }, + "parent_node_id": "node_2896", + "improvement_over_parent": null + }, + "node_2898": { + "node_id": "node_2898", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2897", + "improvement_over_parent": null + }, + "node_2899": { + "node_id": "node_2899", + "content": "INITIAL DESIGN (Trace 416)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0038)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0029)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n\nPerformance:\n Mass: 155.13 kg\n Factor of Safety: 0.25\n Max Deflection: 3.89e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 155.12620451054602, + "fos_buckling": 0.25008879649220733, + "fos_yielding": 1.2373384681870727, + "deflection": 0.03890328322782946, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2900": { + "node_id": "node_2900", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0038)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0029)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n\nPerformance:\n Mass: 159.81 kg\n Factor of Safety: 0.25\n Max Deflection: 3.85e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.80607255372206, + "fos_buckling": 0.2499904600710322, + "fos_yielding": 1.2207461714715293, + "deflection": 0.038462039149345026, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003675)" + }, + "parent_node_id": "node_2899", + "improvement_over_parent": null + }, + "node_2901": { + "node_id": "node_2901", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 181.26 kg\n Factor of Safety: 0.28\n Max Deflection: 3.40e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.25658910839874, + "fos_buckling": 0.27662144752557527, + "fos_yielding": 1.3806155318051623, + "deflection": 0.034012619516984394, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.147)" + }, + "parent_node_id": "node_2900", + "improvement_over_parent": null + }, + "node_2902": { + "node_id": "node_2902", + "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n\nPerformance:\n Mass: 194.31 kg\n Factor of Safety: 1.35\n Max Deflection: 1.20e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.3091403934052, + "fos_buckling": 1.3463422633349744, + "fos_yielding": 4.844986333878219, + "deflection": 0.012019911017796599, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.006047)" + }, + "parent_node_id": "node_2901", + "improvement_over_parent": null + }, + "node_2903": { + "node_id": "node_2903", + "content": "MODIFICATION: Increase 3 thickness by 58%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n\nPerformance:\n Mass: 199.23 kg\n Factor of Safety: 1.34\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.22879036379464, + "fos_buckling": 1.3384969959560145, + "fos_yielding": 4.844522021489655, + "deflection": 0.011649661807702915, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.582)" + }, + "parent_node_id": "node_2902", + "improvement_over_parent": null + }, + "node_2904": { + "node_id": "node_2904", + "content": "MODIFICATION: Increase 6 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0067)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n\nPerformance:\n Mass: 200.16 kg\n Factor of Safety: 1.33\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.15936586971725, + "fos_buckling": 1.3302504224664566, + "fos_yielding": 5.531195691253117, + "deflection": 0.011610758733849856, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.179)" + }, + "parent_node_id": "node_2903", + "improvement_over_parent": null + }, + "node_2905": { + "node_id": "node_2905", + "content": "MODIFICATION: Increase 15 thickness by 57%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0067)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0090)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n\nPerformance:\n Mass: 205.76 kg\n Factor of Safety: 1.37\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.76010401283645, + "fos_buckling": 1.371496692052102, + "fos_yielding": 5.521788692068016, + "deflection": 0.011845234722609784, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.572)" + }, + "parent_node_id": "node_2904", + "improvement_over_parent": null + }, + "node_2906": { + "node_id": "node_2906", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2905", + "improvement_over_parent": null + }, + "node_2907": { + "node_id": "node_2907", + "content": "INITIAL DESIGN (Trace 417)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0021)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n\nPerformance:\n Mass: 188.38 kg\n Factor of Safety: 1.14\n Max Deflection: 1.25e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.37673455691737, + "fos_buckling": 1.1369346056635252, + "fos_yielding": 3.6591130141198303, + "deflection": 0.01252961064140201, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2908": { + "node_id": "node_2908", + "content": "MODIFICATION: Increase 12 thickness by 55%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0021)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n\nPerformance:\n Mass: 190.10 kg\n Factor of Safety: 1.21\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.0990482149881, + "fos_buckling": 1.2116821515727212, + "fos_yielding": 4.844120258943393, + "deflection": 0.012389935841024921, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.546)" + }, + "parent_node_id": "node_2907", + "improvement_over_parent": null + }, + "node_2909": { + "node_id": "node_2909", + "content": "MODIFICATION: Increase 18 thickness by 50%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n\nPerformance:\n Mass: 191.93 kg\n Factor of Safety: 1.19\n Max Deflection: 1.25e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.92638101622308, + "fos_buckling": 1.1946867531136898, + "fos_yielding": 4.842866983741715, + "deflection": 0.01245552322560047, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(18, thickness, 1.499)" + }, + "parent_node_id": "node_2908", + "improvement_over_parent": null + }, + "node_2910": { + "node_id": "node_2910", + "content": "MODIFICATION: Increase 6 thickness by 55%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n\nPerformance:\n Mass: 196.99 kg\n Factor of Safety: 1.30\n Max Deflection: 1.14e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.99462212359882, + "fos_buckling": 1.301461704014187, + "fos_yielding": 4.8391131751986185, + "deflection": 0.011423364527100813, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.550)" + }, + "parent_node_id": "node_2909", + "improvement_over_parent": null + }, + "node_2911": { + "node_id": "node_2911", + "content": "MODIFICATION: Increase 18 thickness by 56%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n\nPerformance:\n Mass: 199.91 kg\n Factor of Safety: 1.30\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.90755064711087, + "fos_buckling": 1.2985201430459363, + "fos_yielding": 4.837205033348904, + "deflection": 0.011497866697805736, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(18, thickness, 1.560)" + }, + "parent_node_id": "node_2910", + "improvement_over_parent": null + }, + "node_2912": { + "node_id": "node_2912", + "content": "MODIFICATION: Increase 20 thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.71 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70605854358513, + "fos_buckling": 1.5309105852280365, + "fos_yielding": 4.8367930577296745, + "deflection": 0.011228205474444962, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(20, thickness, 1.328)" + }, + "parent_node_id": "node_2911", + "improvement_over_parent": null + }, + "node_2913": { + "node_id": "node_2913", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2912", + "improvement_over_parent": null + }, + "node_2914": { + "node_id": "node_2914", + "content": "INITIAL DESIGN (Trace 418)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0052)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0049)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0046)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0040)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0043)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n\nPerformance:\n Mass: 128.70 kg\n Factor of Safety: 0.38\n Max Deflection: 2.56e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 128.7007394851125, + "fos_buckling": 0.3754588805607044, + "fos_yielding": 2.5021850708588773, + "deflection": 0.02559241402676282, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2915": { + "node_id": "node_2915", + "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0052)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0049)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0046)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0040)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0043)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0055)]\n\nPerformance:\n Mass: 143.94 kg\n Factor of Safety: 0.90\n Max Deflection: 1.61e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 143.9391607433461, + "fos_buckling": 0.8951104674665779, + "fos_yielding": 3.7743068650066554, + "deflection": 0.016096770731804343, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.005511)" + }, + "parent_node_id": "node_2914", + "improvement_over_parent": null + }, + "node_2916": { + "node_id": "node_2916", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n Mass: 175.65 kg\n Factor of Safety: 1.05\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.65080917133824, + "fos_buckling": 1.0545348671217096, + "fos_yielding": 4.605159828906832, + "deflection": 0.013256748147275982, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.239)" + }, + "parent_node_id": "node_2915", + "improvement_over_parent": null + }, + "node_2917": { + "node_id": "node_2917", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n\nPerformance:\n Mass: 182.59 kg\n Factor of Safety: 1.39\n Max Deflection: 1.25e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.59365373234454, + "fos_buckling": 1.3940229464659812, + "fos_yielding": 4.31692272960129, + "deflection": 0.012545687776066206, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004173)" + }, + "parent_node_id": "node_2916", + "improvement_over_parent": null + }, + "node_2918": { + "node_id": "node_2918", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n Mass: 204.69 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.6942801557615, + "fos_buckling": 1.5303595249074236, + "fos_yielding": 4.83656705977558, + "deflection": 0.011227211254538941, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.133)" + }, + "parent_node_id": "node_2917", + "improvement_over_parent": null + }, + "node_2919": { + "node_id": "node_2919", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2918", + "improvement_over_parent": null + }, + "node_2920": { + "node_id": "node_2920", + "content": "INITIAL DESIGN (Trace 419)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0045)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0035)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0040)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0029)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0037)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0029)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0032)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0022)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0040)]\n\nPerformance:\n Mass: 124.61 kg\n Factor of Safety: 0.93\n Max Deflection: 1.83e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 124.60777374309018, + "fos_buckling": 0.9308211813545116, + "fos_yielding": 2.604558918469817, + "deflection": 0.01830540261779049, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2921": { + "node_id": "node_2921", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0027)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n\nPerformance:\n Mass: 153.39 kg\n Factor of Safety: 1.12\n Max Deflection: 1.49e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 153.38778724489626, + "fos_buckling": 1.1231382323099461, + "fos_yielding": 3.2093854015438334, + "deflection": 0.014930267272091128, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.247)" + }, + "parent_node_id": "node_2920", + "improvement_over_parent": null + }, + "node_2922": { + "node_id": "node_2922", + "content": "MODIFICATION: Increase 16 thickness by 59%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n\nPerformance:\n Mass: 156.46 kg\n Factor of Safety: 1.13\n Max Deflection: 1.46e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 156.4643034954174, + "fos_buckling": 1.125299280803347, + "fos_yielding": 3.2155606320606367, + "deflection": 0.014587134512678302, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.587)" + }, + "parent_node_id": "node_2921", + "improvement_over_parent": null + }, + "node_2923": { + "node_id": "node_2923", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n\nPerformance:\n Mass: 198.21 kg\n Factor of Safety: 1.38\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.20992424431483, + "fos_buckling": 1.3848044441246163, + "fos_yielding": 4.081098242718062, + "deflection": 0.01158453861998383, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.292)" + }, + "parent_node_id": "node_2922", + "improvement_over_parent": null + }, + "node_2924": { + "node_id": "node_2924", + "content": "MODIFICATION: Increase 3 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n\nPerformance:\n Mass: 200.55 kg\n Factor of Safety: 1.38\n Max Deflection: 1.14e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.55363174067526, + "fos_buckling": 1.3784685775488976, + "fos_yielding": 4.080924291836939, + "deflection": 0.011448910726465823, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.217)" + }, + "parent_node_id": "node_2923", + "improvement_over_parent": null + }, + "node_2925": { + "node_id": "node_2925", + "content": "MODIFICATION: Increase 8 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n\nPerformance:\n Mass: 201.49 kg\n Factor of Safety: 1.38\n Max Deflection: 1.14e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.49264373710508, + "fos_buckling": 1.3784181914036409, + "fos_yielding": 4.838923983749077, + "deflection": 0.011394276718971127, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.211)" + }, + "parent_node_id": "node_2924", + "improvement_over_parent": null + }, + "node_2926": { + "node_id": "node_2926", + "content": "MODIFICATION: Increase 20 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.69 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.69148679288128, + "fos_buckling": 1.5306816129035579, + "fos_yielding": 4.838660740401723, + "deflection": 0.011227356919532454, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(20, thickness, 1.199)" + }, + "parent_node_id": "node_2925", + "improvement_over_parent": null + }, + "node_2927": { + "node_id": "node_2927", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2926", + "improvement_over_parent": null + }, + "node_2928": { + "node_id": "node_2928", + "content": "INITIAL DESIGN (Trace 420)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n\nPerformance:\n Mass: 154.98 kg\n Factor of Safety: 0.20\n Max Deflection: 5.08e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 154.9774951687038, + "fos_buckling": 0.19869521409236127, + "fos_yielding": 1.8483807534172243, + "deflection": 0.050780844559633685, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2929": { + "node_id": "node_2929", + "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n M18: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n\nPerformance:\n Mass: 163.05 kg\n Factor of Safety: 0.20\n Max Deflection: 5.02e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.05256061284658, + "fos_buckling": 0.19856122264043585, + "fos_yielding": 1.7783051502593523, + "deflection": 0.050229130570391134, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.004736)" + }, + "parent_node_id": "node_2928", + "improvement_over_parent": null + }, + "node_2930": { + "node_id": "node_2930", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M7: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n Mass: 191.11 kg\n Factor of Safety: 0.23\n Max Deflection: 4.31e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.10750089049583, + "fos_buckling": 0.22553896160186127, + "fos_yielding": 2.074742505155492, + "deflection": 0.043056896045002804, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.189)" + }, + "parent_node_id": "node_2929", + "improvement_over_parent": null + }, + "node_2931": { + "node_id": "node_2931", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M7: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n\nPerformance:\n Mass: 201.14 kg\n Factor of Safety: 1.24\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.1379392519216, + "fos_buckling": 1.2381899145259732, + "fos_yielding": 4.7353802515375865, + "deflection": 0.011619678740504893, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.005097)" + }, + "parent_node_id": "node_2930", + "improvement_over_parent": null + }, + "node_2932": { + "node_id": "node_2932", + "content": "MODIFICATION: Increase 5 thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0091)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M7: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n\nPerformance:\n Mass: 204.75 kg\n Factor of Safety: 1.22\n Max Deflection: 1.13e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.75189071889824, + "fos_buckling": 1.2187304102088687, + "fos_yielding": 4.729172365186335, + "deflection": 0.011263093191969893, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.269)" + }, + "parent_node_id": "node_2931", + "improvement_over_parent": null + }, + "node_2933": { + "node_id": "node_2933", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0091)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M7: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M20: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n\nPerformance:\n Mass: 205.58 kg\n Factor of Safety: 1.34\n Max Deflection: 1.12e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.58143349013608, + "fos_buckling": 1.341201024020543, + "fos_yielding": 4.8212674809893175, + "deflection": 0.011221455530724716, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.001799)" + }, + "parent_node_id": "node_2932", + "improvement_over_parent": null + }, + "node_2934": { + "node_id": "node_2934", + "content": "MODIFICATION: Increase 9 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0091)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M7: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M8: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0075)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M20: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n\nPerformance:\n Mass: 207.36 kg\n Factor of Safety: 1.34\n Max Deflection: 1.12e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 207.35893247820897, + "fos_buckling": 1.3406615969774511, + "fos_yielding": 4.8213921819438, + "deflection": 0.011156323661315838, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.393)" + }, + "parent_node_id": "node_2933", + "improvement_over_parent": null + }, + "node_2935": { + "node_id": "node_2935", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2934", + "improvement_over_parent": null + }, + "node_2936": { + "node_id": "node_2936", + "content": "INITIAL DESIGN (Trace 421)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0029)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0040)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0038)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0015)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0035)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0031)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0031)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0023)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0029)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0029)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0031)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0031)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0027)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0042)]\n\nPerformance:\n Mass: 103.50 kg\n Factor of Safety: 0.04\n Max Deflection: 1.11e+14 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 103.5046610069909, + "fos_buckling": 0.038999481673043124, + "fos_yielding": 0.34423570333427406, + "deflection": 111063144913864.61, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2937": { + "node_id": "node_2937", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0045)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0042)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0017)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0040)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0034)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0035)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0032)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0035)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0047)]\n\nPerformance:\n Mass: 115.17 kg\n Factor of Safety: 0.54\n Max Deflection: 8.59e+12 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 115.1684440304985, + "fos_buckling": 0.5363674651994208, + "fos_yielding": 3.270854144891331, + "deflection": 8591154435408.423, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.119)" + }, + "parent_node_id": "node_2936", + "improvement_over_parent": null + }, + "node_2938": { + "node_id": "node_2938", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0045)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0042)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0017)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0040)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0034)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0035)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0032)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0035)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0047)]\n M18: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n\nPerformance:\n Mass: 115.62 kg\n Factor of Safety: 0.99\n Max Deflection: 1.01e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 115.62155635559141, + "fos_buckling": 0.988820778326291, + "fos_yielding": 3.270854144891331, + "deflection": 10067575271200.113, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001221)" + }, + "parent_node_id": "node_2937", + "improvement_over_parent": null + }, + "node_2939": { + "node_id": "node_2939", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0021)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n M18: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n\nPerformance:\n Mass: 146.74 kg\n Factor of Safety: 0.07\n Max Deflection: 5.28e+13 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 146.73874892372126, + "fos_buckling": 0.06511396564325836, + "fos_yielding": 0.9860844127543579, + "deflection": 52752961775617.57, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.289)" + }, + "parent_node_id": "node_2938", + "improvement_over_parent": null + }, + "node_2940": { + "node_id": "node_2940", + "content": "MODIFICATION: Increase 4 thickness by 55%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n M18: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n\nPerformance:\n Mass: 148.18 kg\n Factor of Safety: 0.70\n Max Deflection: 2.63e+13 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 148.18289659346684, + "fos_buckling": 0.6955938222693074, + "fos_yielding": 1.5895716850483805, + "deflection": 26299953720374.074, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.550)" + }, + "parent_node_id": "node_2939", + "improvement_over_parent": null + }, + "node_2941": { + "node_id": "node_2941", + "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n M18: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n\nPerformance:\n Mass: 158.26 kg\n Factor of Safety: 0.97\n Max Deflection: 1.47e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 158.25601992951772, + "fos_buckling": 0.9683945837914758, + "fos_yielding": 4.149644427969487, + "deflection": 0.014673654517592016, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.004729)" + }, + "parent_node_id": "node_2940", + "improvement_over_parent": null + }, + "node_2942": { + "node_id": "node_2942", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n M18: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n\nPerformance:\n Mass: 164.51 kg\n Factor of Safety: 1.28\n Max Deflection: 1.39e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.50634067772012, + "fos_buckling": 1.2773782413745565, + "fos_yielding": 3.891533257669791, + "deflection": 0.013887933174682768, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003725)" + }, + "parent_node_id": "node_2941", + "improvement_over_parent": null + }, + "node_2943": { + "node_id": "node_2943", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n Mass: 204.81 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.80921639997317, + "fos_buckling": 1.5311301071822778, + "fos_yielding": 4.839694333232537, + "deflection": 0.011220776893918951, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.269)" + }, + "parent_node_id": "node_2942", + "improvement_over_parent": null + }, + "node_2944": { + "node_id": "node_2944", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2943", + "improvement_over_parent": null + }, + "node_2945": { + "node_id": "node_2945", + "content": "INITIAL DESIGN (Trace 422)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0036)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n\nPerformance:\n Mass: 148.98 kg\n Factor of Safety: 0.44\n Max Deflection: 2.19e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 148.9822907185174, + "fos_buckling": 0.43785053909972305, + "fos_yielding": 2.994312895063439, + "deflection": 0.021949486578919628, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2946": { + "node_id": "node_2946", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0036)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n\nPerformance:\n Mass: 155.80 kg\n Factor of Safety: 0.44\n Max Deflection: 2.15e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 155.79779208314952, + "fos_buckling": 0.43776600995995507, + "fos_yielding": 2.99400218158989, + "deflection": 0.021546121045976044, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004090)" + }, + "parent_node_id": "node_2945", + "improvement_over_parent": null + }, + "node_2947": { + "node_id": "node_2947", + "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0036)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n\nPerformance:\n Mass: 174.06 kg\n Factor of Safety: 1.05\n Max Deflection: 1.38e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.05658396551524, + "fos_buckling": 1.0460879232393812, + "fos_yielding": 4.226069169645842, + "deflection": 0.013840218393317217, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.006694)" + }, + "parent_node_id": "node_2946", + "improvement_over_parent": null + }, + "node_2948": { + "node_id": "node_2948", + "content": "MODIFICATION: Increase 16 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0036)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0059)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n\nPerformance:\n Mass: 175.84 kg\n Factor of Safety: 1.04\n Max Deflection: 1.40e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.8358690858234, + "fos_buckling": 1.04240908400462, + "fos_yielding": 4.226520769263166, + "deflection": 0.013953301056706245, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.196)" + }, + "parent_node_id": "node_2947", + "improvement_over_parent": null + }, + "node_2949": { + "node_id": "node_2949", + "content": "MODIFICATION: Increase 5 thickness by 56%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0059)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n\nPerformance:\n Mass: 179.57 kg\n Factor of Safety: 1.37\n Max Deflection: 1.30e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.57481011131438, + "fos_buckling": 1.3738579081831053, + "fos_yielding": 4.236616712185052, + "deflection": 0.012993108300217198, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.562)" + }, + "parent_node_id": "node_2948", + "improvement_over_parent": null + }, + "node_2950": { + "node_id": "node_2950", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0069)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 205.06 kg\n Factor of Safety: 1.53\n Max Deflection: 1.14e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 205.05675870355407, + "fos_buckling": 1.5315331447192133, + "fos_yielding": 4.834899371082998, + "deflection": 0.011416526380166863, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.156)" + }, + "parent_node_id": "node_2949", + "improvement_over_parent": null + }, + "node_2951": { + "node_id": "node_2951", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2950", + "improvement_over_parent": null + }, + "node_2952": { + "node_id": "node_2952", + "content": "INITIAL DESIGN (Trace 423)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0024)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n\nPerformance:\n Mass: 150.53 kg\n Factor of Safety: 0.40\n Max Deflection: 1.73e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 150.52938091429928, + "fos_buckling": 0.3965097799612775, + "fos_yielding": 3.506542638817856, + "deflection": 0.017265368602454197, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2953": { + "node_id": "node_2953", + "content": "MODIFICATION: Increase 13 thickness by 63%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n\nPerformance:\n Mass: 152.96 kg\n Factor of Safety: 0.40\n Max Deflection: 1.59e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 152.9559722470399, + "fos_buckling": 0.39626709921782266, + "fos_yielding": 3.5055636040846827, + "deflection": 0.015935552871729926, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.631)" + }, + "parent_node_id": "node_2952", + "improvement_over_parent": null + }, + "node_2954": { + "node_id": "node_2954", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n\nPerformance:\n Mass: 162.26 kg\n Factor of Safety: 0.16\n Max Deflection: 1.38e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.25698799945405, + "fos_buckling": 0.16250522358402594, + "fos_yielding": 3.8996552326515546, + "deflection": 0.013833810090549082, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.004677)" + }, + "parent_node_id": "node_2953", + "improvement_over_parent": null + }, + "node_2955": { + "node_id": "node_2955", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n\nPerformance:\n Mass: 163.21 kg\n Factor of Safety: 0.21\n Max Deflection: 1.37e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.20825924159817, + "fos_buckling": 0.21353757150083952, + "fos_yielding": 4.070331236325151, + "deflection": 0.01372910223808294, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002084)" + }, + "parent_node_id": "node_2954", + "improvement_over_parent": null + }, + "node_2956": { + "node_id": "node_2956", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n\nPerformance:\n Mass: 193.23 kg\n Factor of Safety: 0.25\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.2252025022003, + "fos_buckling": 0.24617265284967252, + "fos_yielding": 4.815066312712633, + "deflection": 0.011627101314461336, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.202)" + }, + "parent_node_id": "node_2955", + "improvement_over_parent": null + }, + "node_2957": { + "node_id": "node_2957", + "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n Mass: 204.65 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.65240266823992, + "fos_buckling": 1.5300811304468673, + "fos_yielding": 4.8355377974725515, + "deflection": 0.011229736251321228, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.005728)" + }, + "parent_node_id": "node_2956", + "improvement_over_parent": null + }, + "node_2958": { + "node_id": "node_2958", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2957", + "improvement_over_parent": null + }, + "node_2959": { + "node_id": "node_2959", + "content": "INITIAL DESIGN (Trace 424)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 175.26 kg\n Factor of Safety: 0.45\n Max Deflection: 1.55e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.25901654522886, + "fos_buckling": 0.4483413332123283, + "fos_yielding": 4.135914092099865, + "deflection": 0.015494810006308856, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2960": { + "node_id": "node_2960", + "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 187.80 kg\n Factor of Safety: 1.09\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 187.79800888519816, + "fos_buckling": 1.0941097081403113, + "fos_yielding": 4.835590341882798, + "deflection": 0.012378992293712863, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)" + }, + "parent_node_id": "node_2959", + "improvement_over_parent": null + }, + "node_2961": { + "node_id": "node_2961", + "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n Mass: 201.68 kg\n Factor of Safety: 1.36\n Max Deflection: 1.13e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.68291576081975, + "fos_buckling": 1.356971332838805, + "fos_yielding": 4.836716966158502, + "deflection": 0.011336901719907236, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)" + }, + "parent_node_id": "node_2960", + "improvement_over_parent": null + }, + "node_2962": { + "node_id": "node_2962", + "content": "MODIFICATION: Increase 7 thickness by 51%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.69821617046873, + "fos_buckling": 1.5303627592805058, + "fos_yielding": 4.836784714926174, + "deflection": 0.011226882200628117, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.513)" + }, + "parent_node_id": "node_2961", + "improvement_over_parent": null + }, + "node_2963": { + "node_id": "node_2963", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2962", + "improvement_over_parent": null + }, + "node_2964": { + "node_id": "node_2964", + "content": "INITIAL DESIGN (Trace 425)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0031)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0043)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0038)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0035)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0033)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0029)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0037)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0045)]\n\nPerformance:\n Mass: 113.16 kg\n Factor of Safety: 0.15\n Max Deflection: 1.95e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 113.1567083000238, + "fos_buckling": 0.1466746150916249, + "fos_yielding": 3.150278413112237, + "deflection": 0.0195399405077193, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2965": { + "node_id": "node_2965", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n Mass: 147.73 kg\n Factor of Safety: 0.19\n Max Deflection: 1.50e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 147.73243819882296, + "fos_buckling": 0.1855187817922034, + "fos_yielding": 4.112167501790508, + "deflection": 0.01501696174620327, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.328)" + }, + "parent_node_id": "node_2964", + "improvement_over_parent": null + }, + "node_2966": { + "node_id": "node_2966", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n Mass: 165.02 kg\n Factor of Safety: 0.20\n Max Deflection: 1.35e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.0227241667059, + "fos_buckling": 0.20389381112794644, + "fos_yielding": 4.593056970100759, + "deflection": 0.013466032730392026, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.127)" + }, + "parent_node_id": "node_2965", + "improvement_over_parent": null + }, + "node_2967": { + "node_id": "node_2967", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n\nPerformance:\n Mass: 171.95 kg\n Factor of Safety: 0.22\n Max Deflection: 1.30e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.94718463937326, + "fos_buckling": 0.2232489066631674, + "fos_yielding": 4.287251505756296, + "deflection": 0.013041454531341874, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004161)" + }, + "parent_node_id": "node_2966", + "improvement_over_parent": null + }, + "node_2968": { + "node_id": "node_2968", + "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n\nPerformance:\n Mass: 182.12 kg\n Factor of Safety: 1.39\n Max Deflection: 1.26e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.11534755573769, + "fos_buckling": 1.3909718862004377, + "fos_yielding": 4.305625714643887, + "deflection": 0.012578013339265426, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.005042)" + }, + "parent_node_id": "node_2967", + "improvement_over_parent": null + }, + "node_2969": { + "node_id": "node_2969", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n Mass: 204.66 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.6562385807928, + "fos_buckling": 1.530103487657454, + "fos_yielding": 4.83562452915274, + "deflection": 0.011229458654741408, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.136)" + }, + "parent_node_id": "node_2968", + "improvement_over_parent": null + }, + "node_2970": { + "node_id": "node_2970", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2969", + "improvement_over_parent": null + }, + "node_2971": { + "node_id": "node_2971", + "content": "INITIAL DESIGN (Trace 426)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n\nPerformance:\n Mass: 161.58 kg\n Factor of Safety: 0.95\n Max Deflection: 1.49e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 161.5768786031429, + "fos_buckling": 0.94634311099434, + "fos_yielding": 4.0283632587195894, + "deflection": 0.014866577806155053, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2972": { + "node_id": "node_2972", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 192.66 kg\n Factor of Safety: 1.09\n Max Deflection: 1.25e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.65565371239904, + "fos_buckling": 1.0933428382669963, + "fos_yielding": 4.7985624066767665, + "deflection": 0.012525395002748262, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.211)" + }, + "parent_node_id": "node_2971", + "improvement_over_parent": null + }, + "node_2973": { + "node_id": "node_2973", + "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n Mass: 202.12 kg\n Factor of Safety: 1.36\n Max Deflection: 1.14e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.11996827445387, + "fos_buckling": 1.3610217088408418, + "fos_yielding": 4.799904192278821, + "deflection": 0.011365698094529846, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)" + }, + "parent_node_id": "node_2972", + "improvement_over_parent": null + }, + "node_2974": { + "node_id": "node_2974", + "content": "MODIFICATION: Increase 13 thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0060)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n Mass: 204.04 kg\n Factor of Safety: 1.40\n Max Deflection: 1.13e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.04490850935343, + "fos_buckling": 1.3958126705479261, + "fos_yielding": 4.779424374241867, + "deflection": 0.011319493699303816, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.280)" + }, + "parent_node_id": "node_2973", + "improvement_over_parent": null + }, + "node_2975": { + "node_id": "node_2975", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2974", + "improvement_over_parent": null + }, + "node_2976": { + "node_id": "node_2976", + "content": "INITIAL DESIGN (Trace 427)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (17 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n\nPerformance:\n Mass: 149.13 kg\n Factor of Safety: 0.21\n Max Deflection: 1.55e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 149.12665270715547, + "fos_buckling": 0.21005762982342313, + "fos_yielding": 0.9860844127543577, + "deflection": 15529802400778.312, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2977": { + "node_id": "node_2977", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (17 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 170.19 kg\n Factor of Safety: 0.67\n Max Deflection: 4.19e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.1861994063674, + "fos_buckling": 0.6717605523031681, + "fos_yielding": 0.9860844127543579, + "deflection": 41919901588273.2, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.155)" + }, + "parent_node_id": "node_2976", + "improvement_over_parent": null + }, + "node_2978": { + "node_id": "node_2978", + "content": "MODIFICATION: Increase 0 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (17 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 172.31 kg\n Factor of Safety: 0.94\n Max Deflection: 1.10e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.30626188194407, + "fos_buckling": 0.9378443575733983, + "fos_yielding": 3.9443376510174315, + "deflection": 11041555944847.28, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.362)" + }, + "parent_node_id": "node_2977", + "improvement_over_parent": null + }, + "node_2979": { + "node_id": "node_2979", + "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n Mass: 183.73 kg\n Factor of Safety: 0.25\n Max Deflection: 7.08e+12 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.7334620479837, + "fos_buckling": 0.25153181136924996, + "fos_yielding": 3.9443376510174315, + "deflection": 7079260055062.426, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.005728)" + }, + "parent_node_id": "node_2978", + "improvement_over_parent": null + }, + "node_2980": { + "node_id": "node_2980", + "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 196.27 kg\n Factor of Safety: 1.15\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.272454387953, + "fos_buckling": 1.1544154291561721, + "fos_yielding": 5.164475842491875, + "deflection": 0.01190977216949946, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)" + }, + "parent_node_id": "node_2979", + "improvement_over_parent": null + }, + "node_2981": { + "node_id": "node_2981", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n Mass: 204.05 kg\n Factor of Safety: 1.53\n Max Deflection: 1.13e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.05410290020546, + "fos_buckling": 1.5290730729759152, + "fos_yielding": 4.842899384174019, + "deflection": 0.011339955953252935, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004727)" + }, + "parent_node_id": "node_2980", + "improvement_over_parent": null + }, + "node_2982": { + "node_id": "node_2982", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n Mass: 204.77 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.77023472667912, + "fos_buckling": 1.5309201538201076, + "fos_yielding": 4.838760166385585, + "deflection": 0.01122242126985867, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)" + }, + "parent_node_id": "node_2981", + "improvement_over_parent": null + }, + "node_2983": { + "node_id": "node_2983", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2982", + "improvement_over_parent": null + }, + "node_2984": { + "node_id": "node_2984", + "content": "INITIAL DESIGN (Trace 428)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n Mass: 156.71 kg\n Factor of Safety: 0.21\n Max Deflection: 4.00e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 156.70705873287977, + "fos_buckling": 0.21261538600722543, + "fos_yielding": 1.1704138893602514, + "deflection": 0.0399613202026045, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2985": { + "node_id": "node_2985", + "content": "MODIFICATION: Increase 15 thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n Mass: 158.12 kg\n Factor of Safety: 0.25\n Max Deflection: 3.82e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 158.11925805858692, + "fos_buckling": 0.25299848698882804, + "fos_yielding": 1.1702744170574082, + "deflection": 0.0382191722048502, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.244)" + }, + "parent_node_id": "node_2984", + "improvement_over_parent": null + }, + "node_2986": { + "node_id": "node_2986", + "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n M18: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nPerformance:\n Mass: 171.69 kg\n Factor of Safety: 0.39\n Max Deflection: 1.46e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.68654444268807, + "fos_buckling": 0.38854710963676875, + "fos_yielding": 4.601824664410442, + "deflection": 0.014622851681429159, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.006306)" + }, + "parent_node_id": "node_2985", + "improvement_over_parent": null + }, + "node_2987": { + "node_id": "node_2987", + "content": "MODIFICATION: Increase 13 thickness by 35%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0067)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n M18: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nPerformance:\n Mass: 174.76 kg\n Factor of Safety: 0.39\n Max Deflection: 1.43e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.761182216259, + "fos_buckling": 0.38895878508038334, + "fos_yielding": 4.601824664410438, + "deflection": 0.014272061173454116, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.350)" + }, + "parent_node_id": "node_2986", + "improvement_over_parent": null + }, + "node_2988": { + "node_id": "node_2988", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0076)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 195.55 kg\n Factor of Safety: 0.43\n Max Deflection: 1.28e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.5532662173957, + "fos_buckling": 0.42611858364888716, + "fos_yielding": 5.148479704017208, + "deflection": 0.012793611575149057, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.131)" + }, + "parent_node_id": "node_2987", + "improvement_over_parent": null + }, + "node_2989": { + "node_id": "node_2989", + "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0076)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M19: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n Mass: 205.07 kg\n Factor of Safety: 1.47\n Max Deflection: 1.12e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.06892403439605, + "fos_buckling": 1.4664444871052986, + "fos_yielding": 4.800068834163721, + "deflection": 0.011185857199231502, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.005227)" + }, + "parent_node_id": "node_2988", + "improvement_over_parent": null + }, + "node_2990": { + "node_id": "node_2990", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0076)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M19: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M20: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n\nPerformance:\n Mass: 206.20 kg\n Factor of Safety: 1.52\n Max Deflection: 1.11e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 206.19557185468267, + "fos_buckling": 1.5166647935958044, + "fos_yielding": 4.867525054249487, + "deflection": 0.011146964508715523, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002506)" + }, + "parent_node_id": "node_2989", + "improvement_over_parent": null + }, + "node_2991": { + "node_id": "node_2991", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2990", + "improvement_over_parent": null + }, + "node_2992": { + "node_id": "node_2992", + "content": "INITIAL DESIGN (Trace 429)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n\nPerformance:\n Mass: 167.97 kg\n Factor of Safety: 1.29\n Max Deflection: 1.35e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 167.96522999725877, + "fos_buckling": 1.2935944946446796, + "fos_yielding": 4.059118199581219, + "deflection": 0.013534336313814434, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2993": { + "node_id": "node_2993", + "content": "MODIFICATION: Increase 19 thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n\nPerformance:\n Mass: 170.09 kg\n Factor of Safety: 1.32\n Max Deflection: 1.35e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.0944470826516, + "fos_buckling": 1.3246720202070246, + "fos_yielding": 4.059140403621337, + "deflection": 0.01345293894686428, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(19, thickness, 1.241)" + }, + "parent_node_id": "node_2992", + "improvement_over_parent": null + }, + "node_2994": { + "node_id": "node_2994", + "content": "MODIFICATION: Increase 16 thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n\nPerformance:\n Mass: 171.79 kg\n Factor of Safety: 1.32\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.78862849136445, + "fos_buckling": 1.3248926551374256, + "fos_yielding": 4.0624834350575885, + "deflection": 0.013314024045296467, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.242)" + }, + "parent_node_id": "node_2993", + "improvement_over_parent": null + }, + "node_2995": { + "node_id": "node_2995", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.79 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.79050919617868, + "fos_buckling": 1.5309812063671104, + "fos_yielding": 4.838641268149906, + "deflection": 0.011222307297924467, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.211)" + }, + "parent_node_id": "node_2994", + "improvement_over_parent": null + }, + "node_2996": { + "node_id": "node_2996", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2995", + "improvement_over_parent": null + }, + "node_2997": { + "node_id": "node_2997", + "content": "INITIAL DESIGN (Trace 430)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0026)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0052)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0049)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0046)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0040)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0037)]\n\nPerformance:\n Mass: 141.37 kg\n Factor of Safety: 0.92\n Max Deflection: 1.61e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 141.37098092921215, + "fos_buckling": 0.9172586594340054, + "fos_yielding": 3.487122277534715, + "deflection": 0.01606204183079877, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2998": { + "node_id": "node_2998", + "content": "MODIFICATION: Increase 20 thickness by 47%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0026)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0052)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0049)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0046)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0040)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0055)]\n\nPerformance:\n Mass: 145.99 kg\n Factor of Safety: 1.12\n Max Deflection: 1.55e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 145.99248479957544, + "fos_buckling": 1.12253245973613, + "fos_yielding": 3.4867729148897944, + "deflection": 0.015528582722022372, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(20, thickness, 1.468)" + }, + "parent_node_id": "node_2997", + "improvement_over_parent": null + }, + "node_2999": { + "node_id": "node_2999", + "content": "MODIFICATION: Increase 18 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0026)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0052)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0049)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0046)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0040)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0055)]\n\nPerformance:\n Mass: 146.90 kg\n Factor of Safety: 1.12\n Max Deflection: 1.56e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 146.90105017651516, + "fos_buckling": 1.1203199787792355, + "fos_yielding": 3.4862905111042863, + "deflection": 0.015566271936710237, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(18, thickness, 1.181)" + }, + "parent_node_id": "node_2998", + "improvement_over_parent": null + }, + "node_3000": { + "node_id": "node_3000", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0030)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n\nPerformance:\n Mass: 163.85 kg\n Factor of Safety: 1.23\n Max Deflection: 1.40e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.84586952743285, + "fos_buckling": 1.2265010524418627, + "fos_yielding": 3.886565521023976, + "deflection": 0.013990697546459999, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.124)" + }, + "parent_node_id": "node_2999", + "improvement_over_parent": null + }, + "node_3001": { + "node_id": "node_3001", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 202.09 kg\n Factor of Safety: 1.45\n Max Deflection: 1.14e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.08625564309682, + "fos_buckling": 1.4496621622572832, + "fos_yielding": 4.788484378385356, + "deflection": 0.011405909382364137, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.256)" + }, + "parent_node_id": "node_3000", + "improvement_over_parent": null + }, + "node_3002": { + "node_id": "node_3002", + "content": "MODIFICATION: Increase 0 thickness by 44%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.53 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.52698283048983, + "fos_buckling": 1.5291785196709147, + "fos_yielding": 4.832639638590608, + "deflection": 0.011236518340149453, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.439)" + }, + "parent_node_id": "node_3001", + "improvement_over_parent": null + }, + "node_3003": { + "node_id": "node_3003", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3002", + "improvement_over_parent": null + }, + "node_3004": { + "node_id": "node_3004", + "content": "INITIAL DESIGN (Trace 431)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n Mass: 163.26 kg\n Factor of Safety: 1.11\n Max Deflection: 1.38e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.26320134182473, + "fos_buckling": 1.1131391737813787, + "fos_yielding": 3.8348597215130678, + "deflection": 0.013819789916914117, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3005": { + "node_id": "node_3005", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 202.82 kg\n Factor of Safety: 1.32\n Max Deflection: 1.12e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.818109969968, + "fos_buckling": 1.3209000981302879, + "fos_yielding": 4.758502394079243, + "deflection": 0.011191625558595276, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.266)" + }, + "parent_node_id": "node_3004", + "improvement_over_parent": null + }, + "node_3006": { + "node_id": "node_3006", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n\nPerformance:\n Mass: 203.94 kg\n Factor of Safety: 1.53\n Max Deflection: 1.13e-02 m\n Status: FEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 203.9447577902546, + "fos_buckling": 1.5283027459329974, + "fos_yielding": 4.839985394735037, + "deflection": 0.0113466620808725, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002506)" + }, + "parent_node_id": "node_3005", + "improvement_over_parent": null + }, + "node_3007": { + "node_id": "node_3007", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n Mass: 204.66 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.66088961672827, + "fos_buckling": 1.5301510737208481, + "fos_yielding": 4.835844576095125, + "deflection": 0.011228947329025766, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)" + }, + "parent_node_id": "node_3006", + "improvement_over_parent": null + }, + "node_3008": { + "node_id": "node_3008", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3007", + "improvement_over_parent": null + }, + "node_3009": { + "node_id": "node_3009", + "content": "INITIAL DESIGN (Trace 432)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n Mass: 143.79 kg\n Factor of Safety: 0.25\n Max Deflection: 3.79e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 143.79053381640955, + "fos_buckling": 0.2531045704572161, + "fos_yielding": 1.0929470357595448, + "deflection": 0.03787957982056865, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3010": { + "node_id": "node_3010", + "content": "MODIFICATION: Increase 8 thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n Mass: 143.99 kg\n Factor of Safety: 0.25\n Max Deflection: 3.73e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 143.98790644679192, + "fos_buckling": 0.25309616249921696, + "fos_yielding": 1.092910363388761, + "deflection": 0.0372585518816037, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.289)" + }, + "parent_node_id": "node_3009", + "improvement_over_parent": null + }, + "node_3011": { + "node_id": "node_3011", + "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n\nPerformance:\n Mass: 155.49 kg\n Factor of Safety: 0.25\n Max Deflection: 3.73e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 155.4883903967928, + "fos_buckling": 0.2528514505440123, + "fos_yielding": 1.1771142065834728, + "deflection": 0.03732445760242735, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.005143)" + }, + "parent_node_id": "node_3010", + "improvement_over_parent": null + }, + "node_3012": { + "node_id": "node_3012", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n\nPerformance:\n Mass: 165.83 kg\n Factor of Safety: 0.76\n Max Deflection: 1.49e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.8327163938293, + "fos_buckling": 0.7648798188329645, + "fos_yielding": 4.025502253164417, + "deflection": 0.01494145456237386, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.005269)" + }, + "parent_node_id": "node_3011", + "improvement_over_parent": null + }, + "node_3013": { + "node_id": "node_3013", + "content": "MODIFICATION: Increase 14 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0054)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n\nPerformance:\n Mass: 167.36 kg\n Factor of Safety: 0.76\n Max Deflection: 1.49e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 167.35855542895402, + "fos_buckling": 0.7626030385101294, + "fos_yielding": 4.0280701735720905, + "deflection": 0.014884167402522403, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.183)" + }, + "parent_node_id": "node_3012", + "improvement_over_parent": null + }, + "node_3014": { + "node_id": "node_3014", + "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0054)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n\nPerformance:\n Mass: 169.94 kg\n Factor of Safety: 1.31\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.9388122362228, + "fos_buckling": 1.3108121629261826, + "fos_yielding": 4.014731598612888, + "deflection": 0.013416705897203573, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003394)" + }, + "parent_node_id": "node_3013", + "improvement_over_parent": null + }, + "node_3015": { + "node_id": "node_3015", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0066)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n Mass: 205.05 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 205.04731674433918, + "fos_buckling": 1.5303387293737867, + "fos_yielding": 4.8400019164853685, + "deflection": 0.01117696729421878, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.227)" + }, + "parent_node_id": "node_3014", + "improvement_over_parent": null + }, + "node_3016": { + "node_id": "node_3016", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3015", + "improvement_over_parent": null + }, + "node_3017": { + "node_id": "node_3017", + "content": "INITIAL DESIGN (Trace 433)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0026)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0027)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n Mass: 129.68 kg\n Factor of Safety: 0.34\n Max Deflection: 2.38e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 129.68193460639944, + "fos_buckling": 0.3351169050510654, + "fos_yielding": 2.9036451445133924, + "deflection": 0.02380583856077994, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3018": { + "node_id": "node_3018", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0026)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0027)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n\nPerformance:\n Mass: 130.47 kg\n Factor of Safety: 0.33\n Max Deflection: 2.00e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 130.47031232941663, + "fos_buckling": 0.3349843551955239, + "fos_yielding": 2.9034195815576913, + "deflection": 0.019980943033734648, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.001704)" + }, + "parent_node_id": "node_3017", + "improvement_over_parent": null + }, + "node_3019": { + "node_id": "node_3019", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0030)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0031)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n\nPerformance:\n Mass: 149.93 kg\n Factor of Safety: 0.38\n Max Deflection: 1.74e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 149.92522620477482, + "fos_buckling": 0.37634256498688096, + "fos_yielding": 3.3322951028074947, + "deflection": 0.017449688658547426, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.160)" + }, + "parent_node_id": "node_3018", + "improvement_over_parent": null + }, + "node_3020": { + "node_id": "node_3020", + "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0030)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0031)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n\nPerformance:\n Mass: 160.01 kg\n Factor of Safety: 1.05\n Max Deflection: 1.38e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 160.01023046593542, + "fos_buckling": 1.0504294675075778, + "fos_yielding": 3.8588989655706656, + "deflection": 0.013784054675573107, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.004735)" + }, + "parent_node_id": "node_3019", + "improvement_over_parent": null + }, + "node_3021": { + "node_id": "node_3021", + "content": "MODIFICATION: Increase 17 thickness by 45%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0030)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0031)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0072)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n\nPerformance:\n Mass: 164.51 kg\n Factor of Safety: 1.04\n Max Deflection: 1.37e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.51247482291893, + "fos_buckling": 1.0424419011819428, + "fos_yielding": 3.858870424250612, + "deflection": 0.013657122961861144, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.449)" + }, + "parent_node_id": "node_3020", + "improvement_over_parent": null + }, + "node_3022": { + "node_id": "node_3022", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0091)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 204.42 kg\n Factor of Safety: 1.27\n Max Deflection: 1.11e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.42130567199635, + "fos_buckling": 1.2734076645405092, + "fos_yielding": 4.792855119817506, + "deflection": 0.011054872047297323, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.267)" + }, + "parent_node_id": "node_3021", + "improvement_over_parent": null + }, + "node_3023": { + "node_id": "node_3023", + "content": "MODIFICATION: Increase 0 thickness by 41%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0091)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 206.75 kg\n Factor of Safety: 1.27\n Max Deflection: 1.09e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.74669424791318, + "fos_buckling": 1.270712303252084, + "fos_yielding": 4.834135164987018, + "deflection": 0.010896204452063634, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.410)" + }, + "parent_node_id": "node_3022", + "improvement_over_parent": null + }, + "node_3024": { + "node_id": "node_3024", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3023", + "improvement_over_parent": null + }, + "node_3025": { + "node_id": "node_3025", + "content": "INITIAL DESIGN (Trace 434)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0030)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 177.86 kg\n Factor of Safety: 0.94\n Max Deflection: 1.52e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.86154011347386, + "fos_buckling": 0.9374241533915229, + "fos_yielding": 4.719922020289947, + "deflection": 0.015176172145818718, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3026": { + "node_id": "node_3026", + "content": "MODIFICATION: Increase 3 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0030)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 180.21 kg\n Factor of Safety: 0.94\n Max Deflection: 1.48e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.20641829578577, + "fos_buckling": 0.9372489159793981, + "fos_yielding": 4.719822687601231, + "deflection": 0.014844548727442147, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.217)" + }, + "parent_node_id": "node_3025", + "improvement_over_parent": null + }, + "node_3027": { + "node_id": "node_3027", + "content": "MODIFICATION: Increase 6 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0030)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 182.68 kg\n Factor of Safety: 0.94\n Max Deflection: 1.44e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.6830201001955, + "fos_buckling": 0.9426925325545217, + "fos_yielding": 4.718335256560222, + "deflection": 0.014403067070873531, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.214)" + }, + "parent_node_id": "node_3026", + "improvement_over_parent": null + }, + "node_3028": { + "node_id": "node_3028", + "content": "MODIFICATION: Increase 5 thickness by 41%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 185.01 kg\n Factor of Safety: 1.09\n Max Deflection: 1.36e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.01447521877844, + "fos_buckling": 1.0939886149928417, + "fos_yielding": 4.728353481380084, + "deflection": 0.013558809521456418, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.408)" + }, + "parent_node_id": "node_3027", + "improvement_over_parent": null + }, + "node_3029": { + "node_id": "node_3029", + "content": "MODIFICATION: Increase 0 thickness by 61%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 188.08 kg\n Factor of Safety: 1.09\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.07898802331812, + "fos_buckling": 1.093893930986829, + "fos_yielding": 4.780006952302539, + "deflection": 0.013360240206697835, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.613)" + }, + "parent_node_id": "node_3028", + "improvement_over_parent": null + }, + "node_3030": { + "node_id": "node_3030", + "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n Mass: 197.54 kg\n Factor of Safety: 1.18\n Max Deflection: 1.22e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.54330258537294, + "fos_buckling": 1.1807696199592888, + "fos_yielding": 4.781218149520792, + "deflection": 0.012211174516689752, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)" + }, + "parent_node_id": "node_3029", + "improvement_over_parent": null + }, + "node_3031": { + "node_id": "node_3031", + "content": "MODIFICATION: Increase 5 thickness by 54%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n Mass: 201.64 kg\n Factor of Safety: 1.32\n Max Deflection: 1.14e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.64290159028667, + "fos_buckling": 1.3155565795387774, + "fos_yielding": 4.791616126891849, + "deflection": 0.011398285064774819, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.536)" + }, + "parent_node_id": "node_3030", + "improvement_over_parent": null + }, + "node_3032": { + "node_id": "node_3032", + "content": "MODIFICATION: Increase 13 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0064)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n Mass: 204.06 kg\n Factor of Safety: 1.35\n Max Deflection: 1.13e-02 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.06498228048468, + "fos_buckling": 1.3502650153557452, + "fos_yielding": 4.766540296338809, + "deflection": 0.011339776316719478, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.355)" + }, + "parent_node_id": "node_3031", + "improvement_over_parent": null + }, + "node_3033": { + "node_id": "node_3033", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3032", + "improvement_over_parent": null + }, + "node_3034": { + "node_id": "node_3034", + "content": "INITIAL DESIGN (Trace 435)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (17 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 0, + "fos_buckling": 0, + "fos_yielding": 0, + "deflection": Infinity, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3035": { + "node_id": "node_3035", + "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n\nPerformance:\n Mass: 154.69 kg\n Factor of Safety: 0.91\n Max Deflection: 1.48e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 154.689477247895, + "fos_buckling": 0.9126502482220047, + "fos_yielding": 4.263513103140641, + "deflection": 0.014782902860889263, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004266)" + }, + "parent_node_id": "node_3034", + "improvement_over_parent": null + }, + "node_3036": { + "node_id": "node_3036", + "content": "MODIFICATION: Increase 10 thickness by 35%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n\nPerformance:\n Mass: 154.84 kg\n Factor of Safety: 0.91\n Max Deflection: 1.48e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 154.84190877561426, + "fos_buckling": 0.9126993115037995, + "fos_yielding": 4.263496987084498, + "deflection": 0.014783265444355516, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.351)" + }, + "parent_node_id": "node_3035", + "improvement_over_parent": null + }, + "node_3037": { + "node_id": "node_3037", + "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M18: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n\nPerformance:\n Mass: 163.11 kg\n Factor of Safety: 0.91\n Max Deflection: 1.44e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.11043486958098, + "fos_buckling": 0.9146998429621869, + "fos_yielding": 4.216569609440224, + "deflection": 0.014360533271892456, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.004484)" + }, + "parent_node_id": "node_3036", + "improvement_over_parent": null + }, + "node_3038": { + "node_id": "node_3038", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n Mass: 187.76 kg\n Factor of Safety: 1.03\n Max Deflection: 1.25e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 187.75588503724163, + "fos_buckling": 1.032579832996188, + "fos_yielding": 4.85017818913417, + "deflection": 0.012505000405506806, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.166)" + }, + "parent_node_id": "node_3037", + "improvement_over_parent": null + }, + "node_3039": { + "node_id": "node_3039", + "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n Mass: 201.64 kg\n Factor of Safety: 0.90\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.64079191286322, + "fos_buckling": 0.8990271942997585, + "fos_yielding": 4.85457656464808, + "deflection": 0.01239943913548727, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)" + }, + "parent_node_id": "node_3038", + "improvement_over_parent": null + }, + "node_3040": { + "node_id": "node_3040", + "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n Mass: 204.76 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.75616981258364, + "fos_buckling": 1.530696436213111, + "fos_yielding": 4.838214275886028, + "deflection": 0.01122370061511119, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)" + }, + "parent_node_id": "node_3039", + "improvement_over_parent": null + }, + "node_3041": { + "node_id": "node_3041", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3040", + "improvement_over_parent": null + }, + "node_3042": { + "node_id": "node_3042", + "content": "INITIAL DESIGN (Trace 436)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0025)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0030)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0035)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0033)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0020)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0021)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0034)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0027)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0027)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0008)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0009)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0020)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0025)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0028)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0022)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0025)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0027)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0027)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0024)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0030)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0037)]\n\nPerformance:\n Mass: 99.56 kg\n Factor of Safety: 0.63\n Max Deflection: 2.38e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 99.56062453553741, + "fos_buckling": 0.6305264991110969, + "fos_yielding": 2.3991376496058403, + "deflection": 0.023829698671110993, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3043": { + "node_id": "node_3043", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0046)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0043)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0027)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0011)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0037)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0029)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0048)]\n\nPerformance:\n Mass: 129.16 kg\n Factor of Safety: 0.80\n Max Deflection: 1.84e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 129.15880433357194, + "fos_buckling": 0.8032747445893249, + "fos_yielding": 3.109435743634618, + "deflection": 0.01843702553628018, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.314)" + }, + "parent_node_id": "node_3042", + "improvement_over_parent": null + }, + "node_3044": { + "node_id": "node_3044", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0033)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n Mass: 155.82 kg\n Factor of Safety: 0.95\n Max Deflection: 1.53e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 155.82406150070491, + "fos_buckling": 0.9532227669265043, + "fos_yielding": 3.748177017743958, + "deflection": 0.015332423751416064, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.221)" + }, + "parent_node_id": "node_3043", + "improvement_over_parent": null + }, + "node_3045": { + "node_id": "node_3045", + "content": "MODIFICATION: Increase 9 thickness by 44%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0033)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n Mass: 156.08 kg\n Factor of Safety: 0.96\n Max Deflection: 1.53e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 156.07962328473724, + "fos_buckling": 0.9593017254951043, + "fos_yielding": 3.75634121747058, + "deflection": 0.015333527981011699, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.441)" + }, + "parent_node_id": "node_3044", + "improvement_over_parent": null + }, + "node_3046": { + "node_id": "node_3046", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0043)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 200.79 kg\n Factor of Safety: 1.20\n Max Deflection: 1.20e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.7930281694712, + "fos_buckling": 1.1996813599111376, + "fos_yielding": 4.825330790520158, + "deflection": 0.01198364157329179, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.314)" + }, + "parent_node_id": "node_3045", + "improvement_over_parent": null + }, + "node_3047": { + "node_id": "node_3047", + "content": "MODIFICATION: Increase 5 thickness by 49%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.67 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.66728887494753, + "fos_buckling": 1.5301371484548831, + "fos_yielding": 4.835810346958145, + "deflection": 0.011227856145860408, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.493)" + }, + "parent_node_id": "node_3046", + "improvement_over_parent": null + }, + "node_3048": { + "node_id": "node_3048", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3047", + "improvement_over_parent": null + }, + "node_3049": { + "node_id": "node_3049", + "content": "INITIAL DESIGN (Trace 437)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0032)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0025)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n Mass: 138.47 kg\n Factor of Safety: 0.67\n Max Deflection: 1.77e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 138.46614630088752, + "fos_buckling": 0.6679058018517122, + "fos_yielding": 2.812070655145737, + "deflection": 0.017723620458914645, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3050": { + "node_id": "node_3050", + "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0032)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0025)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n\nPerformance:\n Mass: 140.67 kg\n Factor of Safety: 0.83\n Max Deflection: 1.63e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 140.6682370477832, + "fos_buckling": 0.8301382951614728, + "fos_yielding": 2.8036399193549566, + "deflection": 0.016272506576750917, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.002864)" + }, + "parent_node_id": "node_3049", + "improvement_over_parent": null + }, + "node_3051": { + "node_id": "node_3051", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0032)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n\nPerformance:\n Mass: 173.86 kg\n Factor of Safety: 1.01\n Max Deflection: 1.32e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.85935868941203, + "fos_buckling": 1.006735176820713, + "fos_yielding": 3.4715985840359354, + "deflection": 0.01322835334571094, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.255)" + }, + "parent_node_id": "node_3050", + "improvement_over_parent": null + }, + "node_3052": { + "node_id": "node_3052", + "content": "MODIFICATION: Increase 8 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0032)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n\nPerformance:\n Mass: 174.72 kg\n Factor of Safety: 1.04\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.72166592951788, + "fos_buckling": 1.0405321963208185, + "fos_yielding": 4.158808400817206, + "deflection": 0.01314908110979914, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.221)" + }, + "parent_node_id": "node_3051", + "improvement_over_parent": null + }, + "node_3053": { + "node_id": "node_3053", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0037)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n Mass: 200.05 kg\n Factor of Safety: 1.17\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.04853262946816, + "fos_buckling": 1.1735072182377195, + "fos_yielding": 4.758088367263445, + "deflection": 0.011526022387477963, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.159)" + }, + "parent_node_id": "node_3052", + "improvement_over_parent": null + }, + "node_3054": { + "node_id": "node_3054", + "content": "MODIFICATION: Increase 13 thickness by 64%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0037)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0077)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n Mass: 204.28 kg\n Factor of Safety: 1.20\n Max Deflection: 1.14e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.27939953616655, + "fos_buckling": 1.1956821566166655, + "fos_yielding": 4.718350166818325, + "deflection": 0.01142156450029976, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.639)" + }, + "parent_node_id": "node_3053", + "improvement_over_parent": null + }, + "node_3055": { + "node_id": "node_3055", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3054", + "improvement_over_parent": null + }, + "node_3056": { + "node_id": "node_3056", + "content": "INITIAL DESIGN (Trace 438)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0049)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0046)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0043)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0040)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0020)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0052)]\n\nPerformance:\n Mass: 135.97 kg\n Factor of Safety: 0.66\n Max Deflection: 1.79e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 135.97349667134912, + "fos_buckling": 0.6576632003364038, + "fos_yielding": 3.3289572356593995, + "deflection": 0.01789704261047404, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3057": { + "node_id": "node_3057", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0024)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n Mass: 155.63 kg\n Factor of Safety: 0.74\n Max Deflection: 1.57e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 155.62744655647975, + "fos_buckling": 0.7403998681968306, + "fos_yielding": 3.8075795221526096, + "deflection": 0.015664925464974805, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.155)" + }, + "parent_node_id": "node_3056", + "improvement_over_parent": null + }, + "node_3058": { + "node_id": "node_3058", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0026)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n\nPerformance:\n Mass: 172.88 kg\n Factor of Safety: 0.81\n Max Deflection: 1.41e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.87866971809044, + "fos_buckling": 0.8104395989835078, + "fos_yielding": 4.227147378212313, + "deflection": 0.01412398255542637, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.120)" + }, + "parent_node_id": "node_3057", + "improvement_over_parent": null + }, + "node_3059": { + "node_id": "node_3059", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 197.45 kg\n Factor of Safety: 0.91\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.45083799497883, + "fos_buckling": 0.9060242509075148, + "fos_yielding": 4.823885247930506, + "deflection": 0.012394089654467378, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.156)" + }, + "parent_node_id": "node_3058", + "improvement_over_parent": null + }, + "node_3060": { + "node_id": "node_3060", + "content": "MODIFICATION: Increase 16 thickness by 63%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 200.59 kg\n Factor of Safety: 0.90\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.59205281394043, + "fos_buckling": 0.8951906617834066, + "fos_yielding": 4.825299158155504, + "deflection": 0.012387581926698562, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.629)" + }, + "parent_node_id": "node_3059", + "improvement_over_parent": null + }, + "node_3061": { + "node_id": "node_3061", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n\nPerformance:\n Mass: 201.72 kg\n Factor of Safety: 0.90\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.71870063422705, + "fos_buckling": 0.89930000415058, + "fos_yielding": 4.856355665721654, + "deflection": 0.012394928716131185, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002506)" + }, + "parent_node_id": "node_3060", + "improvement_over_parent": null + }, + "node_3062": { + "node_id": "node_3062", + "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n Mass: 204.83 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.83407853394746, + "fos_buckling": 1.531173627136647, + "fos_yielding": 4.8399821894443615, + "deflection": 0.01121956722166557, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)" + }, + "parent_node_id": "node_3061", + "improvement_over_parent": null + }, + "node_3063": { + "node_id": "node_3063", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3062", + "improvement_over_parent": null + }, + "node_3064": { + "node_id": "node_3064", + "content": "INITIAL DESIGN (Trace 439)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0037)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0036)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n Mass: 151.38 kg\n Factor of Safety: 0.78\n Max Deflection: 1.62e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 151.37957996759206, + "fos_buckling": 0.7781912537266568, + "fos_yielding": 4.028258584150865, + "deflection": 0.01618013168133766, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3065": { + "node_id": "node_3065", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0037)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0036)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n\nPerformance:\n Mass: 155.52 kg\n Factor of Safety: 1.05\n Max Deflection: 1.51e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 155.52099180406725, + "fos_buckling": 1.05382593078855, + "fos_yielding": 3.7461132274894373, + "deflection": 0.015116469426616671, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003221)" + }, + "parent_node_id": "node_3064", + "improvement_over_parent": null + }, + "node_3066": { + "node_id": "node_3066", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0043)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n\nPerformance:\n Mass: 177.21 kg\n Factor of Safety: 1.18\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.2102300157129, + "fos_buckling": 1.1814636143295265, + "fos_yielding": 4.265309884096183, + "deflection": 0.013304033875083107, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.151)" + }, + "parent_node_id": "node_3065", + "improvement_over_parent": null + }, + "node_3067": { + "node_id": "node_3067", + "content": "MODIFICATION: Increase 13 thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0043)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0053)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n\nPerformance:\n Mass: 178.87 kg\n Factor of Safety: 1.18\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.86593243132427, + "fos_buckling": 1.1831332417278573, + "fos_yielding": 4.247542310591356, + "deflection": 0.013252080012574372, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.266)" + }, + "parent_node_id": "node_3066", + "improvement_over_parent": null + }, + "node_3068": { + "node_id": "node_3068", + "content": "MODIFICATION: Increase 5 thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0043)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0083)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0053)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n\nPerformance:\n Mass: 182.77 kg\n Factor of Safety: 1.19\n Max Deflection: 1.27e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.76980858399872, + "fos_buckling": 1.190860627138026, + "fos_yielding": 4.245576347252574, + "deflection": 0.012694607702988654, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.323)" + }, + "parent_node_id": "node_3067", + "improvement_over_parent": null + }, + "node_3069": { + "node_id": "node_3069", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0094)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0060)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 205.67 kg\n Factor of Safety: 1.32\n Max Deflection: 1.13e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.66645942791968, + "fos_buckling": 1.3179724284890342, + "fos_yielding": 4.7762972407755235, + "deflection": 0.011316773137470803, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.138)" + }, + "parent_node_id": "node_3068", + "improvement_over_parent": null + }, + "node_3070": { + "node_id": "node_3070", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3069", + "improvement_over_parent": null + }, + "node_3071": { + "node_id": "node_3071", + "content": "INITIAL DESIGN (Trace 440)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0027)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n Mass: 156.68 kg\n Factor of Safety: 0.77\n Max Deflection: 1.62e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 156.67738929214417, + "fos_buckling": 0.7733285020189165, + "fos_yielding": 3.8985296510890235, + "deflection": 0.016216692892466456, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3072": { + "node_id": "node_3072", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 196.71 kg\n Factor of Safety: 0.95\n Max Deflection: 1.30e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.70954659395989, + "fos_buckling": 0.945946386125375, + "fos_yielding": 4.887509248805005, + "deflection": 0.012960583883613734, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.280)" + }, + "parent_node_id": "node_3071", + "improvement_over_parent": null + }, + "node_3073": { + "node_id": "node_3073", + "content": "MODIFICATION: Increase 16 thickness by 42%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 199.11 kg\n Factor of Safety: 0.95\n Max Deflection: 1.30e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.11259269842145, + "fos_buckling": 0.9489884624877613, + "fos_yielding": 4.886738233652416, + "deflection": 0.01296262732560574, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.425)" + }, + "parent_node_id": "node_3072", + "improvement_over_parent": null + }, + "node_3074": { + "node_id": "node_3074", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n Mass: 199.83 kg\n Factor of Safety: 0.81\n Max Deflection: 1.25e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.8287245248951, + "fos_buckling": 0.8094991300659664, + "fos_yielding": 4.849446147850145, + "deflection": 0.012545000902070447, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)" + }, + "parent_node_id": "node_3073", + "improvement_over_parent": null + }, + "node_3075": { + "node_id": "node_3075", + "content": "MODIFICATION: Increase 16 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0059)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n Mass: 201.23 kg\n Factor of Safety: 0.81\n Max Deflection: 1.25e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.2343553744833, + "fos_buckling": 0.8074656748001615, + "fos_yielding": 4.849382558600365, + "deflection": 0.012544866876034604, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.183)" + }, + "parent_node_id": "node_3074", + "improvement_over_parent": null + }, + "node_3076": { + "node_id": "node_3076", + "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0059)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n Mass: 204.35 kg\n Factor of Safety: 1.47\n Max Deflection: 1.12e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.34973327420371, + "fos_buckling": 1.4677658151903572, + "fos_yielding": 4.832509374601516, + "deflection": 0.011162601916967897, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)" + }, + "parent_node_id": "node_3075", + "improvement_over_parent": null + }, + "node_3077": { + "node_id": "node_3077", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3076", + "improvement_over_parent": null + }, + "node_3078": { + "node_id": "node_3078", + "content": "INITIAL DESIGN (Trace 441)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n\nPerformance:\n Mass: 126.43 kg\n Factor of Safety: 0.72\n Max Deflection: 1.67e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 126.42966156163843, + "fos_buckling": 0.7189107157124798, + "fos_yielding": 3.4669640854919574, + "deflection": 0.016708312081140073, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3079": { + "node_id": "node_3079", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nPerformance:\n Mass: 163.14 kg\n Factor of Safety: 0.90\n Max Deflection: 1.30e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.1376127869891, + "fos_buckling": 0.8990533411972403, + "fos_yielding": 4.472778579012944, + "deflection": 0.013028359496504206, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.314)" + }, + "parent_node_id": "node_3078", + "improvement_over_parent": null + }, + "node_3080": { + "node_id": "node_3080", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 188.38 kg\n Factor of Safety: 1.02\n Max Deflection: 1.13e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.38151075341963, + "fos_buckling": 1.0153767819087247, + "fos_yielding": 5.164265698939492, + "deflection": 0.0113299234713139, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.170)" + }, + "parent_node_id": "node_3079", + "improvement_over_parent": null + }, + "node_3081": { + "node_id": "node_3081", + "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n Mass: 196.99 kg\n Factor of Safety: 1.15\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.99199978649352, + "fos_buckling": 1.154499174319882, + "fos_yielding": 5.164265698939492, + "deflection": 0.011859898597999248, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)" + }, + "parent_node_id": "node_3080", + "improvement_over_parent": null + }, + "node_3082": { + "node_id": "node_3082", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n Mass: 204.77 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.773648298746, + "fos_buckling": 1.5308771295445789, + "fos_yielding": 4.83869444998112, + "deflection": 0.011222552216810717, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004727)" + }, + "parent_node_id": "node_3081", + "improvement_over_parent": null + }, + "node_3083": { + "node_id": "node_3083", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3082", + "improvement_over_parent": null + }, + "node_3084": { + "node_id": "node_3084", + "content": "INITIAL DESIGN (Trace 442)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n\nPerformance:\n Mass: 136.58 kg\n Factor of Safety: 0.22\n Max Deflection: 8.12e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 136.58170477525405, + "fos_buckling": 0.22402874030577027, + "fos_yielding": 0.5060379581906256, + "deflection": 0.08117002149879103, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3085": { + "node_id": "node_3085", + "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n\nPerformance:\n Mass: 148.30 kg\n Factor of Safety: 0.27\n Max Deflection: 3.62e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 148.29799512088337, + "fos_buckling": 0.2727693529337964, + "fos_yielding": 1.6116919600186925, + "deflection": 0.03623900237525905, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.005383)" + }, + "parent_node_id": "node_3084", + "improvement_over_parent": null + }, + "node_3086": { + "node_id": "node_3086", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n\nPerformance:\n Mass: 157.93 kg\n Factor of Safety: 1.23\n Max Deflection: 1.45e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.93197475577276, + "fos_buckling": 1.2337300122114827, + "fos_yielding": 3.7363971429824807, + "deflection": 0.01445254033921299, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.004881)" + }, + "parent_node_id": "node_3085", + "improvement_over_parent": null + }, + "node_3087": { + "node_id": "node_3087", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.69561018777412, + "fos_buckling": 1.530365637055819, + "fos_yielding": 4.836678035526065, + "deflection": 0.011227111109257589, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.325)" + }, + "parent_node_id": "node_3086", + "improvement_over_parent": null + }, + "node_3088": { + "node_id": "node_3088", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3087", + "improvement_over_parent": null + }, + "node_3089": { + "node_id": "node_3089", + "content": "INITIAL DESIGN (Trace 443)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n Mass: 156.89 kg\n Factor of Safety: 0.58\n Max Deflection: 1.77e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 156.88823789462919, + "fos_buckling": 0.5809270118390566, + "fos_yielding": 3.9091067117288096, + "deflection": 0.017709054865244607, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3090": { + "node_id": "node_3090", + "content": "MODIFICATION: Increase 1 thickness by 34%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n Mass: 159.23 kg\n Factor of Safety: 0.58\n Max Deflection: 1.67e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.23341503304323, + "fos_buckling": 0.5808114472597001, + "fos_yielding": 3.9087107701840766, + "deflection": 0.016676487042735076, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.339)" + }, + "parent_node_id": "node_3089", + "improvement_over_parent": null + }, + "node_3091": { + "node_id": "node_3091", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 193.74 kg\n Factor of Safety: 0.68\n Max Deflection: 1.38e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.74371366795634, + "fos_buckling": 0.6824338132699139, + "fos_yielding": 4.751288502133561, + "deflection": 0.0137684283229999, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.238)" + }, + "parent_node_id": "node_3090", + "improvement_over_parent": null + }, + "node_3092": { + "node_id": "node_3092", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n\nPerformance:\n Mass: 204.76 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.75937054384332, + "fos_buckling": 1.5307468981029673, + "fos_yielding": 4.8381616423469325, + "deflection": 0.011223550363157721, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.005624)" + }, + "parent_node_id": "node_3091", + "improvement_over_parent": null + }, + "node_3093": { + "node_id": "node_3093", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3092", + "improvement_over_parent": null + }, + "node_3094": { + "node_id": "node_3094", + "content": "INITIAL DESIGN (Trace 444)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0028)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n\nPerformance:\n Mass: 160.29 kg\n Factor of Safety: 0.29\n Max Deflection: 3.32e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 160.29013814376995, + "fos_buckling": 0.29497254306725756, + "fos_yielding": 1.7659300703013832, + "deflection": 0.033187840173084085, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3095": { + "node_id": "node_3095", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 189.22 kg\n Factor of Safety: 0.34\n Max Deflection: 2.82e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.21770398705638, + "fos_buckling": 0.3372936655885271, + "fos_yielding": 2.0743720017324008, + "deflection": 0.028247583971819593, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.198)" + }, + "parent_node_id": "node_3094", + "improvement_over_parent": null + }, + "node_3096": { + "node_id": "node_3096", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n Mass: 201.71 kg\n Factor of Safety: 1.40\n Max Deflection: 1.14e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.70551106407314, + "fos_buckling": 1.395945398089773, + "fos_yielding": 4.778559176458036, + "deflection": 0.011449120038460247, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.006468)" + }, + "parent_node_id": "node_3095", + "improvement_over_parent": null + }, + "node_3097": { + "node_id": "node_3097", + "content": "MODIFICATION: Increase 0 thickness by 58%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n Mass: 204.67 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.6687445498845, + "fos_buckling": 1.5301957695953654, + "fos_yielding": 4.836004373560576, + "deflection": 0.011228328776618111, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.582)" + }, + "parent_node_id": "node_3096", + "improvement_over_parent": null + }, + "node_3098": { + "node_id": "node_3098", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3097", + "improvement_over_parent": null + }, + "node_3099": { + "node_id": "node_3099", + "content": "INITIAL DESIGN (Trace 445)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n Mass: 180.25 kg\n Factor of Safety: 0.28\n Max Deflection: 3.63e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.24806733114204, + "fos_buckling": 0.276718496100527, + "fos_yielding": 1.070523924292669, + "deflection": 0.03633322327467309, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3100": { + "node_id": "node_3100", + "content": "MODIFICATION: Increase 9 thickness by 37%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n Mass: 180.43 kg\n Factor of Safety: 0.28\n Max Deflection: 3.45e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.42854052877198, + "fos_buckling": 0.2767017672003018, + "fos_yielding": 1.336810471030224, + "deflection": 0.03454471038665589, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.370)" + }, + "parent_node_id": "node_3099", + "improvement_over_parent": null + }, + "node_3101": { + "node_id": "node_3101", + "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 195.61 kg\n Factor of Safety: 1.23\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.61309454367338, + "fos_buckling": 1.2255712867393616, + "fos_yielding": 4.8312070059757195, + "deflection": 0.011781073743984844, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)" + }, + "parent_node_id": "node_3100", + "improvement_over_parent": null + }, + "node_3102": { + "node_id": "node_3102", + "content": "MODIFICATION: Increase 16 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0080)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 199.52 kg\n Factor of Safety: 1.23\n Max Deflection: 1.20e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.5161650341096, + "fos_buckling": 1.2270209433152637, + "fos_yielding": 4.832088492491097, + "deflection": 0.011956407316177843, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.391)" + }, + "parent_node_id": "node_3101", + "improvement_over_parent": null + }, + "node_3103": { + "node_id": "node_3103", + "content": "MODIFICATION: Increase 20 thickness by 46%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0080)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0104)]\n\nPerformance:\n Mass: 205.62 kg\n Factor of Safety: 1.22\n Max Deflection: 1.13e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.62416009800674, + "fos_buckling": 1.2224615743410754, + "fos_yielding": 4.829158041845279, + "deflection": 0.011316717308899035, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(20, thickness, 1.464)" + }, + "parent_node_id": "node_3102", + "improvement_over_parent": null + }, + "node_3104": { + "node_id": "node_3104", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3103", + "improvement_over_parent": null + }, + "node_3105": { + "node_id": "node_3105", + "content": "INITIAL DESIGN (Trace 446)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (17 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0029)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0028)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n\nPerformance:\n Mass: 124.59 kg\n Factor of Safety: 0.09\n Max Deflection: 6.76e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 124.58599737557856, + "fos_buckling": 0.087154374331428, + "fos_yielding": 1.3147792170058101, + "deflection": 6763855643478.046, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3106": { + "node_id": "node_3106", + "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0029)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0028)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M17: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n\nPerformance:\n Mass: 127.02 kg\n Factor of Safety: 0.11\n Max Deflection: 8.01e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 127.020357663902, + "fos_buckling": 0.11143741892620308, + "fos_yielding": 1.681104402674921, + "deflection": 0.08008527625689008, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003188)" + }, + "parent_node_id": "node_3105", + "improvement_over_parent": null + }, + "node_3107": { + "node_id": "node_3107", + "content": "MODIFICATION: Increase 10 thickness by 43%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0029)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0066)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0028)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M17: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n\nPerformance:\n Mass: 130.83 kg\n Factor of Safety: 0.11\n Max Deflection: 7.96e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 130.83227225277267, + "fos_buckling": 0.11477489344850726, + "fos_yielding": 1.7314523303936744, + "deflection": 0.07963918140960055, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.431)" + }, + "parent_node_id": "node_3106", + "improvement_over_parent": null + }, + "node_3108": { + "node_id": "node_3108", + "content": "MODIFICATION: Increase 15 thickness by 56%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0029)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0066)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0028)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0059)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M17: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n\nPerformance:\n Mass: 134.21 kg\n Factor of Safety: 0.11\n Max Deflection: 7.67e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 134.2119437202144, + "fos_buckling": 0.11472993799132741, + "fos_yielding": 1.7307741487046373, + "deflection": 0.07670862695373153, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.562)" + }, + "parent_node_id": "node_3107", + "improvement_over_parent": null + }, + "node_3109": { + "node_id": "node_3109", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0029)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0066)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0028)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0059)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M17: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M18: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n\nPerformance:\n Mass: 134.77 kg\n Factor of Safety: 0.18\n Max Deflection: 4.73e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 134.7713312920019, + "fos_buckling": 0.1842864626314496, + "fos_yielding": 1.0968560605217212, + "deflection": 0.04728180970440532, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001528)" + }, + "parent_node_id": "node_3108", + "improvement_over_parent": null + }, + "node_3110": { + "node_id": "node_3110", + "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0029)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0066)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0028)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0059)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M17: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M18: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n\nPerformance:\n Mass: 146.64 kg\n Factor of Safety: 0.40\n Max Deflection: 2.45e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 146.63772706309854, + "fos_buckling": 0.3974844097192134, + "fos_yielding": 1.907337832258615, + "deflection": 0.024507110252241168, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.005457)" + }, + "parent_node_id": "node_3109", + "improvement_over_parent": null + }, + "node_3111": { + "node_id": "node_3111", + "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0029)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0066)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0028)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0059)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M17: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M18: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n Mass: 162.93 kg\n Factor of Safety: 1.00\n Max Deflection: 1.41e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.93040783415003, + "fos_buckling": 1.003864754151619, + "fos_yielding": 3.171203503073793, + "deflection": 0.014092610116208625, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.005920)" + }, + "parent_node_id": "node_3110", + "improvement_over_parent": null + }, + "node_3112": { + "node_id": "node_3112", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n M10: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0086)]\n M11: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M12: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0078)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M18: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M19: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 208.23 kg\n Factor of Safety: 1.26\n Max Deflection: 1.11e-02 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 208.23365470001215, + "fos_buckling": 1.255463621599081, + "fos_yielding": 4.07539216903382, + "deflection": 0.01108379338801431, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.307)" + }, + "parent_node_id": "node_3111", + "improvement_over_parent": null + }, + "node_3113": { + "node_id": "node_3113", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3112", + "improvement_over_parent": null + }, + "node_3114": { + "node_id": "node_3114", + "content": "INITIAL DESIGN (Trace 447)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0031)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n Mass: 140.12 kg\n Factor of Safety: 0.22\n Max Deflection: 1.62e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 140.12067328682645, + "fos_buckling": 0.21638507570127774, + "fos_yielding": 3.836246749382002, + "deflection": 0.01624685787104463, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3115": { + "node_id": "node_3115", + "content": "MODIFICATION: Increase 13 thickness by 51%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n Mass: 143.38 kg\n Factor of Safety: 0.21\n Max Deflection: 1.61e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 143.38030121680015, + "fos_buckling": 0.2124259510073572, + "fos_yielding": 3.885755028153753, + "deflection": 0.016109416107264084, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.511)" + }, + "parent_node_id": "node_3114", + "improvement_over_parent": null + }, + "node_3116": { + "node_id": "node_3116", + "content": "MODIFICATION: Increase 16 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n Mass: 144.63 kg\n Factor of Safety: 0.21\n Max Deflection: 1.61e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 144.62904575411002, + "fos_buckling": 0.2054043327295348, + "fos_yielding": 3.8873974363406263, + "deflection": 0.01608637831078036, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.176)" + }, + "parent_node_id": "node_3115", + "improvement_over_parent": null + }, + "node_3117": { + "node_id": "node_3117", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 179.40 kg\n Factor of Safety: 0.25\n Max Deflection: 1.30e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.4043459913658, + "fos_buckling": 0.24655238714657685, + "fos_yielding": 4.817360386669803, + "deflection": 0.013010222664836557, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.264)" + }, + "parent_node_id": "node_3116", + "improvement_over_parent": null + }, + "node_3118": { + "node_id": "node_3118", + "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n Mass: 193.29 kg\n Factor of Safety: 0.25\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.2892528669874, + "fos_buckling": 0.24626649716381196, + "fos_yielding": 4.8168511682716115, + "deflection": 0.011623005822361343, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)" + }, + "parent_node_id": "node_3117", + "improvement_over_parent": null + }, + "node_3119": { + "node_id": "node_3119", + "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n Mass: 204.72 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.71645303302702, + "fos_buckling": 1.5305130732611358, + "fos_yielding": 4.837325459035361, + "deflection": 0.011225770548978201, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.005728)" + }, + "parent_node_id": "node_3118", + "improvement_over_parent": null + }, + "node_3120": { + "node_id": "node_3120", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3119", + "improvement_over_parent": null + }, + "node_3121": { + "node_id": "node_3121", + "content": "INITIAL DESIGN (Trace 448)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0027)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0032)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0037)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0035)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0017)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0032)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0036)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0028)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0029)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0021)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0027)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0030)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0024)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0026)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0028)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0029)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0025)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0032)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0039)]\n\nPerformance:\n Mass: 106.95 kg\n Factor of Safety: 0.84\n Max Deflection: 2.11e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 106.95038056153793, + "fos_buckling": 0.8434312244480301, + "fos_yielding": 2.5555209959593572, + "deflection": 0.021138781452148914, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3122": { + "node_id": "node_3122", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0046)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0043)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0021)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n\nPerformance:\n Mass: 132.43 kg\n Factor of Safety: 1.02\n Max Deflection: 1.71e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 132.43380548017217, + "fos_buckling": 1.0203755991142511, + "fos_yielding": 3.1620989704893887, + "deflection": 0.01713592898502868, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.252)" + }, + "parent_node_id": "node_3121", + "improvement_over_parent": null + }, + "node_3123": { + "node_id": "node_3123", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0053)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0050)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0047)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0041)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0039)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0043)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0056)]\n\nPerformance:\n Mass: 150.30 kg\n Factor of Safety: 1.14\n Max Deflection: 1.51e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 150.30273035393543, + "fos_buckling": 1.1391547893397547, + "fos_yielding": 3.586886240685288, + "deflection": 0.015138714180841253, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.144)" + }, + "parent_node_id": "node_3122", + "improvement_over_parent": null + }, + "node_3124": { + "node_id": "node_3124", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n\nPerformance:\n Mass: 177.52 kg\n Factor of Safety: 1.31\n Max Deflection: 1.29e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.52442588532088, + "fos_buckling": 1.3118660339935588, + "fos_yielding": 4.233141939276556, + "deflection": 0.012868948206486134, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.196)" + }, + "parent_node_id": "node_3123", + "improvement_over_parent": null + }, + "node_3125": { + "node_id": "node_3125", + "content": "MODIFICATION: Increase 4 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n\nPerformance:\n Mass: 178.42 kg\n Factor of Safety: 1.37\n Max Deflection: 1.28e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.42313906204, + "fos_buckling": 1.3675271899942583, + "fos_yielding": 4.21889851849752, + "deflection": 0.012831013368866414, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.261)" + }, + "parent_node_id": "node_3124", + "improvement_over_parent": null + }, + "node_3126": { + "node_id": "node_3126", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.57 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.57222728876283, + "fos_buckling": 1.529629492676519, + "fos_yielding": 4.833817636049069, + "deflection": 0.01123361396916364, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.161)" + }, + "parent_node_id": "node_3125", + "improvement_over_parent": null + }, + "node_3127": { + "node_id": "node_3127", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3126", + "improvement_over_parent": null + }, + "node_3128": { + "node_id": "node_3128", + "content": "INITIAL DESIGN (Trace 449)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0030)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0042)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0039)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0019)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0037)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0032)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0032)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0030)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0030)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0033)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0022)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0044)]\n\nPerformance:\n Mass: 115.14 kg\n Factor of Safety: 0.84\n Max Deflection: 2.01e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 115.14451556565417, + "fos_buckling": 0.8355718178827103, + "fos_yielding": 2.869409080656142, + "deflection": 0.02010084186497995, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3129": { + "node_id": "node_3129", + "content": "MODIFICATION: Increase 4 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0030)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0042)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0039)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0037)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0032)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0032)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0030)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0030)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0033)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0022)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0044)]\n\nPerformance:\n Mass: 115.71 kg\n Factor of Safety: 0.84\n Max Deflection: 2.01e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 115.7108270878485, + "fos_buckling": 0.8353727959195681, + "fos_yielding": 2.8608133500941593, + "deflection": 0.020050463959401337, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.232)" + }, + "parent_node_id": "node_3128", + "improvement_over_parent": null + }, + "node_3130": { + "node_id": "node_3130", + "content": "MODIFICATION: Increase 6 thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0030)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0042)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0039)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0037)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0032)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0030)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0030)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0033)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0022)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0044)]\n\nPerformance:\n Mass: 117.62 kg\n Factor of Safety: 0.92\n Max Deflection: 1.91e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 117.6157013884842, + "fos_buckling": 0.9200915662683489, + "fos_yielding": 2.8594727713320873, + "deflection": 0.019092594100382082, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.284)" + }, + "parent_node_id": "node_3129", + "improvement_over_parent": null + }, + "node_3131": { + "node_id": "node_3131", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0025)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n\nPerformance:\n Mass: 134.05 kg\n Factor of Safety: 1.03\n Max Deflection: 1.68e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 134.04802133208813, + "fos_buckling": 1.0330801824418725, + "fos_yielding": 3.2570924186210792, + "deflection": 0.01679337744472761, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.148)" + }, + "parent_node_id": "node_3130", + "improvement_over_parent": null + }, + "node_3132": { + "node_id": "node_3132", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0031)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n Mass: 165.57 kg\n Factor of Safety: 1.24\n Max Deflection: 1.37e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.56516536506788, + "fos_buckling": 1.2392691335428827, + "fos_yielding": 4.018395803953185, + "deflection": 0.013660680552778174, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.253)" + }, + "parent_node_id": "node_3131", + "improvement_over_parent": null + }, + "node_3133": { + "node_id": "node_3133", + "content": "MODIFICATION: Increase 19 thickness by 65%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n Mass: 169.92 kg\n Factor of Safety: 1.31\n Max Deflection: 1.35e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.91661734603764, + "fos_buckling": 1.3126632829822475, + "fos_yielding": 4.018488288658967, + "deflection": 0.013456625763792496, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(19, thickness, 1.653)" + }, + "parent_node_id": "node_3132", + "improvement_over_parent": null + }, + "node_3134": { + "node_id": "node_3134", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.73 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.72881377861225, + "fos_buckling": 1.5305201187756583, + "fos_yielding": 4.837276806129764, + "deflection": 0.011225259372787108, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.225)" + }, + "parent_node_id": "node_3133", + "improvement_over_parent": null + }, + "node_3135": { + "node_id": "node_3135", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3134", + "improvement_over_parent": null + }, + "node_3136": { + "node_id": "node_3136", + "content": "INITIAL DESIGN (Trace 450)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0011)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0024)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0040)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0054)]\n\nPerformance:\n Mass: 138.77 kg\n Factor of Safety: 0.87\n Max Deflection: 1.67e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 138.7727389534559, + "fos_buckling": 0.8678128837713551, + "fos_yielding": 2.703636986635061, + "deflection": 0.016680359580632832, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3137": { + "node_id": "node_3137", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0030)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n Mass: 171.57 kg\n Factor of Safety: 1.05\n Max Deflection: 1.36e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.57336217981648, + "fos_buckling": 1.0473852790189824, + "fos_yielding": 3.355483590077585, + "deflection": 0.013559408180562867, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.256)" + }, + "parent_node_id": "node_3136", + "improvement_over_parent": null + }, + "node_3138": { + "node_id": "node_3138", + "content": "MODIFICATION: Increase 9 thickness by 60%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0030)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n Mass: 171.93 kg\n Factor of Safety: 1.05\n Max Deflection: 1.36e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.92715175157974, + "fos_buckling": 1.0472011783922477, + "fos_yielding": 3.3571330365254637, + "deflection": 0.013560553745072064, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.597)" + }, + "parent_node_id": "node_3137", + "improvement_over_parent": null + }, + "node_3139": { + "node_id": "node_3139", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0030)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n\nPerformance:\n Mass: 172.56 kg\n Factor of Safety: 1.05\n Max Deflection: 1.35e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.56013813638907, + "fos_buckling": 1.0469816726110666, + "fos_yielding": 3.35598390821493, + "deflection": 0.013513134715124114, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001746)" + }, + "parent_node_id": "node_3138", + "improvement_over_parent": null + }, + "node_3140": { + "node_id": "node_3140", + "content": "MODIFICATION: Increase 12 thickness by 54%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0030)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0081)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n\nPerformance:\n Mass: 177.83 kg\n Factor of Safety: 1.06\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.83133384401975, + "fos_buckling": 1.0566850359734494, + "fos_yielding": 3.355817062248548, + "deflection": 0.01307707688978195, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.541)" + }, + "parent_node_id": "node_3139", + "improvement_over_parent": null + }, + "node_3141": { + "node_id": "node_3141", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0092)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n Mass: 201.02 kg\n Factor of Safety: 1.18\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.023209832061, + "fos_buckling": 1.1825370738221392, + "fos_yielding": 3.806647082579274, + "deflection": 0.01160723833327553, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.144)" + }, + "parent_node_id": "node_3140", + "improvement_over_parent": null + }, + "node_3142": { + "node_id": "node_3142", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0092)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n Mass: 208.80 kg\n Factor of Safety: 1.18\n Max Deflection: 1.12e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 208.8048583443135, + "fos_buckling": 1.182714479824004, + "fos_yielding": 3.807218161536864, + "deflection": 0.011162670974296447, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004727)" + }, + "parent_node_id": "node_3141", + "improvement_over_parent": null + }, + "node_3143": { + "node_id": "node_3143", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3142", + "improvement_over_parent": null + }, + "node_3144": { + "node_id": "node_3144", + "content": "INITIAL DESIGN (Trace 451)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n\nPerformance:\n Mass: 148.77 kg\n Factor of Safety: 0.39\n Max Deflection: 1.60e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 148.772443299352, + "fos_buckling": 0.39186292796542604, + "fos_yielding": 3.489818977582178, + "deflection": 0.015970810498673244, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3145": { + "node_id": "node_3145", + "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n M18: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n\nPerformance:\n Mass: 158.40 kg\n Factor of Safety: 0.39\n Max Deflection: 1.77e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 158.39564752020746, + "fos_buckling": 0.3909224071724688, + "fos_yielding": 3.488166585947803, + "deflection": 0.017673153343240385, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004750)" + }, + "parent_node_id": "node_3144", + "improvement_over_parent": null + }, + "node_3146": { + "node_id": "node_3146", + "content": "MODIFICATION: Increase 14 thickness by 47%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n M18: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n\nPerformance:\n Mass: 161.22 kg\n Factor of Safety: 0.39\n Max Deflection: 1.74e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 161.2157935197393, + "fos_buckling": 0.390464669554207, + "fos_yielding": 3.487360080102966, + "deflection": 0.01736386621920075, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.471)" + }, + "parent_node_id": "node_3145", + "improvement_over_parent": null + }, + "node_3147": { + "node_id": "node_3147", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n M18: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n\nPerformance:\n Mass: 161.82 kg\n Factor of Safety: 0.39\n Max Deflection: 1.70e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 161.8185829966763, + "fos_buckling": 0.39038650589270657, + "fos_yielding": 3.487222208768197, + "deflection": 0.016967985390321738, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001656)" + }, + "parent_node_id": "node_3146", + "improvement_over_parent": null + }, + "node_3148": { + "node_id": "node_3148", + "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n M18: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n\nPerformance:\n Mass: 172.38 kg\n Factor of Safety: 1.33\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.37891966044361, + "fos_buckling": 1.328667486933136, + "fos_yielding": 4.076584395089146, + "deflection": 0.013269300647299762, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.004976)" + }, + "parent_node_id": "node_3147", + "improvement_over_parent": null + }, + "node_3149": { + "node_id": "node_3149", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 204.71 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.7099841343159, + "fos_buckling": 1.5304416766263669, + "fos_yielding": 4.8369891603913775, + "deflection": 0.01122636156365443, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.206)" + }, + "parent_node_id": "node_3148", + "improvement_over_parent": null + }, + "node_3150": { + "node_id": "node_3150", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3149", + "improvement_over_parent": null + }, + "node_3151": { + "node_id": "node_3151", + "content": "INITIAL DESIGN (Trace 452)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0028)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0034)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0039)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0037)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0022)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0034)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0032)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0030)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0030)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0022)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0029)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0032)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0025)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0028)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0030)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0030)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0026)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0034)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0041)]\n\nPerformance:\n Mass: 112.17 kg\n Factor of Safety: 0.84\n Max Deflection: 2.07e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 112.16772387816164, + "fos_buckling": 0.8393027839124989, + "fos_yielding": 2.6883361236036447, + "deflection": 0.020673200344543993, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3152": { + "node_id": "node_3152", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0045)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0042)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0040)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0037)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0035)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0037)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0029)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0032)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0035)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0048)]\n\nPerformance:\n Mass: 128.84 kg\n Factor of Safety: 0.95\n Max Deflection: 1.80e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 128.84348264249286, + "fos_buckling": 0.9518971085942997, + "fos_yielding": 3.0863776372186615, + "deflection": 0.018038055152251063, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.157)" + }, + "parent_node_id": "node_3151", + "improvement_over_parent": null + }, + "node_3153": { + "node_id": "node_3153", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n Mass: 163.28 kg\n Factor of Safety: 1.17\n Max Deflection: 1.43e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.27761672980165, + "fos_buckling": 1.1745275078419886, + "fos_yielding": 3.906943741196486, + "deflection": 0.014299710366878726, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.287)" + }, + "parent_node_id": "node_3152", + "improvement_over_parent": null + }, + "node_3154": { + "node_id": "node_3154", + "content": "MODIFICATION: Increase 6 thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n Mass: 165.12 kg\n Factor of Safety: 1.28\n Max Deflection: 1.38e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.116933445939, + "fos_buckling": 1.2813381206488217, + "fos_yielding": 3.905680646271289, + "deflection": 0.013838466174938828, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.190)" + }, + "parent_node_id": "node_3153", + "improvement_over_parent": null + }, + "node_3155": { + "node_id": "node_3155", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.67 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.66894220138994, + "fos_buckling": 1.530224630136963, + "fos_yielding": 4.836114922258962, + "deflection": 0.011228754074143404, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.263)" + }, + "parent_node_id": "node_3154", + "improvement_over_parent": null + }, + "node_3156": { + "node_id": "node_3156", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3155", + "improvement_over_parent": null + }, + "node_3157": { + "node_id": "node_3157", + "content": "INITIAL DESIGN (Trace 453)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0043)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0040)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0029)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n\nPerformance:\n Mass: 117.97 kg\n Factor of Safety: 0.35\n Max Deflection: 2.76e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 117.9668538526698, + "fos_buckling": 0.35231740884916823, + "fos_yielding": 2.3264333669869184, + "deflection": 0.02762325586510541, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3158": { + "node_id": "node_3158", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0033)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n\nPerformance:\n Mass: 135.48 kg\n Factor of Safety: 0.40\n Max Deflection: 2.41e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 135.47571219346634, + "fos_buckling": 0.3969967079413303, + "fos_yielding": 2.6687223413573884, + "deflection": 0.024097809214225347, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.159)" + }, + "parent_node_id": "node_3157", + "improvement_over_parent": null + }, + "node_3159": { + "node_id": "node_3159", + "content": "MODIFICATION: Increase 15 thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n\nPerformance:\n Mass: 137.33 kg\n Factor of Safety: 0.40\n Max Deflection: 2.40e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 137.32551679459712, + "fos_buckling": 0.396934225015899, + "fos_yielding": 2.6684966678274975, + "deflection": 0.024006412780089068, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.294)" + }, + "parent_node_id": "node_3158", + "improvement_over_parent": null + }, + "node_3160": { + "node_id": "node_3160", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n\nPerformance:\n Mass: 143.39 kg\n Factor of Safety: 0.40\n Max Deflection: 2.36e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 143.3897495611904, + "fos_buckling": 0.39686596803718, + "fos_yielding": 2.668250102208868, + "deflection": 0.02359397007672875, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003606)" + }, + "parent_node_id": "node_3159", + "improvement_over_parent": null + }, + "node_3161": { + "node_id": "node_3161", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n Mass: 184.01 kg\n Factor of Safety: 0.49\n Max Deflection: 1.85e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.011505041531, + "fos_buckling": 0.4880613874978347, + "fos_yielding": 3.416381751440538, + "deflection": 0.018456487075216847, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.311)" + }, + "parent_node_id": "node_3160", + "improvement_over_parent": null + }, + "node_3162": { + "node_id": "node_3162", + "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.86 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.8597165305095, + "fos_buckling": 1.5306932414899745, + "fos_yielding": 4.841091098167931, + "deflection": 0.011218056829491363, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.007737)" + }, + "parent_node_id": "node_3161", + "improvement_over_parent": null + }, + "node_3163": { + "node_id": "node_3163", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3162", + "improvement_over_parent": null + }, + "node_3164": { + "node_id": "node_3164", + "content": "INITIAL DESIGN (Trace 454)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0036)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0024)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0052)]\n\nPerformance:\n Mass: 117.97 kg\n Factor of Safety: 0.26\n Max Deflection: 2.13e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 117.96727335650688, + "fos_buckling": 0.2631888736218219, + "fos_yielding": 2.2671281559582677, + "deflection": 0.021282996720329732, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3165": { + "node_id": "node_3165", + "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0036)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0024)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0052)]\n M18: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n\nPerformance:\n Mass: 124.60 kg\n Factor of Safety: 0.81\n Max Deflection: 1.90e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 124.59557887904168, + "fos_buckling": 0.8079120558737909, + "fos_yielding": 2.2671281559582677, + "deflection": 0.019026304736645308, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.003537)" + }, + "parent_node_id": "node_3164", + "improvement_over_parent": null + }, + "node_3166": { + "node_id": "node_3166", + "content": "MODIFICATION: Increase 8 thickness by 62%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0036)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0052)]\n M18: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n\nPerformance:\n Mass: 126.10 kg\n Factor of Safety: 0.81\n Max Deflection: 1.90e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 126.09552802928181, + "fos_buckling": 0.8079120558737909, + "fos_yielding": 3.5966011447739294, + "deflection": 0.019026304736645308, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.623)" + }, + "parent_node_id": "node_3165", + "improvement_over_parent": null + }, + "node_3167": { + "node_id": "node_3167", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0036)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0052)]\n M18: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n\nPerformance:\n Mass: 131.52 kg\n Factor of Safety: 0.81\n Max Deflection: 1.81e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 131.5165303157063, + "fos_buckling": 0.8077877345459364, + "fos_yielding": 3.3703234989291233, + "deflection": 0.018092602731845497, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003199)" + }, + "parent_node_id": "node_3166", + "improvement_over_parent": null + }, + "node_3168": { + "node_id": "node_3168", + "content": "MODIFICATION: Increase 5 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0052)]\n M18: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n\nPerformance:\n Mass: 132.92 kg\n Factor of Safety: 0.81\n Max Deflection: 1.76e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 132.92295044473053, + "fos_buckling": 0.8076909995690054, + "fos_yielding": 3.373525421539807, + "deflection": 0.01762401183439927, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.205)" + }, + "parent_node_id": "node_3167", + "improvement_over_parent": null + }, + "node_3169": { + "node_id": "node_3169", + "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0052)]\n M18: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n\nPerformance:\n Mass: 142.60 kg\n Factor of Safety: 1.13\n Max Deflection: 1.60e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 142.59569445681038, + "fos_buckling": 1.1297004347823565, + "fos_yielding": 3.3745314206932298, + "deflection": 0.01597109752926846, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.004273)" + }, + "parent_node_id": "node_3168", + "improvement_over_parent": null + }, + "node_3170": { + "node_id": "node_3170", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n M18: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n\nPerformance:\n Mass: 159.22 kg\n Factor of Safety: 1.24\n Max Deflection: 1.43e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.22174929886472, + "fos_buckling": 1.2423398980411795, + "fos_yielding": 3.7663115376568426, + "deflection": 0.014338266281388888, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.125)" + }, + "parent_node_id": "node_3169", + "improvement_over_parent": null + }, + "node_3171": { + "node_id": "node_3171", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n Mass: 204.48 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.48388877380873, + "fos_buckling": 1.5291075126462612, + "fos_yielding": 4.831115956811874, + "deflection": 0.011238460287709898, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.312)" + }, + "parent_node_id": "node_3170", + "improvement_over_parent": null + }, + "node_3172": { + "node_id": "node_3172", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3171", + "improvement_over_parent": null + }, + "node_3173": { + "node_id": "node_3173", + "content": "INITIAL DESIGN (Trace 455)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0026)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0031)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0022)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0024)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0021)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0032)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0035)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0028)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0028)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0012)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0026)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0029)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0023)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0026)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0028)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0028)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0024)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0031)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0038)]\n\nPerformance:\n Mass: 98.13 kg\n Factor of Safety: 0.52\n Max Deflection: 2.88e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 98.13185213435915, + "fos_buckling": 0.5157194821017871, + "fos_yielding": 2.174652888265574, + "deflection": 0.028849084583611566, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3174": { + "node_id": "node_3174", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0027)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0029)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0039)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0034)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0036)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0029)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0032)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0035)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0047)]\n\nPerformance:\n Mass: 119.47 kg\n Factor of Safety: 0.62\n Max Deflection: 2.37e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 119.47070046361264, + "fos_buckling": 0.6164726406388988, + "fos_yielding": 2.6519383413913347, + "deflection": 0.023706384463213267, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.229)" + }, + "parent_node_id": "node_3173", + "improvement_over_parent": null + }, + "node_3175": { + "node_id": "node_3175", + "content": "MODIFICATION: Increase 2 thickness by 66%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0044)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0029)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0039)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0034)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0036)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0029)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0032)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0035)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0047)]\n\nPerformance:\n Mass: 123.33 kg\n Factor of Safety: 0.56\n Max Deflection: 2.12e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 123.3348798139335, + "fos_buckling": 0.5591849606446364, + "fos_yielding": 3.006493909560357, + "deflection": 0.02118546784074319, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.664)" + }, + "parent_node_id": "node_3174", + "improvement_over_parent": null + }, + "node_3176": { + "node_id": "node_3176", + "content": "MODIFICATION: Increase 3 thickness by 44%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0044)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0042)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0039)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0034)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0036)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0029)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0032)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0035)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0047)]\n\nPerformance:\n Mass: 125.93 kg\n Factor of Safety: 0.60\n Max Deflection: 1.97e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 125.9337435282419, + "fos_buckling": 0.5975758854361728, + "fos_yielding": 3.0381805816927536, + "deflection": 0.019725137192759555, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.437)" + }, + "parent_node_id": "node_3175", + "improvement_over_parent": null + }, + "node_3177": { + "node_id": "node_3177", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n\nPerformance:\n Mass: 155.68 kg\n Factor of Safety: 0.72\n Max Deflection: 1.60e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 155.68292968776842, + "fos_buckling": 0.7212527311877737, + "fos_yielding": 3.7528487460191173, + "deflection": 0.015997173217214278, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.253)" + }, + "parent_node_id": "node_3176", + "improvement_over_parent": null + }, + "node_3178": { + "node_id": "node_3178", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 201.50 kg\n Factor of Safety: 0.90\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.49862111902522, + "fos_buckling": 0.8985366795420096, + "fos_yielding": 4.851225764700427, + "deflection": 0.012408936791229301, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.323)" + }, + "parent_node_id": "node_3177", + "improvement_over_parent": null + }, + "node_3179": { + "node_id": "node_3179", + "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n Mass: 204.61 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.61399901874563, + "fos_buckling": 1.5299625222358488, + "fos_yielding": 4.834871566661474, + "deflection": 0.011231740486122884, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)" + }, + "parent_node_id": "node_3178", + "improvement_over_parent": null + }, + "node_3180": { + "node_id": "node_3180", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3179", + "improvement_over_parent": null + }, + "node_3181": { + "node_id": "node_3181", + "content": "INITIAL DESIGN (Trace 456)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0040)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 186.46 kg\n Factor of Safety: 1.09\n Max Deflection: 1.37e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 186.45758318618027, + "fos_buckling": 1.0941259225773419, + "fos_yielding": 4.855759884720896, + "deflection": 0.013743520086066404, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3182": { + "node_id": "node_3182", + "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0040)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n\nPerformance:\n Mass: 194.25 kg\n Factor of Safety: 1.14\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.25434039022568, + "fos_buckling": 1.1353884051748881, + "fos_yielding": 4.857087788955261, + "deflection": 0.012445011584224844, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.004560)" + }, + "parent_node_id": "node_3181", + "improvement_over_parent": null + }, + "node_3183": { + "node_id": "node_3183", + "content": "MODIFICATION: Increase 5 thickness by 61%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n\nPerformance:\n Mass: 198.72 kg\n Factor of Safety: 1.32\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.7183765881585, + "fos_buckling": 1.3189482175222076, + "fos_yielding": 4.868844150353966, + "deflection": 0.011513439807954561, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.610)" + }, + "parent_node_id": "node_3182", + "improvement_over_parent": null + }, + "node_3184": { + "node_id": "node_3184", + "content": "MODIFICATION: Increase 3 thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n\nPerformance:\n Mass: 201.28 kg\n Factor of Safety: 1.32\n Max Deflection: 1.13e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.28317138879893, + "fos_buckling": 1.317929206296145, + "fos_yielding": 4.868631940290847, + "deflection": 0.011344207575153694, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.242)" + }, + "parent_node_id": "node_3183", + "improvement_over_parent": null + }, + "node_3185": { + "node_id": "node_3185", + "content": "MODIFICATION: Increase 7 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0070)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n\nPerformance:\n Mass: 202.50 kg\n Factor of Safety: 1.22\n Max Deflection: 1.13e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.49827493873772, + "fos_buckling": 1.2247436581306579, + "fos_yielding": 5.60578100069584, + "deflection": 0.011299980675130416, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.235)" + }, + "parent_node_id": "node_3184", + "improvement_over_parent": null + }, + "node_3186": { + "node_id": "node_3186", + "content": "MODIFICATION: Increase 4 thickness by 54%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0070)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n\nPerformance:\n Mass: 204.24 kg\n Factor of Safety: 1.50\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.24450984645046, + "fos_buckling": 1.5025735982268364, + "fos_yielding": 5.605854227986671, + "deflection": 0.011230286688351496, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.538)" + }, + "parent_node_id": "node_3185", + "improvement_over_parent": null + }, + "node_3187": { + "node_id": "node_3187", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3186", + "improvement_over_parent": null + }, + "node_3188": { + "node_id": "node_3188", + "content": "INITIAL DESIGN (Trace 457)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n\nPerformance:\n Mass: 153.60 kg\n Factor of Safety: 0.42\n Max Deflection: 2.19e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 153.59890847149669, + "fos_buckling": 0.42284893830099723, + "fos_yielding": 2.8740824365607165, + "deflection": 0.021919120966510768, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3189": { + "node_id": "node_3189", + "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n\nPerformance:\n Mass: 171.12 kg\n Factor of Safety: 1.15\n Max Deflection: 1.32e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.12295375833313, + "fos_buckling": 1.153351771075103, + "fos_yielding": 4.00460080072041, + "deflection": 0.01324575866733952, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.006403)" + }, + "parent_node_id": "node_3188", + "improvement_over_parent": null + }, + "node_3190": { + "node_id": "node_3190", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 203.53 kg\n Factor of Safety: 1.32\n Max Deflection: 1.12e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.53141409197988, + "fos_buckling": 1.3216825259004474, + "fos_yielding": 4.758671295615116, + "deflection": 0.011190421789213888, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.208)" + }, + "parent_node_id": "node_3189", + "improvement_over_parent": null + }, + "node_3191": { + "node_id": "node_3191", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n\nPerformance:\n Mass: 204.66 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.6580619122665, + "fos_buckling": 1.5301508718145236, + "fos_yielding": 4.835792264125487, + "deflection": 0.011229099087194072, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002506)" + }, + "parent_node_id": "node_3190", + "improvement_over_parent": null + }, + "node_3192": { + "node_id": "node_3192", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3191", + "improvement_over_parent": null + }, + "node_3193": { + "node_id": "node_3193", + "content": "INITIAL DESIGN (Trace 458)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0031)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n\nPerformance:\n Mass: 122.38 kg\n Factor of Safety: 0.26\n Max Deflection: 2.16e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 122.38109075005752, + "fos_buckling": 0.25552350368844423, + "fos_yielding": 3.0237368963192637, + "deflection": 0.02162067727847764, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3194": { + "node_id": "node_3194", + "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0031)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n\nPerformance:\n Mass: 128.76 kg\n Factor of Safety: 0.32\n Max Deflection: 1.90e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 128.75945550759965, + "fos_buckling": 0.3152786123966499, + "fos_yielding": 3.3092572786997647, + "deflection": 0.01902159801717061, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.003679)" + }, + "parent_node_id": "node_3193", + "improvement_over_parent": null + }, + "node_3195": { + "node_id": "node_3195", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0042)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n\nPerformance:\n Mass: 167.00 kg\n Factor of Safety: 0.39\n Max Deflection: 1.47e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.99962255512008, + "fos_buckling": 0.39288512906575757, + "fos_yielding": 4.28655379534962, + "deflection": 0.014742868703726443, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.321)" + }, + "parent_node_id": "node_3194", + "improvement_over_parent": null + }, + "node_3196": { + "node_id": "node_3196", + "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0042)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n\nPerformance:\n Mass: 175.32 kg\n Factor of Safety: 1.33\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.31918115487866, + "fos_buckling": 1.334478068748122, + "fos_yielding": 4.229588350667388, + "deflection": 0.013127922647336544, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.004514)" + }, + "parent_node_id": "node_3195", + "improvement_over_parent": null + }, + "node_3197": { + "node_id": "node_3197", + "content": "MODIFICATION: Increase 3 thickness by 43%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0052)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n\nPerformance:\n Mass: 178.87 kg\n Factor of Safety: 1.37\n Max Deflection: 1.28e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.86507650481485, + "fos_buckling": 1.3704433659323285, + "fos_yielding": 4.22925237686857, + "deflection": 0.01280041720413961, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.433)" + }, + "parent_node_id": "node_3196", + "improvement_over_parent": null + }, + "node_3198": { + "node_id": "node_3198", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n Mass: 204.43 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.42907071944094, + "fos_buckling": 1.5288743837740832, + "fos_yielding": 4.830401693218046, + "deflection": 0.011241490096306105, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.157)" + }, + "parent_node_id": "node_3197", + "improvement_over_parent": null + }, + "node_3199": { + "node_id": "node_3199", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3198", + "improvement_over_parent": null + }, + "node_3200": { + "node_id": "node_3200", + "content": "INITIAL DESIGN (Trace 459)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0030)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0041)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0039)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0036)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0032)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0023)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0030)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0029)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0032)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0043)]\n\nPerformance:\n Mass: 119.40 kg\n Factor of Safety: 0.97\n Max Deflection: 1.90e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 119.39800763591148, + "fos_buckling": 0.9659296326922766, + "fos_yielding": 2.827667697765207, + "deflection": 0.01900901001333147, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3201": { + "node_id": "node_3201", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n Mass: 144.54 kg\n Factor of Safety: 1.14\n Max Deflection: 1.58e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 144.53802209471357, + "fos_buckling": 1.1430494094347843, + "fos_yielding": 3.420742659295642, + "deflection": 0.01576081097171893, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.224)" + }, + "parent_node_id": "node_3200", + "improvement_over_parent": null + }, + "node_3202": { + "node_id": "node_3202", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n Mass: 165.37 kg\n Factor of Safety: 1.28\n Max Deflection: 1.38e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.37119807859565, + "fos_buckling": 1.2829901043466108, + "fos_yielding": 3.911609735213619, + "deflection": 0.013817376953870416, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.155)" + }, + "parent_node_id": "node_3201", + "improvement_over_parent": null + }, + "node_3203": { + "node_id": "node_3203", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.68 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.68215031159514, + "fos_buckling": 1.530282978257036, + "fos_yielding": 4.836354403042815, + "deflection": 0.01122779286301517, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.261)" + }, + "parent_node_id": "node_3202", + "improvement_over_parent": null + }, + "node_3204": { + "node_id": "node_3204", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3203", + "improvement_over_parent": null + }, + "node_3205": { + "node_id": "node_3205", + "content": "INITIAL DESIGN (Trace 460)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0026)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0030)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0035)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0033)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0020)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0031)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0034)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0027)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0027)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0012)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0020)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0026)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0029)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0025)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0027)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0024)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0030)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0037)]\n\nPerformance:\n Mass: 93.16 kg\n Factor of Safety: 0.38\n Max Deflection: 2.92e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 93.16411468585369, + "fos_buckling": 0.3760189326314672, + "fos_yielding": 2.0770884509051095, + "deflection": 0.0292488447015223, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3206": { + "node_id": "node_3206", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0026)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0030)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0035)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0033)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0020)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0031)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0034)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0027)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0027)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0012)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0020)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0026)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0029)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0025)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0027)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0024)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0030)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0037)]\n M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0027)]\n\nPerformance:\n Mass: 98.68 kg\n Factor of Safety: 0.64\n Max Deflection: 2.33e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 98.68484233702237, + "fos_buckling": 0.6445045198733825, + "fos_yielding": 2.588190775951368, + "deflection": 0.023310557331273636, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.002691)" + }, + "parent_node_id": "node_3205", + "improvement_over_parent": null + }, + "node_3207": { + "node_id": "node_3207", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0046)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0043)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0040)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0035)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0037)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0048)]\n M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n\nPerformance:\n Mass: 126.88 kg\n Factor of Safety: 0.80\n Max Deflection: 1.82e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 126.87627238675863, + "fos_buckling": 0.8038416521582127, + "fos_yielding": 3.327129172818823, + "deflection": 0.018212338174582104, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.302)" + }, + "parent_node_id": "node_3206", + "improvement_over_parent": null + }, + "node_3208": { + "node_id": "node_3208", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n\nPerformance:\n Mass: 151.87 kg\n Factor of Safety: 0.94\n Max Deflection: 1.53e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 151.87202862662255, + "fos_buckling": 0.9362210854085629, + "fos_yielding": 3.9821433088817297, + "deflection": 0.015275092090867975, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.211)" + }, + "parent_node_id": "node_3207", + "improvement_over_parent": null + }, + "node_3209": { + "node_id": "node_3209", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n\nPerformance:\n Mass: 157.87 kg\n Factor of Safety: 1.23\n Max Deflection: 1.45e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.867228671636, + "fos_buckling": 1.2333304033789043, + "fos_yielding": 3.7350562172635167, + "deflection": 0.014457989134242821, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003562)" + }, + "parent_node_id": "node_3208", + "improvement_over_parent": null + }, + "node_3210": { + "node_id": "node_3210", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n Mass: 204.75 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.75421370423314, + "fos_buckling": 1.5307552096069585, + "fos_yielding": 4.838289777959908, + "deflection": 0.011223738113563269, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.326)" + }, + "parent_node_id": "node_3209", + "improvement_over_parent": null + }, + "node_3211": { + "node_id": "node_3211", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3210", + "improvement_over_parent": null + }, + "node_3212": { + "node_id": "node_3212", + "content": "INITIAL DESIGN (Trace 461)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0038)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0020)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n Mass: 139.72 kg\n Factor of Safety: 0.78\n Max Deflection: 1.53e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 139.718156453089, + "fos_buckling": 0.7767804343019052, + "fos_yielding": 3.394224576574126, + "deflection": 0.015339285017960827, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3213": { + "node_id": "node_3213", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0025)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n\nPerformance:\n Mass: 169.51 kg\n Factor of Safety: 0.94\n Max Deflection: 1.27e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.51005865857525, + "fos_buckling": 0.935397724688907, + "fos_yielding": 4.1138333016727975, + "deflection": 0.012706395857904907, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.230)" + }, + "parent_node_id": "node_3212", + "improvement_over_parent": null + }, + "node_3214": { + "node_id": "node_3214", + "content": "MODIFICATION: Increase 17 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0031)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n\nPerformance:\n Mass: 170.78 kg\n Factor of Safety: 1.06\n Max Deflection: 1.28e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.77631129504454, + "fos_buckling": 1.0610276874204312, + "fos_yielding": 4.114926323877556, + "deflection": 0.012807172752034664, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.258)" + }, + "parent_node_id": "node_3213", + "improvement_over_parent": null + }, + "node_3215": { + "node_id": "node_3215", + "content": "MODIFICATION: Increase 17 thickness by 56%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n\nPerformance:\n Mass: 174.08 kg\n Factor of Safety: 1.34\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.07583093892725, + "fos_buckling": 1.3396597970942978, + "fos_yielding": 4.116650774555753, + "deflection": 0.013142458180820807, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.555)" + }, + "parent_node_id": "node_3214", + "improvement_over_parent": null + }, + "node_3216": { + "node_id": "node_3216", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.51 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.50717192469438, + "fos_buckling": 1.5292591454761788, + "fos_yielding": 4.832365579864044, + "deflection": 0.011236536232679088, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.192)" + }, + "parent_node_id": "node_3215", + "improvement_over_parent": null + }, + "node_3217": { + "node_id": "node_3217", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3216", + "improvement_over_parent": null + }, + "node_3218": { + "node_id": "node_3218", + "content": "INITIAL DESIGN (Trace 462)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0040)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0039)]\n\nPerformance:\n Mass: 139.46 kg\n Factor of Safety: 0.91\n Max Deflection: 1.63e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 139.4568679272249, + "fos_buckling": 0.9093090261743059, + "fos_yielding": 3.4432505976039507, + "deflection": 0.01625207348165033, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3219": { + "node_id": "node_3219", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0046)]\n\nPerformance:\n Mass: 163.20 kg\n Factor of Safety: 1.05\n Max Deflection: 1.39e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.1978122946498, + "fos_buckling": 1.0484748100404357, + "fos_yielding": 4.025157128472002, + "deflection": 0.013935608477378979, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.183)" + }, + "parent_node_id": "node_3218", + "improvement_over_parent": null + }, + "node_3220": { + "node_id": "node_3220", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0057)]\n\nPerformance:\n Mass: 196.31 kg\n Factor of Safety: 1.23\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.30671435717602, + "fos_buckling": 1.2349415054923538, + "fos_yielding": 4.83446532085255, + "deflection": 0.01164063221342347, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.222)" + }, + "parent_node_id": "node_3219", + "improvement_over_parent": null + }, + "node_3221": { + "node_id": "node_3221", + "content": "MODIFICATION: Increase 20 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 201.46 kg\n Factor of Safety: 1.48\n Max Deflection: 1.13e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.4631180104161, + "fos_buckling": 1.483976943615014, + "fos_yielding": 4.834029608594139, + "deflection": 0.011320555702737371, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(20, thickness, 1.361)" + }, + "parent_node_id": "node_3220", + "improvement_over_parent": null + }, + "node_3222": { + "node_id": "node_3222", + "content": "MODIFICATION: Increase 19 thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.58 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.58087752217966, + "fos_buckling": 1.5294631532220315, + "fos_yielding": 4.834056820613797, + "deflection": 0.011233207085239226, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(19, thickness, 1.318)" + }, + "parent_node_id": "node_3221", + "improvement_over_parent": null + }, + "node_3223": { + "node_id": "node_3223", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3222", + "improvement_over_parent": null + }, + "node_3224": { + "node_id": "node_3224", + "content": "INITIAL DESIGN (Trace 463)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (17 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n Mass: 142.73 kg\n Factor of Safety: 0.03\n Max Deflection: 1.37e+14 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 142.73223033820437, + "fos_buckling": 0.032138909621100394, + "fos_yielding": 0.305716428870757, + "deflection": 137360274361762.98, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3225": { + "node_id": "node_3225", + "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 163.58 kg\n Factor of Safety: 0.24\n Max Deflection: 1.59e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.58044182718288, + "fos_buckling": 0.24484259458523158, + "fos_yielding": 1.9721688255087158, + "deflection": 15899345979136.36, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.007737)" + }, + "parent_node_id": "node_3224", + "improvement_over_parent": null + }, + "node_3226": { + "node_id": "node_3226", + "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 178.76 kg\n Factor of Safety: 0.22\n Max Deflection: 1.27e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.7649958420843, + "fos_buckling": 0.2247951628688949, + "fos_yielding": 5.162258209849386, + "deflection": 0.012704280058416947, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)" + }, + "parent_node_id": "node_3225", + "improvement_over_parent": null + }, + "node_3227": { + "node_id": "node_3227", + "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n Mass: 190.19 kg\n Factor of Safety: 1.00\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.19219600812391, + "fos_buckling": 0.9959368750423045, + "fos_yielding": 5.162258209849386, + "deflection": 0.012445393145445727, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.005728)" + }, + "parent_node_id": "node_3226", + "improvement_over_parent": null + }, + "node_3228": { + "node_id": "node_3228", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n Mass: 197.97 kg\n Factor of Safety: 1.41\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.9738445203764, + "fos_buckling": 1.4053538773967997, + "fos_yielding": 4.809512810232109, + "deflection": 0.01168029016740812, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004727)" + }, + "parent_node_id": "node_3227", + "improvement_over_parent": null + }, + "node_3229": { + "node_id": "node_3229", + "content": "MODIFICATION: Increase 3 thickness by 54%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n Mass: 202.67 kg\n Factor of Safety: 1.41\n Max Deflection: 1.13e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.6668182774541, + "fos_buckling": 1.4054328204943034, + "fos_yielding": 4.80903881635273, + "deflection": 0.01133199446362811, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.541)" + }, + "parent_node_id": "node_3228", + "improvement_over_parent": null + }, + "node_3230": { + "node_id": "node_3230", + "content": "MODIFICATION: Increase 13 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0063)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n Mass: 204.48 kg\n Factor of Safety: 1.41\n Max Deflection: 1.13e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.4784744414493, + "fos_buckling": 1.4092617068591007, + "fos_yielding": 4.8060726516414745, + "deflection": 0.01130474511239622, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.214)" + }, + "parent_node_id": "node_3229", + "improvement_over_parent": null + }, + "node_3231": { + "node_id": "node_3231", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3230", + "improvement_over_parent": null + }, + "node_3232": { + "node_id": "node_3232", + "content": "INITIAL DESIGN (Trace 464)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0039)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nPerformance:\n Mass: 149.10 kg\n Factor of Safety: 0.40\n Max Deflection: 1.79e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 149.09536244650076, + "fos_buckling": 0.4014823830269831, + "fos_yielding": 3.598462355476855, + "deflection": 0.017872549382712963, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3233": { + "node_id": "node_3233", + "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0039)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n\nPerformance:\n Mass: 161.16 kg\n Factor of Safety: 0.40\n Max Deflection: 1.76e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 161.15744269322383, + "fos_buckling": 0.4010800939327019, + "fos_yielding": 3.5977506076702563, + "deflection": 0.017579966469657874, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.005415)" + }, + "parent_node_id": "node_3232", + "improvement_over_parent": null + }, + "node_3234": { + "node_id": "node_3234", + "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0039)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0041)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n\nPerformance:\n Mass: 163.86 kg\n Factor of Safety: 0.40\n Max Deflection: 1.71e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.86334946512756, + "fos_buckling": 0.40089986343326384, + "fos_yielding": 3.59743136399483, + "deflection": 0.017129317831058095, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003573)" + }, + "parent_node_id": "node_3233", + "improvement_over_parent": null + }, + "node_3235": { + "node_id": "node_3235", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n Mass: 188.66 kg\n Factor of Safety: 0.45\n Max Deflection: 1.49e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.659965011474, + "fos_buckling": 0.4483564603069445, + "fos_yielding": 4.135876185642358, + "deflection": 0.014930659924478722, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.166)" + }, + "parent_node_id": "node_3234", + "improvement_over_parent": null + }, + "node_3236": { + "node_id": "node_3236", + "content": "MODIFICATION: Increase 5 thickness by 43%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n Mass: 192.16 kg\n Factor of Safety: 0.45\n Max Deflection: 1.44e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.1588316595021, + "fos_buckling": 0.4477096423478901, + "fos_yielding": 4.13469164475788, + "deflection": 0.014357281058742163, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.427)" + }, + "parent_node_id": "node_3235", + "improvement_over_parent": null + }, + "node_3237": { + "node_id": "node_3237", + "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.6978239994714, + "fos_buckling": 1.530369977269087, + "fos_yielding": 4.836698530119448, + "deflection": 0.011226868206178466, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)" + }, + "parent_node_id": "node_3236", + "improvement_over_parent": null + }, + "node_3238": { + "node_id": "node_3238", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3237", + "improvement_over_parent": null + }, + "node_3239": { + "node_id": "node_3239", + "content": "INITIAL DESIGN (Trace 465)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 194.95 kg\n Factor of Safety: 0.34\n Max Deflection: 1.28e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.94949277417493, + "fos_buckling": 0.3401039380082318, + "fos_yielding": 4.902598249750784, + "deflection": 0.012848822359251234, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3240": { + "node_id": "node_3240", + "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n Mass: 204.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.46515059117527, + "fos_buckling": 1.5301189199404124, + "fos_yielding": 4.837462395694082, + "deflection": 0.011245104267035544, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.005227)" + }, + "parent_node_id": "node_3239", + "improvement_over_parent": null + }, + "node_3241": { + "node_id": "node_3241", + "content": "MODIFICATION: Increase 10 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n Mass: 204.56 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.56218973924905, + "fos_buckling": 1.5302496687958476, + "fos_yielding": 4.837148987983293, + "deflection": 0.01123650370962143, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.217)" + }, + "parent_node_id": "node_3240", + "improvement_over_parent": null + }, + "node_3242": { + "node_id": "node_3242", + "content": "MODIFICATION: Increase 10 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70109751192308, + "fos_buckling": 1.5303947573517478, + "fos_yielding": 4.836787277531071, + "deflection": 0.011226770309149007, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.264)" + }, + "parent_node_id": "node_3241", + "improvement_over_parent": null + }, + "node_3243": { + "node_id": "node_3243", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3242", + "improvement_over_parent": null + }, + "node_3244": { + "node_id": "node_3244", + "content": "INITIAL DESIGN (Trace 466)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0030)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0044)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0039)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0034)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0027)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0028)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0034)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0025)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0046)]\n\nPerformance:\n Mass: 120.56 kg\n Factor of Safety: 0.86\n Max Deflection: 1.89e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 120.55866429369709, + "fos_buckling": 0.8611202651441721, + "fos_yielding": 2.9752200706657, + "deflection": 0.01888215499085563, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3245": { + "node_id": "node_3245", + "content": "MODIFICATION: Increase 19 thickness by 53%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0030)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0044)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0039)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0034)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0027)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0028)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0034)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0046)]\n\nPerformance:\n Mass: 123.43 kg\n Factor of Safety: 0.86\n Max Deflection: 1.86e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 123.43196969322193, + "fos_buckling": 0.8607147807645109, + "fos_yielding": 2.975279391526804, + "deflection": 0.01864947254528357, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(19, thickness, 1.529)" + }, + "parent_node_id": "node_3244", + "improvement_over_parent": null + }, + "node_3246": { + "node_id": "node_3246", + "content": "MODIFICATION: Increase 1 thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0044)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0039)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0034)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0027)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0028)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0034)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0046)]\n\nPerformance:\n Mass: 124.79 kg\n Factor of Safety: 0.87\n Max Deflection: 1.82e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 124.79337963910429, + "fos_buckling": 0.8659504899298229, + "fos_yielding": 2.9720464823053923, + "deflection": 0.01821082708121501, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.239)" + }, + "parent_node_id": "node_3245", + "improvement_over_parent": null + }, + "node_3247": { + "node_id": "node_3247", + "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0049)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0046)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0043)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0030)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n\nPerformance:\n Mass: 137.97 kg\n Factor of Safety: 0.95\n Max Deflection: 1.65e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 137.96653057838256, + "fos_buckling": 0.948173240752987, + "fos_yielding": 3.284485416290176, + "deflection": 0.016503947053297566, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.112)" + }, + "parent_node_id": "node_3246", + "improvement_over_parent": null + }, + "node_3248": { + "node_id": "node_3248", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n Mass: 157.92 kg\n Factor of Safety: 1.07\n Max Deflection: 1.45e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.92278273308034, + "fos_buckling": 1.069452539615435, + "fos_yielding": 3.757335967847305, + "deflection": 0.014460598931721858, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.155)" + }, + "parent_node_id": "node_3247", + "improvement_over_parent": null + }, + "node_3249": { + "node_id": "node_3249", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 201.71 kg\n Factor of Safety: 1.32\n Max Deflection: 1.14e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.7114299342287, + "fos_buckling": 1.3218198312785663, + "fos_yielding": 4.792897974797948, + "deflection": 0.011393866839918061, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.304)" + }, + "parent_node_id": "node_3248", + "improvement_over_parent": null + }, + "node_3250": { + "node_id": "node_3250", + "content": "MODIFICATION: Increase 13 thickness by 34%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70316590117602, + "fos_buckling": 1.5304936387048076, + "fos_yielding": 4.836704703233158, + "deflection": 0.011226983264292358, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.344)" + }, + "parent_node_id": "node_3249", + "improvement_over_parent": null + }, + "node_3251": { + "node_id": "node_3251", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3250", + "improvement_over_parent": null + }, + "node_3252": { + "node_id": "node_3252", + "content": "INITIAL DESIGN (Trace 467)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (17 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n Mass: 135.61 kg\n Factor of Safety: 0.04\n Max Deflection: 3.22e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 135.61437811183222, + "fos_buckling": 0.03720110377558618, + "fos_yielding": 0.5634768072882045, + "deflection": 32226185145423.434, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3253": { + "node_id": "node_3253", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n M17: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n\nPerformance:\n Mass: 144.48 kg\n Factor of Safety: 0.22\n Max Deflection: 1.94e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 144.47925182852063, + "fos_buckling": 0.21830786734820778, + "fos_yielding": 3.3066604916167353, + "deflection": 0.01936208626014476, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.004441)" + }, + "parent_node_id": "node_3252", + "improvement_over_parent": null + }, + "node_3254": { + "node_id": "node_3254", + "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n M17: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n\nPerformance:\n Mass: 146.99 kg\n Factor of Safety: 0.22\n Max Deflection: 2.02e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 146.98602518672695, + "fos_buckling": 0.21821583676467177, + "fos_yielding": 3.30526652492971, + "deflection": 0.02016513007637822, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003290)" + }, + "parent_node_id": "node_3253", + "improvement_over_parent": null + }, + "node_3255": { + "node_id": "node_3255", + "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n M17: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M19: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n\nPerformance:\n Mass: 154.64 kg\n Factor of Safety: 0.38\n Max Deflection: 1.77e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 154.64461465198897, + "fos_buckling": 0.37612337303852394, + "fos_yielding": 3.3338186586508773, + "deflection": 0.017734973789173086, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.004128)" + }, + "parent_node_id": "node_3254", + "improvement_over_parent": null + }, + "node_3256": { + "node_id": "node_3256", + "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n M17: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M19: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n\nPerformance:\n Mass: 164.74 kg\n Factor of Safety: 1.28\n Max Deflection: 1.39e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.73555852082495, + "fos_buckling": 1.2788046630258476, + "fos_yielding": 3.8966233369702987, + "deflection": 0.013869427092931524, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.004738)" + }, + "parent_node_id": "node_3255", + "improvement_over_parent": null + }, + "node_3257": { + "node_id": "node_3257", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M14: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M15: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M17: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M19: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 204.65 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.64747836615803, + "fos_buckling": 1.530066431494889, + "fos_yielding": 4.835518067266897, + "deflection": 0.011229657821579806, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.266)" + }, + "parent_node_id": "node_3256", + "improvement_over_parent": null + }, + "node_3258": { + "node_id": "node_3258", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3257", + "improvement_over_parent": null + }, + "node_3259": { + "node_id": "node_3259", + "content": "INITIAL DESIGN (Trace 468)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0032)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0029)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0054)]\n\nPerformance:\n Mass: 125.44 kg\n Factor of Safety: 0.15\n Max Deflection: 2.00e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 125.44412895796664, + "fos_buckling": 0.14685502202188208, + "fos_yielding": 3.1868746583946237, + "deflection": 0.019963815732566156, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3260": { + "node_id": "node_3260", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0036)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0033)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n\nPerformance:\n Mass: 140.54 kg\n Factor of Safety: 0.16\n Max Deflection: 1.78e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 140.53520789557726, + "fos_buckling": 0.16204543755926246, + "fos_yielding": 3.5755367708664143, + "deflection": 0.0178350757835805, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.129)" + }, + "parent_node_id": "node_3259", + "improvement_over_parent": null + }, + "node_3261": { + "node_id": "node_3261", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0036)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0033)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n M18: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n\nPerformance:\n Mass: 141.44 kg\n Factor of Safety: 0.22\n Max Deflection: 1.77e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 141.4410882646032, + "fos_buckling": 0.2191811612188071, + "fos_yielding": 3.5753529083870514, + "deflection": 0.017694995633263735, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.001977)" + }, + "parent_node_id": "node_3260", + "improvement_over_parent": null + }, + "node_3262": { + "node_id": "node_3262", + "content": "MODIFICATION: Increase 15 thickness by 35%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0036)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0033)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0053)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n M18: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n\nPerformance:\n Mass: 143.65 kg\n Factor of Safety: 0.22\n Max Deflection: 1.74e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 143.65266210801457, + "fos_buckling": 0.2190596908134719, + "fos_yielding": 3.5742311350781346, + "deflection": 0.017447634048395513, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.353)" + }, + "parent_node_id": "node_3261", + "improvement_over_parent": null + }, + "node_3263": { + "node_id": "node_3263", + "content": "MODIFICATION: Increase 6 thickness by 56%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0033)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0053)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n M18: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n\nPerformance:\n Mass: 147.83 kg\n Factor of Safety: 0.22\n Max Deflection: 1.59e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 147.83047774276307, + "fos_buckling": 0.21883059185323445, + "fos_yielding": 3.8736595569423695, + "deflection": 0.015928433997060766, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.558)" + }, + "parent_node_id": "node_3262", + "improvement_over_parent": null + }, + "node_3264": { + "node_id": "node_3264", + "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0033)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0053)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n M18: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n\nPerformance:\n Mass: 157.02 kg\n Factor of Safety: 0.91\n Max Deflection: 1.56e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.02063231194998, + "fos_buckling": 0.9131941430791616, + "fos_yielding": 3.886760377835312, + "deflection": 0.015579167920210012, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004520)" + }, + "parent_node_id": "node_3263", + "improvement_over_parent": null + }, + "node_3265": { + "node_id": "node_3265", + "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0058)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0033)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0053)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0050)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0061)]\n M18: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n\nPerformance:\n Mass: 164.63 kg\n Factor of Safety: 1.25\n Max Deflection: 1.41e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.63303991825518, + "fos_buckling": 1.245642710954241, + "fos_yielding": 3.8879875599677733, + "deflection": 0.014143953914518422, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.004444)" + }, + "parent_node_id": "node_3264", + "improvement_over_parent": null + }, + "node_3266": { + "node_id": "node_3266", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0067)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M19: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n Mass: 204.63 kg\n Factor of Safety: 1.49\n Max Deflection: 1.14e-02 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.629563909134, + "fos_buckling": 1.4929479830690926, + "fos_yielding": 4.828488592874516, + "deflection": 0.011438276432950319, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.267)" + }, + "parent_node_id": "node_3265", + "improvement_over_parent": null + }, + "node_3267": { + "node_id": "node_3267", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3266", + "improvement_over_parent": null + }, + "node_3268": { + "node_id": "node_3268", + "content": "INITIAL DESIGN (Trace 469)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0024)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n Mass: 141.63 kg\n Factor of Safety: 0.82\n Max Deflection: 1.61e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 141.62614518444803, + "fos_buckling": 0.8207032267607997, + "fos_yielding": 3.8020759959670136, + "deflection": 0.01608006137475404, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3269": { + "node_id": "node_3269", + "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0024)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n\nPerformance:\n Mass: 148.34 kg\n Factor of Safety: 0.89\n Max Deflection: 1.61e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 148.33808758810304, + "fos_buckling": 0.8897682271508717, + "fos_yielding": 3.7913253010272214, + "deflection": 0.016061859489587656, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.003794)" + }, + "parent_node_id": "node_3268", + "improvement_over_parent": null + }, + "node_3270": { + "node_id": "node_3270", + "content": "MODIFICATION: Increase 14 thickness by 64%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n\nPerformance:\n Mass: 151.12 kg\n Factor of Safety: 0.89\n Max Deflection: 1.58e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 151.11812123204575, + "fos_buckling": 0.8895579502311686, + "fos_yielding": 3.7834257082152454, + "deflection": 0.01583518706413852, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.642)" + }, + "parent_node_id": "node_3269", + "improvement_over_parent": null + }, + "node_3271": { + "node_id": "node_3271", + "content": "MODIFICATION: Increase 4 thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n\nPerformance:\n Mass: 152.00 kg\n Factor of Safety: 0.89\n Max Deflection: 1.58e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 151.99694992119854, + "fos_buckling": 0.8895357983270499, + "fos_yielding": 3.7694564843974447, + "deflection": 0.01578722176569866, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.289)" + }, + "parent_node_id": "node_3270", + "improvement_over_parent": null + }, + "node_3272": { + "node_id": "node_3272", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n Mass: 195.06 kg\n Factor of Safety: 1.09\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.06420430469754, + "fos_buckling": 1.09375403620473, + "fos_yielding": 4.831709893549491, + "deflection": 0.012379468506938447, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.311)" + }, + "parent_node_id": "node_3271", + "improvement_over_parent": null + }, + "node_3273": { + "node_id": "node_3273", + "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n Mass: 204.53 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.52851886675236, + "fos_buckling": 1.5308972512512067, + "fos_yielding": 4.833515804556888, + "deflection": 0.011219897913743495, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)" + }, + "parent_node_id": "node_3272", + "improvement_over_parent": null + }, + "node_3274": { + "node_id": "node_3274", + "content": "MODIFICATION: Increase 9 thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0026)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n Mass: 204.72 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.71798333498907, + "fos_buckling": 1.5310301167885259, + "fos_yielding": 4.833096234692896, + "deflection": 0.011210640046079473, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.300)" + }, + "parent_node_id": "node_3273", + "improvement_over_parent": null + }, + "node_3275": { + "node_id": "node_3275", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3274", + "improvement_over_parent": null + }, + "node_3276": { + "node_id": "node_3276", + "content": "INITIAL DESIGN (Trace 470)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0029)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n\nPerformance:\n Mass: 128.59 kg\n Factor of Safety: 0.82\n Max Deflection: 1.79e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 128.5868437615618, + "fos_buckling": 0.816871689426912, + "fos_yielding": 2.7861998051095886, + "deflection": 0.017882154686881976, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3277": { + "node_id": "node_3277", + "content": "MODIFICATION: Increase 8 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n\nPerformance:\n Mass: 129.27 kg\n Factor of Safety: 0.82\n Max Deflection: 1.79e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 129.2696117127402, + "fos_buckling": 0.816871689426912, + "fos_yielding": 3.391361049449721, + "deflection": 0.017882154686881976, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.230)" + }, + "parent_node_id": "node_3276", + "improvement_over_parent": null + }, + "node_3278": { + "node_id": "node_3278", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n\nPerformance:\n Mass: 134.38 kg\n Factor of Safety: 1.07\n Max Deflection: 1.69e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 134.3771098081409, + "fos_buckling": 1.0725427711021676, + "fos_yielding": 3.1825099407112414, + "deflection": 0.016927282745609742, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003003)" + }, + "parent_node_id": "node_3277", + "improvement_over_parent": null + }, + "node_3279": { + "node_id": "node_3279", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n\nPerformance:\n Mass: 159.45 kg\n Factor of Safety: 1.24\n Max Deflection: 1.43e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.44940174916886, + "fos_buckling": 1.2438310954234155, + "fos_yielding": 3.7737481282987355, + "deflection": 0.014318117367669653, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.200)" + }, + "parent_node_id": "node_3278", + "improvement_over_parent": null + }, + "node_3280": { + "node_id": "node_3280", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0038)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0058)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0050)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0051)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0048)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0054)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0047)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0051)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0069)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n\nPerformance:\n Mass: 184.40 kg\n Factor of Safety: 1.41\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.40394467994327, + "fos_buckling": 1.4054377376270046, + "fos_yielding": 4.361413168834275, + "deflection": 0.01242572024946369, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.170)" + }, + "parent_node_id": "node_3279", + "improvement_over_parent": null + }, + "node_3281": { + "node_id": "node_3281", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n Mass: 204.54 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.54197714339153, + "fos_buckling": 1.5294293012268596, + "fos_yielding": 4.835073518075984, + "deflection": 0.01123524563893177, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.120)" + }, + "parent_node_id": "node_3280", + "improvement_over_parent": null + }, + "node_3282": { + "node_id": "node_3282", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3281", + "improvement_over_parent": null + }, + "node_3283": { + "node_id": "node_3283", + "content": "INITIAL DESIGN (Trace 471)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 185.43 kg\n Factor of Safety: 1.09\n Max Deflection: 1.27e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.43050349307157, + "fos_buckling": 1.0940627324923662, + "fos_yielding": 4.835764654602185, + "deflection": 0.012657371261612578, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3284": { + "node_id": "node_3284", + "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n Mass: 199.32 kg\n Factor of Safety: 1.53\n Max Deflection: 1.16e-02 m\n Status: FEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 199.31541036869316, + "fos_buckling": 1.5286995599688091, + "fos_yielding": 4.8392266503407795, + "deflection": 0.011588537656485555, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)" + }, + "parent_node_id": "node_3283", + "improvement_over_parent": null + }, + "node_3285": { + "node_id": "node_3285", + "content": "MODIFICATION: Increase 0 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n Mass: 201.58 kg\n Factor of Safety: 1.50\n Max Deflection: 1.14e-02 m\n Status: FEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 201.5785993536106, + "fos_buckling": 1.5047495239705095, + "fos_yielding": 4.8768209459374114, + "deflection": 0.011408730557526291, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.395)" + }, + "parent_node_id": "node_3284", + "improvement_over_parent": null + }, + "node_3286": { + "node_id": "node_3286", + "content": "MODIFICATION: Increase 13 thickness by 49%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n Mass: 203.99 kg\n Factor of Safety: 1.53\n Max Deflection: 1.13e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 203.99332079748066, + "fos_buckling": 1.528549306586672, + "fos_yielding": 4.840890578767471, + "deflection": 0.011344215028839304, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.493)" + }, + "parent_node_id": "node_3285", + "improvement_over_parent": null + }, + "node_3287": { + "node_id": "node_3287", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n\nPerformance:\n Mass: 204.71 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70945262395432, + "fos_buckling": 1.5303977848861159, + "fos_yielding": 4.836747234539261, + "deflection": 0.011226532171056333, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)" + }, + "parent_node_id": "node_3286", + "improvement_over_parent": null + }, + "node_3288": { + "node_id": "node_3288", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3287", + "improvement_over_parent": null + }, + "node_3289": { + "node_id": "node_3289", + "content": "INITIAL DESIGN (Trace 472)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0034)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n\nPerformance:\n Mass: 112.96 kg\n Factor of Safety: 0.13\n Max Deflection: 2.48e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 112.956076471253, + "fos_buckling": 0.1331252326684241, + "fos_yielding": 1.2190843063118164, + "deflection": 24758115632077.68, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3290": { + "node_id": "node_3290", + "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0034)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n\nPerformance:\n Mass: 122.34 kg\n Factor of Safety: 0.38\n Max Deflection: 4.32e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 122.34090989596733, + "fos_buckling": 0.3815760236958859, + "fos_yielding": 0.9860844127543579, + "deflection": 43187627483422.75, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.004138)" + }, + "parent_node_id": "node_3289", + "improvement_over_parent": null + }, + "node_3291": { + "node_id": "node_3291", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0056)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0049)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0067)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0055)]\n\nPerformance:\n Mass: 159.22 kg\n Factor of Safety: 0.53\n Max Deflection: 5.81e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.2161594219395, + "fos_buckling": 0.5265060251181874, + "fos_yielding": 3.5626849614287552, + "deflection": 58139708444296.766, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.326)" + }, + "parent_node_id": "node_3290", + "improvement_over_parent": null + }, + "node_3292": { + "node_id": "node_3292", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n Mass: 181.13 kg\n Factor of Safety: 0.53\n Max Deflection: 7.95e+12 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.13142513856076, + "fos_buckling": 0.5260708384337741, + "fos_yielding": 2.629558434011621, + "deflection": 7945769455652.346, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.151)" + }, + "parent_node_id": "node_3291", + "improvement_over_parent": null + }, + "node_3293": { + "node_id": "node_3293", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n Mass: 188.91 kg\n Factor of Safety: 0.45\n Max Deflection: 1.46e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.91307365081323, + "fos_buckling": 0.4479423281971165, + "fos_yielding": 4.136214451338935, + "deflection": 0.01457315452633574, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004727)" + }, + "parent_node_id": "node_3292", + "improvement_over_parent": null + }, + "node_3294": { + "node_id": "node_3294", + "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 201.45 kg\n Factor of Safety: 1.53\n Max Deflection: 1.14e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 201.45206599078253, + "fos_buckling": 1.5342838233236398, + "fos_yielding": 4.838512694786853, + "deflection": 0.011443226048046205, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)" + }, + "parent_node_id": "node_3293", + "improvement_over_parent": null + }, + "node_3295": { + "node_id": "node_3295", + "content": "MODIFICATION: Increase 3 thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 204.75 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.750737075986, + "fos_buckling": 1.530818987692493, + "fos_yielding": 4.838197229923372, + "deflection": 0.011224028166533654, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.332)" + }, + "parent_node_id": "node_3294", + "improvement_over_parent": null + }, + "node_3296": { + "node_id": "node_3296", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3295", + "improvement_over_parent": null + }, + "node_3297": { + "node_id": "node_3297", + "content": "INITIAL DESIGN (Trace 473)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0029)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0031)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n Mass: 155.88 kg\n Factor of Safety: 0.58\n Max Deflection: 1.60e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 155.87690913430353, + "fos_buckling": 0.577304704968271, + "fos_yielding": 4.266277318846946, + "deflection": 0.016039051660856948, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3298": { + "node_id": "node_3298", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0029)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0031)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n\nPerformance:\n Mass: 160.26 kg\n Factor of Safety: 0.58\n Max Deflection: 1.56e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 160.26284166411062, + "fos_buckling": 0.5810544500463591, + "fos_yielding": 3.986604803802772, + "deflection": 0.015553480407858662, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003426)" + }, + "parent_node_id": "node_3297", + "improvement_over_parent": null + }, + "node_3299": { + "node_id": "node_3299", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 193.93 kg\n Factor of Safety: 0.69\n Max Deflection: 1.29e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.93223043930325, + "fos_buckling": 0.6928442168729974, + "fos_yielding": 4.817733680245048, + "deflection": 0.012887384530956272, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.230)" + }, + "parent_node_id": "node_3298", + "improvement_over_parent": null + }, + "node_3300": { + "node_id": "node_3300", + "content": "MODIFICATION: Increase 13 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0064)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 195.80 kg\n Factor of Safety: 0.69\n Max Deflection: 1.29e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.80094323683707, + "fos_buckling": 0.6944360027160273, + "fos_yielding": 4.815454758081682, + "deflection": 0.012875626129010206, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.221)" + }, + "parent_node_id": "node_3299", + "improvement_over_parent": null + }, + "node_3301": { + "node_id": "node_3301", + "content": "MODIFICATION: Increase 0 thickness by 48%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0064)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 198.39 kg\n Factor of Safety: 0.69\n Max Deflection: 1.28e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.38937448805936, + "fos_buckling": 0.6938201446926948, + "fos_yielding": 4.862761107166949, + "deflection": 0.012778792934200544, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.477)" + }, + "parent_node_id": "node_3300", + "improvement_over_parent": null + }, + "node_3302": { + "node_id": "node_3302", + "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0064)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n Mass: 201.50 kg\n Factor of Safety: 1.26\n Max Deflection: 1.10e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.50475238777977, + "fos_buckling": 1.2586082141588832, + "fos_yielding": 4.846887753798127, + "deflection": 0.010977728390732359, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)" + }, + "parent_node_id": "node_3301", + "improvement_over_parent": null + }, + "node_3303": { + "node_id": "node_3303", + "content": "MODIFICATION: Increase 17 thickness by 52%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0064)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0038)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0096)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n Mass: 207.67 kg\n Factor of Safety: 1.25\n Max Deflection: 1.09e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 207.66777725515527, + "fos_buckling": 1.2480925558894562, + "fos_yielding": 4.8468311985279415, + "deflection": 0.010868210759608716, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.515)" + }, + "parent_node_id": "node_3302", + "improvement_over_parent": null + }, + "node_3304": { + "node_id": "node_3304", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3303", + "improvement_over_parent": null + }, + "node_3305": { + "node_id": "node_3305", + "content": "INITIAL DESIGN (Trace 474)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n\nPerformance:\n Mass: 154.46 kg\n Factor of Safety: 0.36\n Max Deflection: 1.57e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 154.45844567736984, + "fos_buckling": 0.36304333068275957, + "fos_yielding": 4.322784841781983, + "deflection": 0.01570691909702547, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3306": { + "node_id": "node_3306", + "content": "MODIFICATION: Increase 17 thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n\nPerformance:\n Mass: 156.90 kg\n Factor of Safety: 0.37\n Max Deflection: 1.56e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 156.90159091226215, + "fos_buckling": 0.36804548232703943, + "fos_yielding": 4.322784841781983, + "deflection": 0.015596013545739074, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.287)" + }, + "parent_node_id": "node_3305", + "improvement_over_parent": null + }, + "node_3307": { + "node_id": "node_3307", + "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n M19: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n\nPerformance:\n Mass: 164.87 kg\n Factor of Safety: 1.00\n Max Deflection: 1.41e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.86957836074592, + "fos_buckling": 1.0018211851995322, + "fos_yielding": 4.322784841781983, + "deflection": 0.0140995888107662, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.004308)" + }, + "parent_node_id": "node_3306", + "improvement_over_parent": null + }, + "node_3308": { + "node_id": "node_3308", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n M19: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0028)]\n\nPerformance:\n Mass: 169.61 kg\n Factor of Safety: 1.32\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.60932705890187, + "fos_buckling": 1.3179280264161295, + "fos_yielding": 4.0789335943852665, + "deflection": 0.013417666022613323, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.002775)" + }, + "parent_node_id": "node_3307", + "improvement_over_parent": null + }, + "node_3309": { + "node_id": "node_3309", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n\nPerformance:\n Mass: 202.68 kg\n Factor of Safety: 1.52\n Max Deflection: 1.13e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 202.68410016572858, + "fos_buckling": 1.520774205356977, + "fos_yielding": 4.86929032606477, + "deflection": 0.011283435333467349, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.214)" + }, + "parent_node_id": "node_3308", + "improvement_over_parent": null + }, + "node_3310": { + "node_id": "node_3310", + "content": "MODIFICATION: Increase 14 thickness by 40%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0079)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n\nPerformance:\n Mass: 206.57 kg\n Factor of Safety: 1.51\n Max Deflection: 1.11e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 206.56745970018522, + "fos_buckling": 1.5096973818340196, + "fos_yielding": 4.873818532486155, + "deflection": 0.011134591036332513, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.404)" + }, + "parent_node_id": "node_3309", + "improvement_over_parent": null + }, + "node_3311": { + "node_id": "node_3311", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3310", + "improvement_over_parent": null + }, + "node_3312": { + "node_id": "node_3312", + "content": "INITIAL DESIGN (Trace 475)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 176.88 kg\n Factor of Safety: 0.28\n Max Deflection: 3.91e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.88433751643313, + "fos_buckling": 0.27716382684873125, + "fos_yielding": 1.306890307337513, + "deflection": 0.03913614182141692, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3313": { + "node_id": "node_3313", + "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n\nPerformance:\n Mass: 186.40 kg\n Factor of Safety: 0.28\n Max Deflection: 3.91e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 186.39999533343348, + "fos_buckling": 0.27650170335782076, + "fos_yielding": 1.3909546241060844, + "deflection": 0.039127688381171484, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.005227)" + }, + "parent_node_id": "node_3312", + "improvement_over_parent": null + }, + "node_3314": { + "node_id": "node_3314", + "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n Mass: 189.52 kg\n Factor of Safety: 0.28\n Max Deflection: 3.38e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.5153732331539, + "fos_buckling": 0.2763576064939465, + "fos_yielding": 1.3902184084453193, + "deflection": 0.033768687451700405, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)" + }, + "parent_node_id": "node_3313", + "improvement_over_parent": null + }, + "node_3315": { + "node_id": "node_3315", + "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M19: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.6999272480553, + "fos_buckling": 1.530401933085908, + "fos_yielding": 4.836789154684582, + "deflection": 0.011226918485044543, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)" + }, + "parent_node_id": "node_3314", + "improvement_over_parent": null + }, + "node_3316": { + "node_id": "node_3316", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3315", + "improvement_over_parent": null + }, + "node_3317": { + "node_id": "node_3317", + "content": "INITIAL DESIGN (Trace 476)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0046)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n\nPerformance:\n Mass: 126.22 kg\n Factor of Safety: 0.17\n Max Deflection: 1.77e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 126.2219874567633, + "fos_buckling": 0.17047415269969257, + "fos_yielding": 3.1510713479006367, + "deflection": 0.01769394588854375, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3318": { + "node_id": "node_3318", + "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0046)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0033)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0049)]\n M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n\nPerformance:\n Mass: 133.69 kg\n Factor of Safety: 1.07\n Max Deflection: 1.70e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 133.68539945012273, + "fos_buckling": 1.0676951736085198, + "fos_yielding": 3.164805918735275, + "deflection": 0.01701328958582401, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.003620)" + }, + "parent_node_id": "node_3317", + "improvement_over_parent": null + }, + "node_3319": { + "node_id": "node_3319", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n\nPerformance:\n Mass: 159.75 kg\n Factor of Safety: 1.25\n Max Deflection: 1.43e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.74788368710787, + "fos_buckling": 1.245822137485893, + "fos_yielding": 3.779154238932356, + "deflection": 0.014292113480182422, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.209)" + }, + "parent_node_id": "node_3318", + "improvement_over_parent": null + }, + "node_3320": { + "node_id": "node_3320", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n Mass: 204.72 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.7163929873536, + "fos_buckling": 1.5304847965654762, + "fos_yielding": 4.8371414874375755, + "deflection": 0.011226053040704013, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.309)" + }, + "parent_node_id": "node_3319", + "improvement_over_parent": null + }, + "node_3321": { + "node_id": "node_3321", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3320", + "improvement_over_parent": null + }, + "node_3322": { + "node_id": "node_3322", + "content": "INITIAL DESIGN (Trace 477)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0028)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n\nPerformance:\n Mass: 169.25 kg\n Factor of Safety: 1.23\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.2506196179175, + "fos_buckling": 1.2279951174990964, + "fos_yielding": 4.021662853270797, + "deflection": 0.013394054144476976, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3323": { + "node_id": "node_3323", + "content": "MODIFICATION: Increase 13 thickness by 40%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n\nPerformance:\n Mass: 171.02 kg\n Factor of Safety: 1.15\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.02348468666816, + "fos_buckling": 1.1527112764018326, + "fos_yielding": 4.00219230372655, + "deflection": 0.013253308025723505, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.401)" + }, + "parent_node_id": "node_3322", + "improvement_over_parent": null + }, + "node_3324": { + "node_id": "node_3324", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 203.57 kg\n Factor of Safety: 1.32\n Max Deflection: 1.12e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.56833116117758, + "fos_buckling": 1.3217532183367462, + "fos_yielding": 4.759421836216037, + "deflection": 0.011188487617236332, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.209)" + }, + "parent_node_id": "node_3323", + "improvement_over_parent": null + }, + "node_3325": { + "node_id": "node_3325", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n\nPerformance:\n Mass: 204.69 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.6949789814642, + "fos_buckling": 1.5303394722235388, + "fos_yielding": 4.836542529510892, + "deflection": 0.011227218854915665, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002506)" + }, + "parent_node_id": "node_3324", + "improvement_over_parent": null + }, + "node_3326": { + "node_id": "node_3326", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3325", + "improvement_over_parent": null + }, + "node_3327": { + "node_id": "node_3327", + "content": "INITIAL DESIGN (Trace 478)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 0, + "fos_buckling": 0, + "fos_yielding": 0, + "deflection": Infinity, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3328": { + "node_id": "node_3328", + "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n Mass: 176.49 kg\n Factor of Safety: 0.34\n Max Deflection: 2.94e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.48568806566112, + "fos_buckling": 0.33764490108049555, + "fos_yielding": 2.156088286338252, + "deflection": 0.029351913829371676, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)" + }, + "parent_node_id": "node_3327", + "improvement_over_parent": null + }, + "node_3329": { + "node_id": "node_3329", + "content": "MODIFICATION: Increase 7 thickness by 51%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0038)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n Mass: 176.98 kg\n Factor of Safety: 0.34\n Max Deflection: 2.87e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.979487570661, + "fos_buckling": 0.33761699933577877, + "fos_yielding": 2.1558195642575373, + "deflection": 0.028689292113832008, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.508)" + }, + "parent_node_id": "node_3328", + "improvement_over_parent": null + }, + "node_3330": { + "node_id": "node_3330", + "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0038)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n Mass: 190.86 kg\n Factor of Safety: 0.34\n Max Deflection: 2.77e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.8643944462826, + "fos_buckling": 0.33722520917656723, + "fos_yielding": 2.073688944008274, + "deflection": 0.027721281375120435, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)" + }, + "parent_node_id": "node_3329", + "improvement_over_parent": null + }, + "node_3331": { + "node_id": "node_3331", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0038)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M18: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n Mass: 203.35 kg\n Factor of Safety: 1.17\n Max Deflection: 1.14e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.35220152329936, + "fos_buckling": 1.169435788149101, + "fos_yielding": 3.35490373780455, + "deflection": 0.011362629006786959, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.006468)" + }, + "parent_node_id": "node_3330", + "improvement_over_parent": null + }, + "node_3332": { + "node_id": "node_3332", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3331", + "improvement_over_parent": null + }, + "node_3333": { + "node_id": "node_3333", + "content": "INITIAL DESIGN (Trace 479)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0031)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0042)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0039)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0037)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0033)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0031)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0024)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0033)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0044)]\n\nPerformance:\n Mass: 105.43 kg\n Factor of Safety: 0.23\n Max Deflection: 2.38e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 105.42852410417046, + "fos_buckling": 0.22871115444358756, + "fos_yielding": 2.8801178071169606, + "deflection": 0.02375475885164681, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3334": { + "node_id": "node_3334", + "content": "MODIFICATION: Increase 13 thickness by 46%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0031)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0036)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0042)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0039)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0024)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0037)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0032)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0033)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0014)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0024)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0031)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0027)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0033)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0028)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0044)]\n\nPerformance:\n Mass: 107.69 kg\n Factor of Safety: 0.23\n Max Deflection: 2.33e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 107.6880534657465, + "fos_buckling": 0.22875787670811898, + "fos_yielding": 2.9179482077055723, + "deflection": 0.02332008897679109, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.458)" + }, + "parent_node_id": "node_3333", + "improvement_over_parent": null + }, + "node_3335": { + "node_id": "node_3335", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0052)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0049)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0046)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0040)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0043)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0055)]\n\nPerformance:\n Mass: 132.93 kg\n Factor of Safety: 0.27\n Max Deflection: 1.90e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 132.92654928002582, + "fos_buckling": 0.2749754031715786, + "fos_yielding": 3.59940549865109, + "deflection": 0.018959658820987074, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.250)" + }, + "parent_node_id": "node_3334", + "improvement_over_parent": null + }, + "node_3336": { + "node_id": "node_3336", + "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0052)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0049)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0046)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0040)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0043)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0055)]\n M19: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n\nPerformance:\n Mass: 139.90 kg\n Factor of Safety: 0.84\n Max Deflection: 1.68e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 139.90074034035374, + "fos_buckling": 0.8442683342518507, + "fos_yielding": 3.5504044650560043, + "deflection": 0.016761989598984662, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.003734)" + }, + "parent_node_id": "node_3335", + "improvement_over_parent": null + }, + "node_3337": { + "node_id": "node_3337", + "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0052)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0049)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0046)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0040)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0041)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0043)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0034)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0041)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0055)]\n M19: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n\nPerformance:\n Mass: 150.08 kg\n Factor of Safety: 1.18\n Max Deflection: 1.52e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 150.07613591710796, + "fos_buckling": 1.1808379498661175, + "fos_yielding": 3.55145055342937, + "deflection": 0.015191116679460326, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.004510)" + }, + "parent_node_id": "node_3336", + "improvement_over_parent": null + }, + "node_3338": { + "node_id": "node_3338", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n M19: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n\nPerformance:\n Mass: 176.30 kg\n Factor of Safety: 1.35\n Max Deflection: 1.30e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.30498879356762, + "fos_buckling": 1.35394742475772, + "fos_yielding": 4.1692028601683555, + "deflection": 0.012980840630811518, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.189)" + }, + "parent_node_id": "node_3337", + "improvement_over_parent": null + }, + "node_3339": { + "node_id": "node_3339", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n Mass: 204.55 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.55401186319128, + "fos_buckling": 1.529489620427137, + "fos_yielding": 4.833563151991101, + "deflection": 0.011234317991098244, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.176)" + }, + "parent_node_id": "node_3338", + "improvement_over_parent": null + }, + "node_3340": { + "node_id": "node_3340", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3339", + "improvement_over_parent": null + }, + "node_3341": { + "node_id": "node_3341", + "content": "INITIAL DESIGN (Trace 480)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0028)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 186.62 kg\n Factor of Safety: 0.90\n Max Deflection: 1.27e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 186.62276785488376, + "fos_buckling": 0.904786039498271, + "fos_yielding": 5.162219867543787, + "deflection": 0.012724399547563183, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3342": { + "node_id": "node_3342", + "content": "MODIFICATION: Increase 6 thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 187.88 kg\n Factor of Safety: 0.90\n Max Deflection: 1.27e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 187.882755992109, + "fos_buckling": 0.9007403190904497, + "fos_yielding": 5.162219867543787, + "deflection": 0.012721756141807178, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.267)" + }, + "parent_node_id": "node_3341", + "improvement_over_parent": null + }, + "node_3343": { + "node_id": "node_3343", + "content": "MODIFICATION: Increase 17 thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 190.39 kg\n Factor of Safety: 0.90\n Max Deflection: 1.27e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.3892872090072, + "fos_buckling": 0.897805401111205, + "fos_yielding": 5.162219867543787, + "deflection": 0.012720026353978255, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.242)" + }, + "parent_node_id": "node_3342", + "improvement_over_parent": null + }, + "node_3344": { + "node_id": "node_3344", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 195.70 kg\n Factor of Safety: 0.90\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.6973326860017, + "fos_buckling": 0.9036779515119695, + "fos_yielding": 4.8840620279927895, + "deflection": 0.012438627890532919, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)" + }, + "parent_node_id": "node_3343", + "improvement_over_parent": null + }, + "node_3345": { + "node_id": "node_3345", + "content": "MODIFICATION: Increase 7 thickness by 56%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0089)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 198.50 kg\n Factor of Safety: 0.90\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.49652799116075, + "fos_buckling": 0.9045022288776894, + "fos_yielding": 6.3862893948729695, + "deflection": 0.012397357831918736, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.560)" + }, + "parent_node_id": "node_3344", + "improvement_over_parent": null + }, + "node_3346": { + "node_id": "node_3346", + "content": "MODIFICATION: Increase 13 thickness by 48%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0089)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0078)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 202.48 kg\n Factor of Safety: 0.91\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.48086977800855, + "fos_buckling": 0.9079527513193724, + "fos_yielding": 6.103992156109464, + "deflection": 0.012379772643907473, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.484)" + }, + "parent_node_id": "node_3345", + "improvement_over_parent": null + }, + "node_3347": { + "node_id": "node_3347", + "content": "MODIFICATION: Increase 9 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0089)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0028)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0078)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 202.72 kg\n Factor of Safety: 0.90\n Max Deflection: 1.23e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.72421385196847, + "fos_buckling": 0.8957425596656463, + "fos_yielding": 6.612188531461768, + "deflection": 0.012336658503093352, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.389)" + }, + "parent_node_id": "node_3346", + "improvement_over_parent": null + }, + "node_3348": { + "node_id": "node_3348", + "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0089)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0028)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0078)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n Mass: 205.84 kg\n Factor of Safety: 1.33\n Max Deflection: 1.13e-02 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.83959175168889, + "fos_buckling": 1.3337395456650905, + "fos_yielding": 5.690548174821419, + "deflection": 0.011269483584394061, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)" + }, + "parent_node_id": "node_3347", + "improvement_over_parent": null + }, + "node_3349": { + "node_id": "node_3349", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3348", + "improvement_over_parent": null + }, + "node_3350": { + "node_id": "node_3350", + "content": "INITIAL DESIGN (Trace 481)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0029)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0027)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0052)]\n\nPerformance:\n Mass: 131.60 kg\n Factor of Safety: 0.66\n Max Deflection: 1.82e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 131.60240829679023, + "fos_buckling": 0.662780629373089, + "fos_yielding": 3.5959161848203656, + "deflection": 0.01815522614350349, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3351": { + "node_id": "node_3351", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0036)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0029)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0036)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0027)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0052)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n\nPerformance:\n Mass: 135.30 kg\n Factor of Safety: 0.67\n Max Deflection: 1.77e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 135.29915356293964, + "fos_buckling": 0.6662868511824406, + "fos_yielding": 3.3855827411571844, + "deflection": 0.017723595477265337, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.002853)" + }, + "parent_node_id": "node_3350", + "improvement_over_parent": null + }, + "node_3352": { + "node_id": "node_3352", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0034)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n\nPerformance:\n Mass: 172.82 kg\n Factor of Safety: 0.82\n Max Deflection: 1.39e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.8226947903545, + "fos_buckling": 0.8241303519565295, + "fos_yielding": 4.317843170167733, + "deflection": 0.013928359241986652, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.300)" + }, + "parent_node_id": "node_3351", + "improvement_over_parent": null + }, + "node_3353": { + "node_id": "node_3353", + "content": "MODIFICATION: Increase 7 thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0067)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0034)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n\nPerformance:\n Mass: 174.36 kg\n Factor of Safety: 0.82\n Max Deflection: 1.39e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.36104007967285, + "fos_buckling": 0.8245925922141003, + "fos_yielding": 5.564326689584991, + "deflection": 0.013891114408323434, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.332)" + }, + "parent_node_id": "node_3352", + "improvement_over_parent": null + }, + "node_3354": { + "node_id": "node_3354", + "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0064)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0067)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0022)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0053)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0049)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0034)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n\nPerformance:\n Mass: 177.13 kg\n Factor of Safety: 1.29\n Max Deflection: 1.28e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.13251201340276, + "fos_buckling": 1.2933615799561233, + "fos_yielding": 5.17848259829734, + "deflection": 0.012750803978471378, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003667)" + }, + "parent_node_id": "node_3353", + "improvement_over_parent": null + }, + "node_3355": { + "node_id": "node_3355", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0076)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n Mass: 199.09 kg\n Factor of Safety: 1.42\n Max Deflection: 1.14e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.08687292884306, + "fos_buckling": 1.4237301921950276, + "fos_yielding": 5.8121479870816355, + "deflection": 0.011381724570657482, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.136)" + }, + "parent_node_id": "node_3354", + "improvement_over_parent": null + }, + "node_3356": { + "node_id": "node_3356", + "content": "MODIFICATION: Increase 19 thickness by 61%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0076)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0068)]\n M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n Mass: 201.85 kg\n Factor of Safety: 1.42\n Max Deflection: 1.13e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.8491016111358, + "fos_buckling": 1.4235855170210527, + "fos_yielding": 5.812148115219438, + "deflection": 0.011322623794114653, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(19, thickness, 1.610)" + }, + "parent_node_id": "node_3355", + "improvement_over_parent": null + }, + "node_3357": { + "node_id": "node_3357", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3356", + "improvement_over_parent": null + }, + "node_3358": { + "node_id": "node_3358", + "content": "INITIAL DESIGN (Trace 482)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0027)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0033)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n\nPerformance:\n Mass: 125.80 kg\n Factor of Safety: 0.78\n Max Deflection: 1.99e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 125.80382555136808, + "fos_buckling": 0.7849369402949758, + "fos_yielding": 3.2553064625210775, + "deflection": 0.01989709073289992, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3359": { + "node_id": "node_3359", + "content": "MODIFICATION: Increase 12 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0027)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0045)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0051)]\n\nPerformance:\n Mass: 127.16 kg\n Factor of Safety: 0.78\n Max Deflection: 1.98e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 127.15549772346648, + "fos_buckling": 0.7849068092529358, + "fos_yielding": 3.2738684471234425, + "deflection": 0.01975212454466837, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.202)" + }, + "parent_node_id": "node_3358", + "improvement_over_parent": null + }, + "node_3360": { + "node_id": "node_3360", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0032)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n Mass: 150.41 kg\n Factor of Safety: 0.91\n Max Deflection: 1.67e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 150.4088602203557, + "fos_buckling": 0.9068972651090031, + "fos_yielding": 3.8687876785521302, + "deflection": 0.016745537930557077, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.196)" + }, + "parent_node_id": "node_3359", + "improvement_over_parent": null + }, + "node_3361": { + "node_id": "node_3361", + "content": "MODIFICATION: Increase 6 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0032)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n Mass: 152.40 kg\n Factor of Safety: 0.91\n Max Deflection: 1.63e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 152.40456048971197, + "fos_buckling": 0.9066408515600816, + "fos_yielding": 3.8674560663336943, + "deflection": 0.016346227055643106, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.212)" + }, + "parent_node_id": "node_3360", + "improvement_over_parent": null + }, + "node_3362": { + "node_id": "node_3362", + "content": "MODIFICATION: Increase 1 thickness by 54%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n Mass: 155.59 kg\n Factor of Safety: 0.91\n Max Deflection: 1.55e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 155.59373331244578, + "fos_buckling": 0.9063951349969455, + "fos_yielding": 3.8576664220791788, + "deflection": 0.015452689873868889, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.543)" + }, + "parent_node_id": "node_3361", + "improvement_over_parent": null + }, + "node_3363": { + "node_id": "node_3363", + "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0051)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0045)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0033)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0045)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n\nPerformance:\n Mass: 163.14 kg\n Factor of Safety: 1.27\n Max Deflection: 1.40e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.1360241684615, + "fos_buckling": 1.2682597328481917, + "fos_yielding": 3.8588848588864053, + "deflection": 0.01400146887248053, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.004400)" + }, + "parent_node_id": "node_3362", + "improvement_over_parent": null + }, + "node_3364": { + "node_id": "node_3364", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n Mass: 204.74 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.74156825748634, + "fos_buckling": 1.5306265819012708, + "fos_yielding": 4.837644351994438, + "deflection": 0.011224126788302606, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.280)" + }, + "parent_node_id": "node_3363", + "improvement_over_parent": null + }, + "node_3365": { + "node_id": "node_3365", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3364", + "improvement_over_parent": null + }, + "node_3366": { + "node_id": "node_3366", + "content": "INITIAL DESIGN (Trace 483)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0038)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0035)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0032)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n\nPerformance:\n Mass: 126.76 kg\n Factor of Safety: 0.60\n Max Deflection: 2.00e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 126.75801852099518, + "fos_buckling": 0.5975571659915943, + "fos_yielding": 3.4762103938455513, + "deflection": 0.01995435385297082, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3367": { + "node_id": "node_3367", + "content": "MODIFICATION: Increase 11 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0038)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0035)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0037)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0037)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0035)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0039)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0041)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n\nPerformance:\n Mass: 128.15 kg\n Factor of Safety: 0.60\n Max Deflection: 1.98e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 128.14772972294074, + "fos_buckling": 0.5975897310273078, + "fos_yielding": 3.4762103938455513, + "deflection": 0.019779804932413294, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.209)" + }, + "parent_node_id": "node_3366", + "improvement_over_parent": null + }, + "node_3368": { + "node_id": "node_3368", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n Mass: 149.10 kg\n Factor of Safety: 0.68\n Max Deflection: 1.70e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 149.09881217422983, + "fos_buckling": 0.6830122805045219, + "fos_yielding": 4.042939610377383, + "deflection": 0.01702889245489556, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.175)" + }, + "parent_node_id": "node_3367", + "improvement_over_parent": null + }, + "node_3369": { + "node_id": "node_3369", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n\nPerformance:\n Mass: 153.25 kg\n Factor of Safety: 0.69\n Max Deflection: 1.67e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 153.25460026522592, + "fos_buckling": 0.6865781309773703, + "fos_yielding": 3.8073993231115533, + "deflection": 0.01665019644147528, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003233)" + }, + "parent_node_id": "node_3368", + "improvement_over_parent": null + }, + "node_3370": { + "node_id": "node_3370", + "content": "MODIFICATION: Increase 3 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n\nPerformance:\n Mass: 155.00 kg\n Factor of Safety: 0.71\n Max Deflection: 1.61e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 154.9951266334793, + "fos_buckling": 0.7067354401257058, + "fos_yielding": 3.8064407222349192, + "deflection": 0.01613337521253873, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.199)" + }, + "parent_node_id": "node_3369", + "improvement_over_parent": null + }, + "node_3371": { + "node_id": "node_3371", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 197.98 kg\n Factor of Safety: 0.87\n Max Deflection: 1.27e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.98431351484194, + "fos_buckling": 0.8705502742331355, + "fos_yielding": 4.854875576925064, + "deflection": 0.012675355879870159, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.304)" + }, + "parent_node_id": "node_3370", + "improvement_over_parent": null + }, + "node_3372": { + "node_id": "node_3372", + "content": "MODIFICATION: Increase 6 thickness by 34%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0075)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 200.81 kg\n Factor of Safety: 0.87\n Max Deflection: 1.27e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.8100866347026, + "fos_buckling": 0.8671921274089711, + "fos_yielding": 4.854922422467465, + "deflection": 0.012674435887642353, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.340)" + }, + "parent_node_id": "node_3371", + "improvement_over_parent": null + }, + "node_3373": { + "node_id": "node_3373", + "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0075)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.30\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.925464534423, + "fos_buckling": 1.302053727820079, + "fos_yielding": 4.839646740689939, + "deflection": 0.011810968046704036, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)" + }, + "parent_node_id": "node_3372", + "improvement_over_parent": null + }, + "node_3374": { + "node_id": "node_3374", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3373", + "improvement_over_parent": null + }, + "node_3375": { + "node_id": "node_3375", + "content": "INITIAL DESIGN (Trace 484)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0040)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0054)]\n\nPerformance:\n Mass: 141.02 kg\n Factor of Safety: 0.88\n Max Deflection: 1.64e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 141.01879787020204, + "fos_buckling": 0.8797637533057777, + "fos_yielding": 3.697775733450886, + "deflection": 0.016422546578368193, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3376": { + "node_id": "node_3376", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0040)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0054)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n\nPerformance:\n Mass: 146.59 kg\n Factor of Safety: 1.16\n Max Deflection: 1.55e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 146.59087841699625, + "fos_buckling": 1.1571154087147997, + "fos_yielding": 3.4691459015562818, + "deflection": 0.015544758669457835, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003294)" + }, + "parent_node_id": "node_3375", + "improvement_over_parent": null + }, + "node_3377": { + "node_id": "node_3377", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0063)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0049)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0036)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0045)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0048)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0043)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n\nPerformance:\n Mass: 177.62 kg\n Factor of Safety: 1.36\n Max Deflection: 1.29e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.61639770287584, + "fos_buckling": 1.362367464784039, + "fos_yielding": 4.1998847458991655, + "deflection": 0.012887799677986873, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.229)" + }, + "parent_node_id": "node_3376", + "improvement_over_parent": null + }, + "node_3378": { + "node_id": "node_3378", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n Mass: 204.78 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.77709200635363, + "fos_buckling": 1.530856152904011, + "fos_yielding": 4.838599051693368, + "deflection": 0.011222730682600844, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.168)" + }, + "parent_node_id": "node_3377", + "improvement_over_parent": null + }, + "node_3379": { + "node_id": "node_3379", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3378", + "improvement_over_parent": null + }, + "node_3380": { + "node_id": "node_3380", + "content": "INITIAL DESIGN (Trace 485)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0031)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0028)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0040)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0054)]\n\nPerformance:\n Mass: 134.11 kg\n Factor of Safety: 0.34\n Max Deflection: 2.47e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 134.1085586569608, + "fos_buckling": 0.3434326226663238, + "fos_yielding": 2.5347163060616937, + "deflection": 0.02470552706580508, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3381": { + "node_id": "node_3381", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n Mass: 165.82 kg\n Factor of Safety: 0.41\n Max Deflection: 2.01e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.82486569272953, + "fos_buckling": 0.40919184326522234, + "fos_yielding": 3.136514153278548, + "deflection": 0.020082270784487283, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.256)" + }, + "parent_node_id": "node_3380", + "improvement_over_parent": null + }, + "node_3382": { + "node_id": "node_3382", + "content": "MODIFICATION: Increase 13 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n Mass: 167.69 kg\n Factor of Safety: 0.41\n Max Deflection: 1.93e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 167.68504955816013, + "fos_buckling": 0.40887632791565953, + "fos_yielding": 3.1360359681725716, + "deflection": 0.01934121054794262, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.305)" + }, + "parent_node_id": "node_3381", + "improvement_over_parent": null + }, + "node_3383": { + "node_id": "node_3383", + "content": "MODIFICATION: Increase 8 thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0065)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0057)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0050)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0018)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0037)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0047)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0042)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0046)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0050)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0050)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0044)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0056)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0068)]\n\nPerformance:\n Mass: 168.46 kg\n Factor of Safety: 0.41\n Max Deflection: 1.91e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 168.45780809868927, + "fos_buckling": 0.4088763279156594, + "fos_yielding": 3.685095497640718, + "deflection": 0.01906670252674267, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.190)" + }, + "parent_node_id": "node_3382", + "improvement_over_parent": null + }, + "node_3384": { + "node_id": "node_3384", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 189.02 kg\n Factor of Safety: 0.45\n Max Deflection: 1.71e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.02077452465429, + "fos_buckling": 0.4478731737423651, + "fos_yielding": 4.13024972562879, + "deflection": 0.017056784323551948, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.134)" + }, + "parent_node_id": "node_3383", + "improvement_over_parent": null + }, + "node_3385": { + "node_id": "node_3385", + "content": "MODIFICATION: Increase 7 thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 190.94 kg\n Factor of Safety: 0.45\n Max Deflection: 1.70e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.93806184467488, + "fos_buckling": 0.4478023213053333, + "fos_yielding": 4.13012006775605, + "deflection": 0.01703306689818848, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.279)" + }, + "parent_node_id": "node_3384", + "improvement_over_parent": null + }, + "node_3386": { + "node_id": "node_3386", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n\nPerformance:\n Mass: 192.06 kg\n Factor of Safety: 0.45\n Max Deflection: 1.44e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.0647096649615, + "fos_buckling": 0.4475526916672889, + "fos_yielding": 4.129662990697675, + "deflection": 0.014364338338781401, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002506)" + }, + "parent_node_id": "node_3385", + "improvement_over_parent": null + }, + "node_3387": { + "node_id": "node_3387", + "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M20: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 204.60 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.6037020049308, + "fos_buckling": 1.5298472993117223, + "fos_yielding": 4.830993707994091, + "deflection": 0.011231945858405536, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)" + }, + "parent_node_id": "node_3386", + "improvement_over_parent": null + }, + "node_3388": { + "node_id": "node_3388", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3387", + "improvement_over_parent": null + }, + "node_3389": { + "node_id": "node_3389", + "content": "INITIAL DESIGN (Trace 486)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n Mass: 153.86 kg\n Factor of Safety: 0.83\n Max Deflection: 1.37e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 153.8598846047122, + "fos_buckling": 0.8315002996671985, + "fos_yielding": 3.819873351199492, + "deflection": 0.013688187290328143, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3390": { + "node_id": "node_3390", + "content": "MODIFICATION: Increase 0 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n\nPerformance:\n Mass: 155.15 kg\n Factor of Safety: 0.83\n Max Deflection: 1.36e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 155.14661851938672, + "fos_buckling": 0.8315934270970402, + "fos_yielding": 3.8411870087847904, + "deflection": 0.013624485298123013, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.252)" + }, + "parent_node_id": "node_3389", + "improvement_over_parent": null + }, + "node_3391": { + "node_id": "node_3391", + "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0057)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0050)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0042)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0047)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0037)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0041)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0044)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0049)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0060)]\n M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0039)]\n\nPerformance:\n Mass: 161.96 kg\n Factor of Safety: 1.26\n Max Deflection: 1.41e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 161.95903012792454, + "fos_buckling": 1.260474883337662, + "fos_yielding": 3.8312314244695513, + "deflection": 0.014101382275152346, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.003855)" + }, + "parent_node_id": "node_3390", + "improvement_over_parent": null + }, + "node_3392": { + "node_id": "node_3392", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n\nPerformance:\n Mass: 204.74 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.74184064119893, + "fos_buckling": 1.5306218525777882, + "fos_yielding": 4.8377340389286605, + "deflection": 0.011224567412568835, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.290)" + }, + "parent_node_id": "node_3391", + "improvement_over_parent": null + }, + "node_3393": { + "node_id": "node_3393", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3392", + "improvement_over_parent": null + }, + "node_3394": { + "node_id": "node_3394", + "content": "INITIAL DESIGN (Trace 487)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0045)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0042)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0040)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0027)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0035)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0026)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0029)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0027)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0035)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n\nPerformance:\n Mass: 108.45 kg\n Factor of Safety: 0.27\n Max Deflection: 3.16e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 108.45353670222926, + "fos_buckling": 0.2657700758149127, + "fos_yielding": 2.093350767806588, + "deflection": 0.03156246189692253, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3395": { + "node_id": "node_3395", + "content": "MODIFICATION: Increase 14 thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0045)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0042)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0040)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0027)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0035)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0026)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0029)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0032)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0035)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n\nPerformance:\n Mass: 109.38 kg\n Factor of Safety: 0.27\n Max Deflection: 3.15e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 109.3839794956325, + "fos_buckling": 0.2657489843704773, + "fos_yielding": 2.0931846400314136, + "deflection": 0.03154086718060013, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.193)" + }, + "parent_node_id": "node_3394", + "improvement_over_parent": null + }, + "node_3396": { + "node_id": "node_3396", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0045)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0042)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0040)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0027)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0035)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0026)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0029)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0032)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0034)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0035)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n\nPerformance:\n Mass: 112.74 kg\n Factor of Safety: 0.27\n Max Deflection: 3.08e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 112.74240148797513, + "fos_buckling": 0.265723612369194, + "fos_yielding": 2.092984796244621, + "deflection": 0.03081227754658093, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.002577)" + }, + "parent_node_id": "node_3395", + "improvement_over_parent": null + }, + "node_3397": { + "node_id": "node_3397", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n\nPerformance:\n Mass: 147.57 kg\n Factor of Safety: 0.34\n Max Deflection: 2.36e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 147.56522891355507, + "fos_buckling": 0.3390821906050787, + "fos_yielding": 2.741409025721794, + "deflection": 0.02360412207025651, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.332)" + }, + "parent_node_id": "node_3396", + "improvement_over_parent": null + }, + "node_3398": { + "node_id": "node_3398", + "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n Mass: 164.81 kg\n Factor of Safety: 1.08\n Max Deflection: 1.38e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.81013831769573, + "fos_buckling": 1.0793382185723976, + "fos_yielding": 3.962324733616414, + "deflection": 0.013826241031567536, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.006293)" + }, + "parent_node_id": "node_3397", + "improvement_over_parent": null + }, + "node_3399": { + "node_id": "node_3399", + "content": "MODIFICATION: Increase 7 thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0060)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n Mass: 166.08 kg\n Factor of Safety: 1.12\n Max Deflection: 1.37e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.07718215304416, + "fos_buckling": 1.1178647201105851, + "fos_yielding": 4.660770589614999, + "deflection": 0.01374431011580962, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.290)" + }, + "parent_node_id": "node_3398", + "improvement_over_parent": null + }, + "node_3400": { + "node_id": "node_3400", + "content": "MODIFICATION: Increase 13 thickness by 43%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0060)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0053)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0060)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0034)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0055)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n Mass: 168.58 kg\n Factor of Safety: 1.04\n Max Deflection: 1.36e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 168.57551045045, + "fos_buckling": 1.040562275005961, + "fos_yielding": 4.6607896599046015, + "deflection": 0.013648846589396788, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.433)" + }, + "parent_node_id": "node_3399", + "improvement_over_parent": null + }, + "node_3401": { + "node_id": "node_3401", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0044)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0074)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0068)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 203.83 kg\n Factor of Safety: 1.22\n Max Deflection: 1.13e-02 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.8278058728363, + "fos_buckling": 1.215107708461736, + "fos_yielding": 5.627361038212886, + "deflection": 0.011342691786186705, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.230)" + }, + "parent_node_id": "node_3400", + "improvement_over_parent": null + }, + "node_3402": { + "node_id": "node_3402", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3401", + "improvement_over_parent": null + }, + "node_3403": { + "node_id": "node_3403", + "content": "INITIAL DESIGN (Trace 488)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0022)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0038)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0036)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0022)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0034)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0029)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0030)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0022)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0020)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0031)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0024)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0027)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0029)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0030)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0026)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0030)]\n\nPerformance:\n Mass: 98.00 kg\n Factor of Safety: 0.16\n Max Deflection: 6.26e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 97.9992802940525, + "fos_buckling": 0.1640687605046343, + "fos_yielding": 0.7582656047636377, + "deflection": 0.06262678618770562, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3404": { + "node_id": "node_3404", + "content": "MODIFICATION: Increase 11 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0022)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0038)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0036)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0022)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0034)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0029)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0030)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0022)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0028)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0031)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0024)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0027)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0029)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0030)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0026)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0030)]\n\nPerformance:\n Mass: 98.76 kg\n Factor of Safety: 0.16\n Max Deflection: 6.23e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 98.75814007169431, + "fos_buckling": 0.16406876050463445, + "fos_yielding": 0.7582656047636387, + "deflection": 0.06234510550539734, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.389)" + }, + "parent_node_id": "node_3403", + "improvement_over_parent": null + }, + "node_3405": { + "node_id": "node_3405", + "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0022)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0038)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0036)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0022)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0034)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0029)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0030)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0022)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0028)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0031)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0024)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0027)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0029)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0030)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0026)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0033)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0030)]\n M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0037)]\n\nPerformance:\n Mass: 106.97 kg\n Factor of Safety: 0.74\n Max Deflection: 2.12e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 106.96969312419405, + "fos_buckling": 0.736114940756613, + "fos_yielding": 2.607782204270668, + "deflection": 0.021223866695748786, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.003695)" + }, + "parent_node_id": "node_3404", + "improvement_over_parent": null + }, + "node_3406": { + "node_id": "node_3406", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0029)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0039)]\n M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n\nPerformance:\n Mass: 139.52 kg\n Factor of Safety: 0.94\n Max Deflection: 1.63e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 139.51698523877099, + "fos_buckling": 0.9406227968611973, + "fos_yielding": 3.396976202788792, + "deflection": 0.01634925240908171, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.323)" + }, + "parent_node_id": "node_3405", + "improvement_over_parent": null + }, + "node_3407": { + "node_id": "node_3407", + "content": "MODIFICATION: Increase 20 thickness by 35%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0029)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0039)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0039)]\n M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0066)]\n\nPerformance:\n Mass: 142.96 kg\n Factor of Safety: 0.94\n Max Deflection: 1.56e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 142.95752108597273, + "fos_buckling": 0.9379870668137005, + "fos_yielding": 3.395387578195451, + "deflection": 0.015600362412454487, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(20, thickness, 1.350)" + }, + "parent_node_id": "node_3406", + "improvement_over_parent": null + }, + "node_3408": { + "node_id": "node_3408", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0046)]\n M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0078)]\n\nPerformance:\n Mass: 166.31 kg\n Factor of Safety: 1.08\n Max Deflection: 1.35e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.3087882817182, + "fos_buckling": 1.0757382469517272, + "fos_yielding": 3.948074102297968, + "deflection": 0.013458372748915396, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.176)" + }, + "parent_node_id": "node_3407", + "improvement_over_parent": null + }, + "node_3409": { + "node_id": "node_3409", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0057)]\n M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0096)]\n\nPerformance:\n Mass: 202.77 kg\n Factor of Safety: 1.28\n Max Deflection: 1.11e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.77357923769955, + "fos_buckling": 1.282124451236122, + "fos_yielding": 4.810140908899791, + "deflection": 0.011100460624209095, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.241)" + }, + "parent_node_id": "node_3408", + "improvement_over_parent": null + }, + "node_3410": { + "node_id": "node_3410", + "content": "MODIFICATION: Increase 0 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0057)]\n M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0096)]\n\nPerformance:\n Mass: 204.38 kg\n Factor of Safety: 1.28\n Max Deflection: 1.10e-02 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.3848084978298, + "fos_buckling": 1.2821245984801253, + "fos_yielding": 4.83641972477854, + "deflection": 0.011000423546214074, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.255)" + }, + "parent_node_id": "node_3409", + "improvement_over_parent": null + }, + "node_3411": { + "node_id": "node_3411", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3410", + "improvement_over_parent": null + }, + "node_3412": { + "node_id": "node_3412", + "content": "INITIAL DESIGN (Trace 489)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0026)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0031)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0036)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0034)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0021)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0032)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0035)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0028)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0028)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0012)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0020)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0026)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0029)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0017)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0028)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0028)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0024)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0031)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0038)]\n\nPerformance:\n Mass: 99.21 kg\n Factor of Safety: 0.66\n Max Deflection: 2.29e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 99.2139182742631, + "fos_buckling": 0.6574746549103567, + "fos_yielding": 2.6445131397183994, + "deflection": 0.022944557024813343, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3413": { + "node_id": "node_3413", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0022)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n\nPerformance:\n Mass: 128.18 kg\n Factor of Safety: 0.82\n Max Deflection: 1.78e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 128.18468280999292, + "fos_buckling": 0.8229447328091695, + "fos_yielding": 3.415730475790522, + "deflection": 0.017841592247057506, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.309)" + }, + "parent_node_id": "node_3412", + "improvement_over_parent": null + }, + "node_3414": { + "node_id": "node_3414", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0047)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0044)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0027)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0041)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0036)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0036)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0027)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0034)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0038)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0022)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0036)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0037)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0032)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0040)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0050)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0030)]\n\nPerformance:\n Mass: 133.33 kg\n Factor of Safety: 0.92\n Max Deflection: 1.69e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 133.33069987525687, + "fos_buckling": 0.9172690882409008, + "fos_yielding": 3.210260954456961, + "deflection": 0.01691566413442855, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003027)" + }, + "parent_node_id": "node_3413", + "improvement_over_parent": null + }, + "node_3415": { + "node_id": "node_3415", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0026)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n\nPerformance:\n Mass: 157.23 kg\n Factor of Safety: 1.07\n Max Deflection: 1.44e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.22885425964637, + "fos_buckling": 1.067296568208606, + "fos_yielding": 3.7827494891497464, + "deflection": 0.01439515652463533, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.192)" + }, + "parent_node_id": "node_3414", + "improvement_over_parent": null + }, + "node_3416": { + "node_id": "node_3416", + "content": "MODIFICATION: Increase 15 thickness by 52%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0044)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0026)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0065)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n\nPerformance:\n Mass: 161.23 kg\n Factor of Safety: 1.21\n Max Deflection: 1.42e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 161.2347987348753, + "fos_buckling": 1.2061430041193502, + "fos_yielding": 3.787327988552463, + "deflection": 0.014160441356827232, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.520)" + }, + "parent_node_id": "node_3415", + "improvement_over_parent": null + }, + "node_3417": { + "node_id": "node_3417", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0034)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0086)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n\nPerformance:\n Mass: 206.76 kg\n Factor of Safety: 1.49\n Max Deflection: 1.11e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.7603814771661, + "fos_buckling": 1.4919524204923715, + "fos_yielding": 4.854079736097169, + "deflection": 0.011109940754801867, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.311)" + }, + "parent_node_id": "node_3416", + "improvement_over_parent": null + }, + "node_3418": { + "node_id": "node_3418", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3417", + "improvement_over_parent": null + }, + "node_3419": { + "node_id": "node_3419", + "content": "INITIAL DESIGN (Trace 490)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0025)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0024)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0025)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n Mass: 133.17 kg\n Factor of Safety: 0.23\n Max Deflection: 1.84e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 133.16798160699437, + "fos_buckling": 0.23397524480630036, + "fos_yielding": 2.3951317553676685, + "deflection": 0.018438753834997795, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3420": { + "node_id": "node_3420", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0025)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0024)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0025)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n\nPerformance:\n Mass: 133.96 kg\n Factor of Safety: 0.85\n Max Deflection: 1.66e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 133.96027180277457, + "fos_buckling": 0.8487973193263871, + "fos_yielding": 2.395131755367669, + "deflection": 0.016598423590160165, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.001713)" + }, + "parent_node_id": "node_3419", + "improvement_over_parent": null + }, + "node_3421": { + "node_id": "node_3421", + "content": "MODIFICATION: Increase 7 thickness by 55%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0050)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0047)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0044)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0032)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0024)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0038)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0025)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0043)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n\nPerformance:\n Mass: 135.35 kg\n Factor of Safety: 0.85\n Max Deflection: 1.66e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 135.35331611545055, + "fos_buckling": 0.8487973193263871, + "fos_yielding": 3.6296523821826443, + "deflection": 0.016598423590160165, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.548)" + }, + "parent_node_id": "node_3420", + "improvement_over_parent": null + }, + "node_3422": { + "node_id": "node_3422", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0030)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0030)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n\nPerformance:\n Mass: 162.75 kg\n Factor of Safety: 1.01\n Max Deflection: 1.39e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.74523888764801, + "fos_buckling": 1.0094161071013106, + "fos_yielding": 4.362030976623454, + "deflection": 0.01387020104376004, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.218)" + }, + "parent_node_id": "node_3421", + "improvement_over_parent": null + }, + "node_3423": { + "node_id": "node_3423", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0030)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0030)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n\nPerformance:\n Mass: 167.24 kg\n Factor of Safety: 1.02\n Max Deflection: 1.30e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 167.23543671107066, + "fos_buckling": 1.0240322541884082, + "fos_yielding": 4.094668076492113, + "deflection": 0.013045371410025753, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003514)" + }, + "parent_node_id": "node_3422", + "improvement_over_parent": null + }, + "node_3424": { + "node_id": "node_3424", + "content": "MODIFICATION: Increase 17 thickness by 59%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0030)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0030)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0084)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n\nPerformance:\n Mass: 173.36 kg\n Factor of Safety: 1.01\n Max Deflection: 1.29e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.36027234736014, + "fos_buckling": 1.0147604100055128, + "fos_yielding": 4.094617042947946, + "deflection": 0.01288499802109226, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.592)" + }, + "parent_node_id": "node_3423", + "improvement_over_parent": null + }, + "node_3425": { + "node_id": "node_3425", + "content": "MODIFICATION: Increase 15 thickness by 46%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0030)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0084)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n\nPerformance:\n Mass: 176.06 kg\n Factor of Safety: 1.17\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.06034397988378, + "fos_buckling": 1.1672580549903067, + "fos_yielding": 4.096030905658265, + "deflection": 0.013089902502495154, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.464)" + }, + "parent_node_id": "node_3424", + "improvement_over_parent": null + }, + "node_3426": { + "node_id": "node_3426", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0053)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0100)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 207.96 kg\n Factor of Safety: 1.35\n Max Deflection: 1.11e-02 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 207.9554002225445, + "fos_buckling": 1.3544617588155157, + "fos_yielding": 4.837870089009982, + "deflection": 0.011126835876994244, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.200)" + }, + "parent_node_id": "node_3425", + "improvement_over_parent": null + }, + "node_3427": { + "node_id": "node_3427", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3426", + "improvement_over_parent": null + }, + "node_3428": { + "node_id": "node_3428", + "content": "INITIAL DESIGN (Trace 491)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0037)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0043)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0022)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0040)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0028)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n\nPerformance:\n Mass: 113.71 kg\n Factor of Safety: 0.27\n Max Deflection: 1.31e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 113.71472664454106, + "fos_buckling": 0.26599584275220933, + "fos_yielding": 3.454252861211727, + "deflection": 13138637703166.066, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3429": { + "node_id": "node_3429", + "content": "MODIFICATION: Increase 3 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0048)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0046)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0028)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0043)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0038)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0017)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0028)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0022)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0040)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0031)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0035)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0037)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0028)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0033)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0042)]\n\nPerformance:\n Mass: 115.54 kg\n Factor of Safety: 0.17\n Max Deflection: 2.35e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 115.542294494357, + "fos_buckling": 0.16906286976399348, + "fos_yielding": 3.058828536470524, + "deflection": 23497274242287.094, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.247)" + }, + "parent_node_id": "node_3428", + "improvement_over_parent": null + }, + "node_3430": { + "node_id": "node_3430", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0027)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0036)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n\nPerformance:\n Mass: 145.22 kg\n Factor of Safety: 0.71\n Max Deflection: 5.01e+12 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 145.21571995099646, + "fos_buckling": 0.7136464751624707, + "fos_yielding": 2.812078754598931, + "deflection": 5012039624784.359, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.277)" + }, + "parent_node_id": "node_3429", + "improvement_over_parent": null + }, + "node_3431": { + "node_id": "node_3431", + "content": "MODIFICATION: Increase 16 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0027)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n\nPerformance:\n Mass: 147.67 kg\n Factor of Safety: 0.71\n Max Deflection: 9.37e+12 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 147.66868640842154, + "fos_buckling": 0.7136464751624707, + "fos_yielding": 3.142609463442321, + "deflection": 9368671124254.494, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.361)" + }, + "parent_node_id": "node_3430", + "improvement_over_parent": null + }, + "node_3432": { + "node_id": "node_3432", + "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0027)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n\nPerformance:\n Mass: 165.52 kg\n Factor of Safety: 0.96\n Max Deflection: 1.44e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.5191057803068, + "fos_buckling": 0.962841211879427, + "fos_yielding": 3.9544388211864194, + "deflection": 0.014407605452699018, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.006532)" + }, + "parent_node_id": "node_3431", + "improvement_over_parent": null + }, + "node_3433": { + "node_id": "node_3433", + "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0027)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0048)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0042)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0053)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0065)]\n M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0048)]\n\nPerformance:\n Mass: 173.62 kg\n Factor of Safety: 0.97\n Max Deflection: 1.32e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.62253980660725, + "fos_buckling": 0.9726935959980193, + "fos_yielding": 3.060840546978465, + "deflection": 0.013228751801182452, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.004754)" + }, + "parent_node_id": "node_3432", + "improvement_over_parent": null + }, + "node_3434": { + "node_id": "node_3434", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n Mass: 202.88 kg\n Factor of Safety: 1.12\n Max Deflection: 1.14e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.88063685895352, + "fos_buckling": 1.123423434866626, + "fos_yielding": 3.591082812747639, + "deflection": 0.011368131771302754, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.185)" + }, + "parent_node_id": "node_3433", + "improvement_over_parent": null + }, + "node_3435": { + "node_id": "node_3435", + "content": "MODIFICATION: Increase 12 thickness by 65%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0099)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n\nPerformance:\n Mass: 209.81 kg\n Factor of Safety: 1.12\n Max Deflection: 1.12e-02 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.8114111091721, + "fos_buckling": 1.1232931340219587, + "fos_yielding": 3.590666299161355, + "deflection": 0.01115690005975158, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.650)" + }, + "parent_node_id": "node_3434", + "improvement_over_parent": null + }, + "node_3436": { + "node_id": "node_3436", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3435", + "improvement_over_parent": null + }, + "node_3437": { + "node_id": "node_3437", + "content": "INITIAL DESIGN (Trace 492)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0024)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0029)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0033)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0032)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0019)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0033)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0026)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0026)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0011)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0009)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0019)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0025)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0027)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0022)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0024)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0026)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0026)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0023)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0029)]\n\nPerformance:\n Mass: 82.21 kg\n Factor of Safety: 0.18\n Max Deflection: 6.90e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 82.21406061384764, + "fos_buckling": 0.1799065146509565, + "fos_yielding": 0.9207600648288266, + "deflection": 0.06897142640024434, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3438": { + "node_id": "node_3438", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0044)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0034)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0036)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0028)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0033)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0034)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n\nPerformance:\n Mass: 105.76 kg\n Factor of Safety: 0.23\n Max Deflection: 5.38e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 105.76227233225354, + "fos_buckling": 0.2253143446791185, + "fos_yielding": 1.1798399789503335, + "deflection": 0.05381136523280305, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.302)" + }, + "parent_node_id": "node_3437", + "improvement_over_parent": null + }, + "node_3439": { + "node_id": "node_3439", + "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0032)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0044)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0041)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0025)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0034)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0034)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0032)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0036)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0028)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0031)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0033)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0034)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0030)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0038)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0046)]\n\nPerformance:\n Mass: 118.64 kg\n Factor of Safety: 0.23\n Max Deflection: 4.51e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 118.63821057693, + "fos_buckling": 0.22506907133404325, + "fos_yielding": 1.2955941436015657, + "deflection": 0.04508642013311663, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.004609)" + }, + "parent_node_id": "node_3438", + "improvement_over_parent": null + }, + "node_3440": { + "node_id": "node_3440", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n\nPerformance:\n Mass: 147.89 kg\n Factor of Safety: 0.27\n Max Deflection: 3.63e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 147.89215867572509, + "fos_buckling": 0.2721219732330894, + "fos_yielding": 1.6072805028217678, + "deflection": 0.03633795780913135, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.264)" + }, + "parent_node_id": "node_3439", + "improvement_over_parent": null + }, + "node_3441": { + "node_id": "node_3441", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0055)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0042)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0031)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0040)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0045)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0039)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0042)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0043)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0037)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0058)]\n M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n\nPerformance:\n Mass: 157.51 kg\n Factor of Safety: 1.23\n Max Deflection: 1.45e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.51140602550836, + "fos_buckling": 1.231383059543403, + "fos_yielding": 3.7259589524159225, + "deflection": 0.01448863549608858, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.004873)" + }, + "parent_node_id": "node_3440", + "improvement_over_parent": null + }, + "node_3442": { + "node_id": "node_3442", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n Mass: 204.58 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.58464638326097, + "fos_buckling": 1.5302192704264304, + "fos_yielding": 4.833400607089488, + "deflection": 0.011231808744882525, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.328)" + }, + "parent_node_id": "node_3441", + "improvement_over_parent": null + }, + "node_3443": { + "node_id": "node_3443", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3442", + "improvement_over_parent": null + }, + "node_3444": { + "node_id": "node_3444", + "content": "INITIAL DESIGN (Trace 493)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0029)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0040)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0038)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0023)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0036)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0031)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0031)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0011)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0018)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0030)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0033)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0026)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0029)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0031)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0032)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0027)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0035)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0043)]\n\nPerformance:\n Mass: 108.15 kg\n Factor of Safety: 0.17\n Max Deflection: 5.86e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 108.14646782276066, + "fos_buckling": 0.17285063262030922, + "fos_yielding": 0.8007288133596289, + "deflection": 0.05855870410200389, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3445": { + "node_id": "node_3445", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0033)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0045)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0043)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0026)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0040)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0035)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0012)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0012)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0033)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0037)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0029)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0032)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0035)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0035)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0031)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0039)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0048)]\n\nPerformance:\n Mass: 120.63 kg\n Factor of Safety: 0.19\n Max Deflection: 5.26e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 120.63082726560188, + "fos_buckling": 0.19029438833947895, + "fos_yielding": 0.8918488212173403, + "deflection": 0.052582400077824255, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.122)" + }, + "parent_node_id": "node_3444", + "improvement_over_parent": null + }, + "node_3446": { + "node_id": "node_3446", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0039)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0022)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0037)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0041)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0036)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0040)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0034)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0053)]\n\nPerformance:\n Mass: 133.78 kg\n Factor of Safety: 0.21\n Max Deflection: 4.75e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 133.77928181135434, + "fos_buckling": 0.20811605619463708, + "fos_yielding": 0.9875262177742794, + "deflection": 0.04749418652494904, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.116)" + }, + "parent_node_id": "node_3445", + "improvement_over_parent": null + }, + "node_3447": { + "node_id": "node_3447", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0026)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n\nPerformance:\n Mass: 158.46 kg\n Factor of Safety: 0.24\n Max Deflection: 4.02e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 158.46229566498855, + "fos_buckling": 0.24005999244177692, + "fos_yielding": 1.1663395024962562, + "deflection": 0.04022271353974005, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.199)" + }, + "parent_node_id": "node_3446", + "improvement_over_parent": null + }, + "node_3448": { + "node_id": "node_3448", + "content": "MODIFICATION: Increase 10 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0054)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0016)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n\nPerformance:\n Mass: 159.05 kg\n Factor of Safety: 0.24\n Max Deflection: 4.01e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.045131941777, + "fos_buckling": 0.24003647748844822, + "fos_yielding": 1.1662234041737505, + "deflection": 0.04006704990940514, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.309)" + }, + "parent_node_id": "node_3447", + "improvement_over_parent": null + }, + "node_3449": { + "node_id": "node_3449", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 189.17 kg\n Factor of Safety: 0.28\n Max Deflection: 3.38e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.1707072653335, + "fos_buckling": 0.27625377727594636, + "fos_yielding": 1.3822969032691206, + "deflection": 0.03381564744757638, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.208)" + }, + "parent_node_id": "node_3448", + "improvement_over_parent": null + }, + "node_3450": { + "node_id": "node_3450", + "content": "MODIFICATION: Increase 8 thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 189.41 kg\n Factor of Safety: 0.28\n Max Deflection: 3.38e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.41493662731014, + "fos_buckling": 0.2762424907897306, + "fos_yielding": 1.389508167742535, + "deflection": 0.0337861948120076, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.304)" + }, + "parent_node_id": "node_3449", + "improvement_over_parent": null + }, + "node_3451": { + "node_id": "node_3451", + "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 204.60 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.59949064221155, + "fos_buckling": 1.529720533142391, + "fos_yielding": 4.834253747536481, + "deflection": 0.011231541050000047, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)" + }, + "parent_node_id": "node_3450", + "improvement_over_parent": null + }, + "node_3452": { + "node_id": "node_3452", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3451", + "improvement_over_parent": null + }, + "node_3453": { + "node_id": "node_3453", + "content": "INITIAL DESIGN (Trace 494)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0051)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0048)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0045)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0034)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0039)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0040)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0054)]\n\nPerformance:\n Mass: 140.10 kg\n Factor of Safety: 0.88\n Max Deflection: 1.76e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 140.09598706442884, + "fos_buckling": 0.8831306784957692, + "fos_yielding": 3.7123302260741147, + "deflection": 0.01757120384933386, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3454": { + "node_id": "node_3454", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n Mass: 160.54 kg\n Factor of Safety: 0.99\n Max Deflection: 1.54e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 160.54279433739333, + "fos_buckling": 0.9890936990916093, + "fos_yielding": 4.252899579037532, + "deflection": 0.015373420039777904, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.157)" + }, + "parent_node_id": "node_3453", + "improvement_over_parent": null + }, + "node_3455": { + "node_id": "node_3455", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n\nPerformance:\n Mass: 164.92 kg\n Factor of Safety: 1.03\n Max Deflection: 1.46e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.9168519446325, + "fos_buckling": 1.0328492768475843, + "fos_yielding": 3.991597475662509, + "deflection": 0.014616780257217339, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003416)" + }, + "parent_node_id": "node_3454", + "improvement_over_parent": null + }, + "node_3456": { + "node_id": "node_3456", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 200.27 kg\n Factor of Safety: 1.23\n Max Deflection: 1.21e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.2689986706937, + "fos_buckling": 1.227739460791264, + "fos_yielding": 4.841133056965228, + "deflection": 0.012085115220268111, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.235)" + }, + "parent_node_id": "node_3455", + "improvement_over_parent": null + }, + "node_3457": { + "node_id": "node_3457", + "content": "MODIFICATION: Increase 6 thickness by 46%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0082)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 204.01 kg\n Factor of Safety: 1.23\n Max Deflection: 1.20e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.01373869049377, + "fos_buckling": 1.2292428076585662, + "fos_yielding": 4.841123353393747, + "deflection": 0.012005890449131957, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.456)" + }, + "parent_node_id": "node_3456", + "improvement_over_parent": null + }, + "node_3458": { + "node_id": "node_3458", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3457", + "improvement_over_parent": null + }, + "node_3459": { + "node_id": "node_3459", + "content": "INITIAL DESIGN (Trace 495)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0039)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0054)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0050)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0031)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0041)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0042)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0022)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0039)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0044)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0035)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0038)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0041)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0042)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0036)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0046)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0057)]\n\nPerformance:\n Mass: 143.45 kg\n Factor of Safety: 0.27\n Max Deflection: 3.74e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 143.44858206192356, + "fos_buckling": 0.2661999031251391, + "fos_yielding": 1.532962918676982, + "deflection": 0.037391596812283476, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3460": { + "node_id": "node_3460", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0061)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0035)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0047)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0047)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0021)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0017)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0025)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0045)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0050)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0039)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0043)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0047)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0047)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0041)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0052)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0064)]\n\nPerformance:\n Mass: 161.13 kg\n Factor of Safety: 0.29\n Max Deflection: 3.34e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 161.12856032637626, + "fos_buckling": 0.29342908253962763, + "fos_yielding": 1.7172717340134585, + "deflection": 0.03338272597182384, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.133)" + }, + "parent_node_id": "node_3459", + "improvement_over_parent": null + }, + "node_3461": { + "node_id": "node_3461", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0030)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 191.36 kg\n Factor of Safety: 0.34\n Max Deflection: 2.82e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.36090451413264, + "fos_buckling": 0.33723776861980387, + "fos_yielding": 2.0301757280763164, + "deflection": 0.028244025829819663, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.206)" + }, + "parent_node_id": "node_3460", + "improvement_over_parent": null + }, + "node_3462": { + "node_id": "node_3462", + "content": "MODIFICATION: Increase 10 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 192.17 kg\n Factor of Safety: 0.34\n Max Deflection: 2.82e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.17010014183063, + "fos_buckling": 0.33719214972995076, + "fos_yielding": 2.0735328230411945, + "deflection": 0.028161923874282794, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.385)" + }, + "parent_node_id": "node_3461", + "improvement_over_parent": null + }, + "node_3463": { + "node_id": "node_3463", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M6: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n\nPerformance:\n Mass: 204.66 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.65790721884738, + "fos_buckling": 1.5301399983503265, + "fos_yielding": 4.835694412903573, + "deflection": 0.011228883156840078, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.006468)" + }, + "parent_node_id": "node_3462", + "improvement_over_parent": null + }, + "node_3464": { + "node_id": "node_3464", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3463", + "improvement_over_parent": null + }, + "node_3465": { + "node_id": "node_3465", + "content": "INITIAL DESIGN (Trace 496)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (17 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n\nPerformance:\n Mass: 137.89 kg\n Factor of Safety: 0.81\n Max Deflection: 3.86e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 137.89019149834158, + "fos_buckling": 0.8145787347251964, + "fos_yielding": 3.814985146000878, + "deflection": 3856542762982.1934, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3466": { + "node_id": "node_3466", + "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n M17: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n\nPerformance:\n Mass: 145.28 kg\n Factor of Safety: 0.83\n Max Deflection: 1.65e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 145.2841795202769, + "fos_buckling": 0.828677399149518, + "fos_yielding": 3.809887333386737, + "deflection": 0.016488497187951822, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.003975)" + }, + "parent_node_id": "node_3465", + "improvement_over_parent": null + }, + "node_3467": { + "node_id": "node_3467", + "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n M17: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n\nPerformance:\n Mass: 147.70 kg\n Factor of Safety: 0.89\n Max Deflection: 1.59e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 147.7043013642708, + "fos_buckling": 0.887376264790288, + "fos_yielding": 3.762604372660123, + "deflection": 0.01587893054640657, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003168)" + }, + "parent_node_id": "node_3466", + "improvement_over_parent": null + }, + "node_3468": { + "node_id": "node_3468", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n M17: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n\nPerformance:\n Mass: 148.26 kg\n Factor of Safety: 0.89\n Max Deflection: 1.58e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 148.26061712594836, + "fos_buckling": 0.8873202938782065, + "fos_yielding": 3.7616023822862554, + "deflection": 0.01583657019733054, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001519)" + }, + "parent_node_id": "node_3467", + "improvement_over_parent": null + }, + "node_3469": { + "node_id": "node_3469", + "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0056)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0043)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0043)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0019)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0041)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0046)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0036)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0043)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0044)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0038)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0059)]\n M17: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0040)]\n M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0032)]\n M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0015)]\n M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0048)]\n\nPerformance:\n Mass: 159.05 kg\n Factor of Safety: 1.24\n Max Deflection: 1.44e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.04832763779683, + "fos_buckling": 1.2411622986739006, + "fos_yielding": 3.7626950633126244, + "deflection": 0.014353382294039362, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.004801)" + }, + "parent_node_id": "node_3468", + "improvement_over_parent": null + }, + "node_3470": { + "node_id": "node_3470", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M14: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M15: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M16: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M17: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M18: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M19: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M20: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n\nPerformance:\n Mass: 204.83 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.83279234166855, + "fos_buckling": 1.5311782216480236, + "fos_yielding": 4.839901264522936, + "deflection": 0.011219769558262139, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.316)" + }, + "parent_node_id": "node_3469", + "improvement_over_parent": null + }, + "node_3471": { + "node_id": "node_3471", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3470", + "improvement_over_parent": null + }, + "node_3472": { + "node_id": "node_3472", + "content": "INITIAL DESIGN (Trace 497)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0052)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0049)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0046)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0040)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0028)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0055)]\n\nPerformance:\n Mass: 137.58 kg\n Factor of Safety: 0.15\n Max Deflection: 1.61e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 137.58360771775637, + "fos_buckling": 0.1542218929980346, + "fos_yielding": 3.4803634816521933, + "deflection": 0.016090906918995423, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3473": { + "node_id": "node_3473", + "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0052)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0049)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0046)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0040)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0013)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0010)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0029)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0028)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0055)]\n M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0040)]\n\nPerformance:\n Mass: 145.87 kg\n Factor of Safety: 1.17\n Max Deflection: 1.57e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 145.87265798003511, + "fos_buckling": 1.1693799975035482, + "fos_yielding": 3.5032686773651625, + "deflection": 0.015656443459730003, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004047)" + }, + "parent_node_id": "node_3472", + "improvement_over_parent": null + }, + "node_3474": { + "node_id": "node_3474", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0032)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n\nPerformance:\n Mass: 165.13 kg\n Factor of Safety: 1.30\n Max Deflection: 1.39e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.12757180158198, + "fos_buckling": 1.2999372472910173, + "fos_yielding": 3.963251553318254, + "deflection": 0.013868197105959408, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.142)" + }, + "parent_node_id": "node_3473", + "improvement_over_parent": null + }, + "node_3475": { + "node_id": "node_3475", + "content": "MODIFICATION: Increase 16 thickness by 41%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0045)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0011)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0043)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0048)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0045)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0062)]\n M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n\nPerformance:\n Mass: 167.62 kg\n Factor of Safety: 1.30\n Max Deflection: 1.36e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 167.62133041411076, + "fos_buckling": 1.300453886480112, + "fos_yielding": 3.9699058571035897, + "deflection": 0.013616808111920875, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.410)" + }, + "parent_node_id": "node_3474", + "improvement_over_parent": null + }, + "node_3476": { + "node_id": "node_3476", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n Mass: 204.41 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.41198276260377, + "fos_buckling": 1.5316721846286454, + "fos_yielding": 4.836387048987115, + "deflection": 0.011226061890876361, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.241)" + }, + "parent_node_id": "node_3475", + "improvement_over_parent": null + }, + "node_3477": { + "node_id": "node_3477", + "content": "MODIFICATION: Increase 9 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n Mass: 204.71 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.7092941959846, + "fos_buckling": 1.5315257122795873, + "fos_yielding": 4.842757666978902, + "deflection": 0.011231261614881468, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.393)" + }, + "parent_node_id": "node_3476", + "improvement_over_parent": null + }, + "node_3478": { + "node_id": "node_3478", + "content": "MODIFICATION: Increase 10 thickness by 47%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n\nPerformance:\n Mass: 204.92 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.92354005295033, + "fos_buckling": 1.5317704263965088, + "fos_yielding": 4.842156315501358, + "deflection": 0.011214996796777605, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.468)" + }, + "parent_node_id": "node_3477", + "improvement_over_parent": null + }, + "node_3479": { + "node_id": "node_3479", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3478", + "improvement_over_parent": null + }, + "node_3480": { + "node_id": "node_3480", + "content": "INITIAL DESIGN (Trace 498)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0024)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0052)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0049)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0038)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0040)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0027)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0040)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0055)]\n\nPerformance:\n Mass: 141.31 kg\n Factor of Safety: 0.70\n Max Deflection: 1.75e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 141.3073562873455, + "fos_buckling": 0.7009324685339728, + "fos_yielding": 3.4737599683355156, + "deflection": 0.017469742075100193, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3481": { + "node_id": "node_3481", + "content": "MODIFICATION: Increase 11 thickness by 40%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0024)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0052)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0049)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0030)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0038)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0040)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0040)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0018)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0014)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0038)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0042)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0033)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0037)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0040)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0040)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0035)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0045)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0055)]\n\nPerformance:\n Mass: 142.34 kg\n Factor of Safety: 0.69\n Max Deflection: 1.74e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 142.33703308858497, + "fos_buckling": 0.6856462753231759, + "fos_yielding": 3.4742932465956873, + "deflection": 0.01744466748885297, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.403)" + }, + "parent_node_id": "node_3480", + "improvement_over_parent": null + }, + "node_3482": { + "node_id": "node_3482", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0028)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0043)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n\nPerformance:\n Mass: 161.92 kg\n Factor of Safety: 0.77\n Max Deflection: 1.54e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 161.92375531022103, + "fos_buckling": 0.7671332462550189, + "fos_yielding": 3.949857844226115, + "deflection": 0.015360744647629833, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.148)" + }, + "parent_node_id": "node_3481", + "improvement_over_parent": null + }, + "node_3483": { + "node_id": "node_3483", + "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0028)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0043)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n\nPerformance:\n Mass: 164.49 kg\n Factor of Safety: 1.18\n Max Deflection: 1.42e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.4884969699764, + "fos_buckling": 1.1784013678395708, + "fos_yielding": 3.9377488722330187, + "deflection": 0.01422894554701554, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003372)" + }, + "parent_node_id": "node_3482", + "improvement_over_parent": null + }, + "node_3484": { + "node_id": "node_3484", + "content": "MODIFICATION: Increase 0 thickness by 56%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0043)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n\nPerformance:\n Mass: 166.89 kg\n Factor of Safety: 1.17\n Max Deflection: 1.40e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.89351861260687, + "fos_buckling": 1.1723605375088668, + "fos_yielding": 3.9834696726706937, + "deflection": 0.013971791444379402, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.558)" + }, + "parent_node_id": "node_3483", + "improvement_over_parent": null + }, + "node_3485": { + "node_id": "node_3485", + "content": "MODIFICATION: Increase 5 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0059)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0052)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0046)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0046)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0020)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0016)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0044)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0049)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0038)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0042)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0046)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0046)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0040)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0051)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0063)]\n M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0034)]\n\nPerformance:\n Mass: 168.60 kg\n Factor of Safety: 1.30\n Max Deflection: 1.36e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 168.59975442826737, + "fos_buckling": 1.304092116536702, + "fos_yielding": 3.987381009555223, + "deflection": 0.013558054246389086, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.214)" + }, + "parent_node_id": "node_3484", + "improvement_over_parent": null + }, + "node_3486": { + "node_id": "node_3486", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M16: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M17: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M18: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M19: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M20: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n\nPerformance:\n Mass: 204.83 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.8311075264552, + "fos_buckling": 1.5311454320557578, + "fos_yielding": 4.839557487125961, + "deflection": 0.011218955132382007, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.236)" + }, + "parent_node_id": "node_3485", + "improvement_over_parent": null + }, + "node_3487": { + "node_id": "node_3487", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3486", + "improvement_over_parent": null + }, + "node_3488": { + "node_id": "node_3488", + "content": "INITIAL DESIGN (Trace 499)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0035)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 181.15 kg\n Factor of Safety: 0.45\n Max Deflection: 1.68e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.15495575524432, + "fos_buckling": 0.4537982942933308, + "fos_yielding": 4.145800416188192, + "deflection": 0.01678855773057578, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3489": { + "node_id": "node_3489", + "content": "MODIFICATION: Increase 7 thickness by 59%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0044)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 184.47 kg\n Factor of Safety: 0.45\n Max Deflection: 1.67e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.47468079148763, + "fos_buckling": 0.45367241178493034, + "fos_yielding": 4.145574509546397, + "deflection": 0.016694908218470767, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.592)" + }, + "parent_node_id": "node_3488", + "improvement_over_parent": null + }, + "node_3490": { + "node_id": "node_3490", + "content": "MODIFICATION: Increase 17 thickness by 43%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0049)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 188.42 kg\n Factor of Safety: 0.45\n Max Deflection: 1.66e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.41803751376696, + "fos_buckling": 0.45352297215915366, + "fos_yielding": 4.145306196879158, + "deflection": 0.016587383201524388, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.435)" + }, + "parent_node_id": "node_3489", + "improvement_over_parent": null + }, + "node_3491": { + "node_id": "node_3491", + "content": "MODIFICATION: Increase 5 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (19 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 191.17 kg\n Factor of Safety: 0.45\n Max Deflection: 1.64e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.17445193903467, + "fos_buckling": 0.45341857200157654, + "fos_yielding": 4.145118666398159, + "deflection": 0.016406879403331884, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.311)" + }, + "parent_node_id": "node_3490", + "improvement_over_parent": null + }, + "node_3492": { + "node_id": "node_3492", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (20 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n\nPerformance:\n Mass: 202.19 kg\n Factor of Safety: 1.35\n Max Deflection: 1.12e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.19010881492164, + "fos_buckling": 1.3541734797055713, + "fos_yielding": 4.768456596634359, + "deflection": 0.011229989858271859, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.005624)" + }, + "parent_node_id": "node_3491", + "improvement_over_parent": null + }, + "node_3493": { + "node_id": "node_3493", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M20: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n\nPerformance:\n Mass: 203.32 kg\n Factor of Safety: 1.52\n Max Deflection: 1.13e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 203.31675663520826, + "fos_buckling": 1.5163556190900855, + "fos_yielding": 4.839710196322697, + "deflection": 0.011254102728742115, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002506)" + }, + "parent_node_id": "node_3492", + "improvement_over_parent": null + }, + "node_3494": { + "node_id": "node_3494", + "content": "MODIFICATION: Increase 15 thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M10: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M11: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M12: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M14: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0068)]\n M16: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M17: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M18: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n M19: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M20: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n\nPerformance:\n Mass: 205.23 kg\n Factor of Safety: 1.53\n Max Deflection: 1.13e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 205.23307134299532, + "fos_buckling": 1.5319970062471873, + "fos_yielding": 4.840253644165119, + "deflection": 0.011348724343382273, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.188)" + }, + "parent_node_id": "node_3493", + "improvement_over_parent": null + }, + "node_3495": { + "node_id": "node_3495", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (21 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0073)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0069)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0253, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0065)]\n M6: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M7: J8-J9 [6061_T6_Aluminum, Pipe(r=0.0338, t=0.0056)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0025)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0020)]\n M11: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0042)]\n M12: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0054)]\n M13: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0047)]\n M15: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0052)]\n M16: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0056)]\n M17: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0057)]\n M18: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0298, t=0.0050)]\n M19: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0063)]\n M20: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0077)]\n\nPerformance:\n Mass: 204.70 kg\n Factor of Safety: 1.53\n Max Deflection: 1.12e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 204.70062213747016, + "fos_buckling": 1.530394050101832, + "fos_yielding": 4.836788473655829, + "deflection": 0.011226809832519788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3494", + "improvement_over_parent": null + } + }, + "edges": [ + { + "from_node": "node_0", + "to_node": "node_1", + "edge_type": "modification", + "reasoning": "Increase 8 thickness by 54%", + "metadata": null, + "grammar_action": "SCALE_PARAM(8, thickness, 1.541)", + "action_type": null, + "target_member": null, + "parameter_name": null, + "old_value": null, + "new_value": null, + "scale_factor": null + }, + { + "from_node": "node_1", + "to_node": "node_2", + "edge_type": "modification", + "reasoning": "Increase all_members thickness by 18%", + "metadata": null, + "grammar_action": "SCALE_PARAM(all_members, thickness, 1.176)", + "action_type": null, + "target_member": null, + "parameter_name": null, + "old_value": null, + "new_value": null, + "scale_factor": null + }, + { + "from_node": "node_2", + "to_node": "node_3", + "edge_type": "modification", + "reasoning": "Add member connecting joints 3 and 7", + "metadata": null, + "grammar_action": "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004231)", + "action_type": null, + "target_member": null, + "parameter_name": null, + "old_value": null, + "new_value": null, + "scale_factor": null + }, + { + "from_node": "node_3", + "to_node": "node_4", + "edge_type": "modification", + "reasoning": "Increase all_members thickness by 18%", + "metadata": null, + "grammar_action": "SCALE_PARAM(all_members, thickness, 1.175)", + "action_type": null, + "target_member": null, + "parameter_name": null, + "old_value": null, + "new_value": null, + "scale_factor": null + }, + { + "from_node": "node_4", + "to_node": "node_5", + "edge_type": "modification", + "reasoning": "Increase 10 thickness by 35%", + "metadata": null, + "grammar_action": "SCALE_PARAM(10, thickness, 1.350)", + "action_type": null, + "target_member": null, + "parameter_name": null, + "old_value": null, + "new_value": null, + "scale_factor": null + }, + { + "from_node": "node_5", + "to_node": "node_6", + "edge_type": "modification", + "reasoning": "Optimal solution", + "metadata": null, + "grammar_action": "OPTIMAL_STATE", + "action_type": null, + "target_member": null, + "parameter_name": null, + "old_value": null, + "new_value": null, + "scale_factor": null + }, + { + "from_node": "node_7", + "to_node": "node_8", + "edge_type": "modification", + "reasoning": "Add member connecting joints 8 and 9", + "metadata": null, + "grammar_action": "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.004527)", + "action_type": null, + "target_member": null, + "parameter_name": null, + "old_value": null, + "new_value": null, + "scale_factor": null + }, + { + "from_node": "node_8", + "to_node": "node_9", + "edge_type": "modification", + "reasoning": "Add member connecting joints 6 and 7", + "metadata": null, + "grammar_action": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.005201)", + "action_type": null, + "target_member": null, + "parameter_name": null, + "old_value": null, + "new_value": null, + "scale_factor": null + }, + { + "from_node": "node_9", + "to_node": "node_10", + "edge_type": "modification", + "reasoning": "Increase 9 thickness by 52%", + "metadata": null, + "grammar_action": "SCALE_PARAM(9, thickness, 1.522)", + "action_type": null, + "target_member": null, + "parameter_name": null, + "old_value": null, + "new_value": null, + "scale_factor": null + }, + { + "from_node": "node_10", + "to_node": "node_11", + "edge_type": "modification", + "reasoning": "Increase all_members thickness by 24%", + "metadata": null, + "grammar_action": "SCALE_PARAM(all_members, thickness, 1.244)", + "action_type": null, + 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"new_value": null, + "scale_factor": null + }, + { + "from_node": "node_3485", + "to_node": "node_3486", + "edge_type": "modification", + "reasoning": "Increase all_members thickness by 24%", + "metadata": null, + "grammar_action": "SCALE_PARAM(all_members, thickness, 1.236)", + "action_type": null, + "target_member": null, + "parameter_name": null, + "old_value": null, + "new_value": null, + "scale_factor": null + }, + { + "from_node": "node_3486", + "to_node": "node_3487", + "edge_type": "modification", + "reasoning": "Optimal solution", + "metadata": null, + "grammar_action": "OPTIMAL_STATE", + "action_type": null, + "target_member": null, + "parameter_name": null, + "old_value": null, + "new_value": null, + "scale_factor": null + }, + { + "from_node": "node_3488", + "to_node": "node_3489", + "edge_type": "modification", + "reasoning": "Increase 7 thickness by 59%", + "metadata": null, + "grammar_action": "SCALE_PARAM(7, thickness, 1.592)", + "action_type": null, + "target_member": 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"to_node": "node_3495", + "edge_type": "modification", + "reasoning": "Optimal solution", + "metadata": null, + "grammar_action": "OPTIMAL_STATE", + "action_type": null, + "target_member": null, + "parameter_name": null, + "old_value": null, + "new_value": null, + "scale_factor": null + } + ] +} \ No newline at end of file